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Diffstat (limited to 'DSP_Lib/Examples')
50 files changed, 31769 insertions, 0 deletions
diff --git a/DSP_Lib/Examples/arm_class_marks_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_class_marks_example/ARM/Abstract.txt new file mode 100644 index 0000000..14dae71 --- /dev/null +++ b/DSP_Lib/Examples/arm_class_marks_example/ARM/Abstract.txt @@ -0,0 +1,4 @@ +CMSIS DSP_Lib example arm_class_marks_example for + Cortex-M0, Cortex-M3 and Cortex-M4 with FPU + +The example is configured for uVision Simulator diff --git a/DSP_Lib/Examples/arm_class_marks_example/ARM/arm_class_marks_example_f32.c b/DSP_Lib/Examples/arm_class_marks_example/ARM/arm_class_marks_example_f32.c new file mode 100644 index 0000000..d140e26 --- /dev/null +++ b/DSP_Lib/Examples/arm_class_marks_example/ARM/arm_class_marks_example_f32.c @@ -0,0 +1,211 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_class_marks_example_f32.c +* +* Description: Example code to calculate Minimum, Maximum +* Mean, std and variance of marks obtained in a class +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + +/** + * @ingroup groupExamples + */ + +/** + * @defgroup ClassMarks Class Marks Example + * + * \par Description: + * \par + * Demonstrates the use the Maximum, Minimum, Mean, Standard Deviation, Variance + * and Matrix functions to calculate statistical values of marks obtained in a class. + * + * \note This example also demonstrates the usage of static initialization. + * + * \par Variables Description: + * \par + * \li \c testMarks_f32 points to the marks scored by 20 students in 4 subjects + * \li \c max_marks Maximum of all marks + * \li \c min_marks Minimum of all marks + * \li \c mean Mean of all marks + * \li \c var Variance of the marks + * \li \c std Standard deviation of the marks + * \li \c numStudents Total number of students in the class + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_mat_init_f32() + * - arm_mat_mult_f32() + * - arm_max_f32() + * - arm_min_f32() + * - arm_mean_f32() + * - arm_std_f32() + * - arm_var_f32() + * + * <b> Refer </b> + * \link arm_class_marks_example_f32.c \endlink + * + */ + + +/** \example arm_class_marks_example_f32.c + */ +#include "arm_math.h" + +#define USE_STATIC_INIT + + /* ---------------------------------------------------------------------- +** Global defines +** ------------------------------------------------------------------- */ + +#define TEST_LENGTH_SAMPLES (20*4) + +/* ---------------------------------------------------------------------- +** List of Marks scored by 20 students for 4 subjects +** ------------------------------------------------------------------- */ +const float32_t testMarks_f32[TEST_LENGTH_SAMPLES] = +{ + 42.000000, 37.000000, 81.000000, 28.000000, + 83.000000, 72.000000, 36.000000, 38.000000, + 32.000000, 51.000000, 63.000000, 64.000000, + 97.000000, 82.000000, 95.000000, 90.000000, + 66.000000, 51.000000, 54.000000, 42.000000, + 67.000000, 56.000000, 45.000000, 57.000000, + 67.000000, 69.000000, 35.000000, 52.000000, + 29.000000, 81.000000, 58.000000, 47.000000, + 38.000000, 76.000000, 100.000000, 29.000000, + 33.000000, 47.000000, 29.000000, 50.000000, + 34.000000, 41.000000, 61.000000, 46.000000, + 52.000000, 50.000000, 48.000000, 36.000000, + 47.000000, 55.000000, 44.000000, 40.000000, + 100.000000, 94.000000, 84.000000, 37.000000, + 32.000000, 71.000000, 47.000000, 77.000000, + 31.000000, 50.000000, 49.000000, 35.000000, + 63.000000, 67.000000, 40.000000, 31.000000, + 29.000000, 68.000000, 61.000000, 38.000000, + 31.000000, 28.000000, 28.000000, 76.000000, + 55.000000, 33.000000, 29.000000, 39.000000 +}; + + +/* ---------------------------------------------------------------------- +* Number of subjects X 1 +* ------------------------------------------------------------------- */ +const float32_t testUnity_f32[4] = +{ + 1.000, 1.000, 1.000, 1.000 +}; + + +/* ---------------------------------------------------------------------- +** f32 Output buffer +** ------------------------------------------------------------------- */ +static float32_t testOutput[TEST_LENGTH_SAMPLES]; + + +/* ------------------------------------------------------------------ +* Global defines +*------------------------------------------------------------------- */ +#define NUMSTUDENTS 20 +#define NUMSUBJECTS 4 + +/* ------------------------------------------------------------------ +* Global variables +*------------------------------------------------------------------- */ + + uint32_t numStudents = 20; + uint32_t numSubjects = 4; +float32_t max_marks, min_marks, mean, std, var; + uint32_t student_num; + +/* ---------------------------------------------------------------------------------- +* Main f32 test function. It returns maximum marks secured and student number +* ------------------------------------------------------------------------------- */ + +int32_t main() +{ + +#ifndef USE_STATIC_INIT + + arm_matrix_instance_f32 srcA; + arm_matrix_instance_f32 srcB; + arm_matrix_instance_f32 dstC; + + /* Input and output matrices initializations */ + arm_mat_init_f32(&srcA, numStudents, numSubjects, (float32_t *)testMarks_f32); + arm_mat_init_f32(&srcB, numSubjects, 1, (float32_t *)testUnity_f32); + arm_mat_init_f32(&dstC, numStudents, 1, testOutput); + +#else + + /* Static Initializations of Input and output matrix sizes and array */ + arm_matrix_instance_f32 srcA = {NUMSTUDENTS, NUMSUBJECTS, (float32_t *)testMarks_f32}; + arm_matrix_instance_f32 srcB = {NUMSUBJECTS, 1, (float32_t *)testUnity_f32}; + arm_matrix_instance_f32 dstC = {NUMSTUDENTS, 1, testOutput}; + +#endif + + + /* ---------------------------------------------------------------------- + *Call the Matrix multiplication process function + * ------------------------------------------------------------------- */ + arm_mat_mult_f32(&srcA, &srcB, &dstC); + + /* ---------------------------------------------------------------------- + ** Call the Max function to calculate max marks among numStudents + ** ------------------------------------------------------------------- */ + arm_max_f32(testOutput, numStudents, &max_marks, &student_num); + + /* ---------------------------------------------------------------------- + ** Call the Min function to calculate min marks among numStudents + ** ------------------------------------------------------------------- */ + arm_min_f32(testOutput, numStudents, &min_marks, &student_num); + + /* ---------------------------------------------------------------------- + ** Call the Mean function to calculate mean + ** ------------------------------------------------------------------- */ + arm_mean_f32(testOutput, numStudents, &mean); + + /* ---------------------------------------------------------------------- + ** Call the std function to calculate standard deviation + ** ------------------------------------------------------------------- */ + arm_std_f32(testOutput, numStudents, &std); + + /* ---------------------------------------------------------------------- + ** Call the var function to calculate variance + ** ------------------------------------------------------------------- */ + arm_var_f32(testOutput, numStudents, &var); + + while(1); /* main function does not return */ +} diff --git a/DSP_Lib/Examples/arm_class_marks_example/GCC/Abstract.txt b/DSP_Lib/Examples/arm_class_marks_example/GCC/Abstract.txt new file mode 100644 index 0000000..14dae71 --- /dev/null +++ b/DSP_Lib/Examples/arm_class_marks_example/GCC/Abstract.txt @@ -0,0 +1,4 @@ +CMSIS DSP_Lib example arm_class_marks_example for + Cortex-M0, Cortex-M3 and Cortex-M4 with FPU + +The example is configured for uVision Simulator diff --git a/DSP_Lib/Examples/arm_class_marks_example/GCC/arm_class_marks_example_f32.c b/DSP_Lib/Examples/arm_class_marks_example/GCC/arm_class_marks_example_f32.c new file mode 100644 index 0000000..d140e26 --- /dev/null +++ b/DSP_Lib/Examples/arm_class_marks_example/GCC/arm_class_marks_example_f32.c @@ -0,0 +1,211 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_class_marks_example_f32.c +* +* Description: Example code to calculate Minimum, Maximum +* Mean, std and variance of marks obtained in a class +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + +/** + * @ingroup groupExamples + */ + +/** + * @defgroup ClassMarks Class Marks Example + * + * \par Description: + * \par + * Demonstrates the use the Maximum, Minimum, Mean, Standard Deviation, Variance + * and Matrix functions to calculate statistical values of marks obtained in a class. + * + * \note This example also demonstrates the usage of static initialization. + * + * \par Variables Description: + * \par + * \li \c testMarks_f32 points to the marks scored by 20 students in 4 subjects + * \li \c max_marks Maximum of all marks + * \li \c min_marks Minimum of all marks + * \li \c mean Mean of all marks + * \li \c var Variance of the marks + * \li \c std Standard deviation of the marks + * \li \c numStudents Total number of students in the class + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_mat_init_f32() + * - arm_mat_mult_f32() + * - arm_max_f32() + * - arm_min_f32() + * - arm_mean_f32() + * - arm_std_f32() + * - arm_var_f32() + * + * <b> Refer </b> + * \link arm_class_marks_example_f32.c \endlink + * + */ + + +/** \example arm_class_marks_example_f32.c + */ +#include "arm_math.h" + +#define USE_STATIC_INIT + + /* ---------------------------------------------------------------------- +** Global defines +** ------------------------------------------------------------------- */ + +#define TEST_LENGTH_SAMPLES (20*4) + +/* ---------------------------------------------------------------------- +** List of Marks scored by 20 students for 4 subjects +** ------------------------------------------------------------------- */ +const float32_t testMarks_f32[TEST_LENGTH_SAMPLES] = +{ + 42.000000, 37.000000, 81.000000, 28.000000, + 83.000000, 72.000000, 36.000000, 38.000000, + 32.000000, 51.000000, 63.000000, 64.000000, + 97.000000, 82.000000, 95.000000, 90.000000, + 66.000000, 51.000000, 54.000000, 42.000000, + 67.000000, 56.000000, 45.000000, 57.000000, + 67.000000, 69.000000, 35.000000, 52.000000, + 29.000000, 81.000000, 58.000000, 47.000000, + 38.000000, 76.000000, 100.000000, 29.000000, + 33.000000, 47.000000, 29.000000, 50.000000, + 34.000000, 41.000000, 61.000000, 46.000000, + 52.000000, 50.000000, 48.000000, 36.000000, + 47.000000, 55.000000, 44.000000, 40.000000, + 100.000000, 94.000000, 84.000000, 37.000000, + 32.000000, 71.000000, 47.000000, 77.000000, + 31.000000, 50.000000, 49.000000, 35.000000, + 63.000000, 67.000000, 40.000000, 31.000000, + 29.000000, 68.000000, 61.000000, 38.000000, + 31.000000, 28.000000, 28.000000, 76.000000, + 55.000000, 33.000000, 29.000000, 39.000000 +}; + + +/* ---------------------------------------------------------------------- +* Number of subjects X 1 +* ------------------------------------------------------------------- */ +const float32_t testUnity_f32[4] = +{ + 1.000, 1.000, 1.000, 1.000 +}; + + +/* ---------------------------------------------------------------------- +** f32 Output buffer +** ------------------------------------------------------------------- */ +static float32_t testOutput[TEST_LENGTH_SAMPLES]; + + +/* ------------------------------------------------------------------ +* Global defines +*------------------------------------------------------------------- */ +#define NUMSTUDENTS 20 +#define NUMSUBJECTS 4 + +/* ------------------------------------------------------------------ +* Global variables +*------------------------------------------------------------------- */ + + uint32_t numStudents = 20; + uint32_t numSubjects = 4; +float32_t max_marks, min_marks, mean, std, var; + uint32_t student_num; + +/* ---------------------------------------------------------------------------------- +* Main f32 test function. It returns maximum marks secured and student number +* ------------------------------------------------------------------------------- */ + +int32_t main() +{ + +#ifndef USE_STATIC_INIT + + arm_matrix_instance_f32 srcA; + arm_matrix_instance_f32 srcB; + arm_matrix_instance_f32 dstC; + + /* Input and output matrices initializations */ + arm_mat_init_f32(&srcA, numStudents, numSubjects, (float32_t *)testMarks_f32); + arm_mat_init_f32(&srcB, numSubjects, 1, (float32_t *)testUnity_f32); + arm_mat_init_f32(&dstC, numStudents, 1, testOutput); + +#else + + /* Static Initializations of Input and output matrix sizes and array */ + arm_matrix_instance_f32 srcA = {NUMSTUDENTS, NUMSUBJECTS, (float32_t *)testMarks_f32}; + arm_matrix_instance_f32 srcB = {NUMSUBJECTS, 1, (float32_t *)testUnity_f32}; + arm_matrix_instance_f32 dstC = {NUMSTUDENTS, 1, testOutput}; + +#endif + + + /* ---------------------------------------------------------------------- + *Call the Matrix multiplication process function + * ------------------------------------------------------------------- */ + arm_mat_mult_f32(&srcA, &srcB, &dstC); + + /* ---------------------------------------------------------------------- + ** Call the Max function to calculate max marks among numStudents + ** ------------------------------------------------------------------- */ + arm_max_f32(testOutput, numStudents, &max_marks, &student_num); + + /* ---------------------------------------------------------------------- + ** Call the Min function to calculate min marks among numStudents + ** ------------------------------------------------------------------- */ + arm_min_f32(testOutput, numStudents, &min_marks, &student_num); + + /* ---------------------------------------------------------------------- + ** Call the Mean function to calculate mean + ** ------------------------------------------------------------------- */ + arm_mean_f32(testOutput, numStudents, &mean); + + /* ---------------------------------------------------------------------- + ** Call the std function to calculate standard deviation + ** ------------------------------------------------------------------- */ + arm_std_f32(testOutput, numStudents, &std); + + /* ---------------------------------------------------------------------- + ** Call the var function to calculate variance + ** ------------------------------------------------------------------- */ + arm_var_f32(testOutput, numStudents, &var); + + while(1); /* main function does not return */ +} diff --git a/DSP_Lib/Examples/arm_convolution_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_convolution_example/ARM/Abstract.txt new file mode 100644 index 0000000..42dce12 --- /dev/null +++ b/DSP_Lib/Examples/arm_convolution_example/ARM/Abstract.txt @@ -0,0 +1,4 @@ +CMSIS DSP_Lib example arm_convolution_example for + Cortex-M0, Cortex-M3 and Cortex-M4 with FPU + +The example is configured for uVision Simulator diff --git a/DSP_Lib/Examples/arm_convolution_example/ARM/arm_convolution_example_f32.c b/DSP_Lib/Examples/arm_convolution_example/ARM/arm_convolution_example_f32.c new file mode 100644 index 0000000..00b0213 --- /dev/null +++ b/DSP_Lib/Examples/arm_convolution_example/ARM/arm_convolution_example_f32.c @@ -0,0 +1,247 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_convolution_example_f32.c +* +* Description: Example code demonstrating Convolution of two input signals using fft. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + +/** + * @ingroup groupExamples + */ + +/** + * @defgroup ConvolutionExample Convolution Example + * + * \par Description: + * \par + * Demonstrates the convolution theorem with the use of the Complex FFT, Complex-by-Complex + * Multiplication, and Support Functions. + * + * \par Algorithm: + * \par + * The convolution theorem states that convolution in the time domain corresponds to + * multiplication in the frequency domain. Therefore, the Fourier transform of the convoution of + * two signals is equal to the product of their individual Fourier transforms. + * The Fourier transform of a signal can be evaluated efficiently using the Fast Fourier Transform (FFT). + * \par + * Two input signals, <code>a[n]</code> and <code>b[n]</code>, with lengths \c n1 and \c n2 respectively, + * are zero padded so that their lengths become \c N, which is greater than or equal to <code>(n1+n2-1)</code> + * and is a power of 4 as FFT implementation is radix-4. + * The convolution of <code>a[n]</code> and <code>b[n]</code> is obtained by taking the FFT of the input + * signals, multiplying the Fourier transforms of the two signals, and taking the inverse FFT of + * the multiplied result. + * \par + * This is denoted by the following equations: + * <pre> A[k] = FFT(a[n],N) + * B[k] = FFT(b[n],N) + * conv(a[n], b[n]) = IFFT(A[k] * B[k], N)</pre> + * where <code>A[k]</code> and <code>B[k]</code> are the N-point FFTs of the signals <code>a[n]</code> + * and <code>b[n]</code> respectively. + * The length of the convolved signal is <code>(n1+n2-1)</code>. + * + * \par Block Diagram: + * \par + * \image html Convolution.gif + * + * \par Variables Description: + * \par + * \li \c testInputA_f32 points to the first input sequence + * \li \c srcALen length of the first input sequence + * \li \c testInputB_f32 points to the second input sequence + * \li \c srcBLen length of the second input sequence + * \li \c outLen length of convolution output sequence, <code>(srcALen + srcBLen - 1)</code> + * \li \c AxB points to the output array where the product of individual FFTs of inputs is stored. + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_fill_f32() + * - arm_copy_f32() + * - arm_cfft_radix4_init_f32() + * - arm_cfft_radix4_f32() + * - arm_cmplx_mult_cmplx_f32() + * + * <b> Refer </b> + * \link arm_convolution_example_f32.c \endlink + * + */ + + +/** \example arm_convolution_example_f32.c + */ + +#include "arm_math.h" +#include "math_helper.h" + +/* ---------------------------------------------------------------------- +* Defines each of the tests performed +* ------------------------------------------------------------------- */ +#define MAX_BLOCKSIZE 128 +#define DELTA (0.000001f) +#define SNR_THRESHOLD 90 + +/* ---------------------------------------------------------------------- +* Declare I/O buffers +* ------------------------------------------------------------------- */ +float32_t Ak[MAX_BLOCKSIZE]; /* Input A */ +float32_t Bk[MAX_BLOCKSIZE]; /* Input B */ +float32_t AxB[MAX_BLOCKSIZE * 2]; /* Output */ + +/* ---------------------------------------------------------------------- +* Test input data for Floating point Convolution example for 32-blockSize +* Generated by the MATLAB randn() function +* ------------------------------------------------------------------- */ +float32_t testInputA_f32[64] = +{ + -0.808920, 1.357369, 1.180861, -0.504544, 1.762637, -0.703285, + 1.696966, 0.620571, -0.151093, -0.100235, -0.872382, -0.403579, + -0.860749, -0.382648, -1.052338, 0.128113, -0.646269, 1.093377, + -2.209198, 0.471706, 0.408901, 1.266242, 0.598252, 1.176827, + -0.203421, 0.213596, -0.851964, -0.466958, 0.021841, -0.698938, + -0.604107, 0.461778, -0.318219, 0.942520, 0.577585, 0.417619, + 0.614665, 0.563679, -1.295073, -0.764437, 0.952194, -0.859222, + -0.618554, -2.268542, -1.210592, 1.655853, -2.627219, -0.994249, + -1.374704, 0.343799, 0.025619, 1.227481, -0.708031, 0.069355, + -1.845228, -1.570886, 1.010668, -1.802084, 1.630088, 1.286090, + -0.161050, -0.940794, 0.367961, 0.291907 + +}; + +float32_t testInputB_f32[64] = +{ + 0.933724, 0.046881, 1.316470, 0.438345, 0.332682, 2.094885, + 0.512081, 0.035546, 0.050894, -2.320371, 0.168711, -1.830493, + -0.444834, -1.003242, -0.531494, -1.365600, -0.155420, -0.757692, + -0.431880, -0.380021, 0.096243, -0.695835, 0.558850, -1.648962, + 0.020369, -0.363630, 0.887146, 0.845503, -0.252864, -0.330397, + 1.269131, -1.109295, -1.027876, 0.135940, 0.116721, -0.293399, + -1.349799, 0.166078, -0.802201, 0.369367, -0.964568, -2.266011, + 0.465178, 0.651222, -0.325426, 0.320245, -0.784178, -0.579456, + 0.093374, 0.604778, -0.048225, 0.376297, -0.394412, 0.578182, + -1.218141, -1.387326, 0.692462, -0.631297, 0.153137, -0.638952, + 0.635474, -0.970468, 1.334057, -0.111370 +}; + +const float testRefOutput_f32[127] = +{ + -0.818943, 1.229484, -0.533664, 1.016604, 0.341875, -1.963656, + 5.171476, 3.478033, 7.616361, 6.648384, 0.479069, 1.792012, + -1.295591, -7.447818, 0.315830, -10.657445, -2.483469, -6.524236, + -7.380591, -3.739005, -8.388957, 0.184147, -1.554888, 3.786508, + -1.684421, 5.400610, -1.578126, 7.403361, 8.315999, 2.080267, + 11.077776, 2.749673, 7.138962, 2.748762, 0.660363, 0.981552, + 1.442275, 0.552721, -2.576892, 4.703989, 0.989156, 8.759344, + -0.564825, -3.994680, 0.954710, -5.014144, 6.592329, 1.599488, + -13.979146, -0.391891, -4.453369, -2.311242, -2.948764, 1.761415, + -0.138322, 10.433007, -2.309103, 4.297153, 8.535523, 3.209462, + 8.695819, 5.569919, 2.514304, 5.582029, 2.060199, 0.642280, + 7.024616, 1.686615, -6.481756, 1.343084, -3.526451, 1.099073, + -2.965764, -0.173723, -4.111484, 6.528384, -6.965658, 1.726291, + 1.535172, 11.023435, 2.338401, -4.690188, 1.298210, 3.943885, + 8.407885, 5.168365, 0.684131, 1.559181, 1.859998, 2.852417, + 8.574070, -6.369078, 6.023458, 11.837963, -6.027632, 4.469678, + -6.799093, -2.674048, 6.250367, -6.809971, -3.459360, 9.112410, + -2.711621, -1.336678, 1.564249, -1.564297, -1.296760, 8.904013, + -3.230109, 6.878013, -7.819823, 3.369909, -1.657410, -2.007358, + -4.112825, 1.370685, -3.420525, -6.276605, 3.244873, -3.352638, + 1.545372, 0.902211, 0.197489, -1.408732, 0.523390, 0.348440, 0 +}; + + +/* ---------------------------------------------------------------------- +* Declare Global variables +* ------------------------------------------------------------------- */ +uint32_t srcALen = 64; /* Length of Input A */ +uint32_t srcBLen = 64; /* Length of Input B */ +uint32_t outLen; /* Length of convolution output */ +float32_t snr; /* output SNR */ + +int32_t main(void) +{ + arm_status status; /* Status of the example */ + arm_cfft_radix4_instance_f32 cfft_instance; /* CFFT Structure instance */ + + /* CFFT Structure instance pointer */ + arm_cfft_radix4_instance_f32 *cfft_instance_ptr = + (arm_cfft_radix4_instance_f32*) &cfft_instance; + + /* output length of convolution */ + outLen = srcALen + srcBLen - 1; + + /* Initialise the fft input buffers with all zeros */ + arm_fill_f32(0.0, Ak, MAX_BLOCKSIZE); + arm_fill_f32(0.0, Bk, MAX_BLOCKSIZE); + + /* Copy the input values to the fft input buffers */ + arm_copy_f32(testInputA_f32, Ak, MAX_BLOCKSIZE/2); + arm_copy_f32(testInputB_f32, Bk, MAX_BLOCKSIZE/2); + + /* Initialize the CFFT function to compute 64 point fft */ + status = arm_cfft_radix4_init_f32(cfft_instance_ptr, 64, 0, 1); + + /* Transform input a[n] from time domain to frequency domain A[k] */ + arm_cfft_radix4_f32(cfft_instance_ptr, Ak); + /* Transform input b[n] from time domain to frequency domain B[k] */ + arm_cfft_radix4_f32(cfft_instance_ptr, Bk); + + /* Complex Multiplication of the two input buffers in frequency domain */ + arm_cmplx_mult_cmplx_f32(Ak, Bk, AxB, MAX_BLOCKSIZE/2); + + /* Initialize the CIFFT function to compute 64 point ifft */ + status = arm_cfft_radix4_init_f32(cfft_instance_ptr, 64, 1, 1); + + /* Transform the multiplication output from frequency domain to time domain, + that gives the convolved output */ + arm_cfft_radix4_f32(cfft_instance_ptr, AxB); + + /* SNR Calculation */ + snr = arm_snr_f32((float32_t *)testRefOutput_f32, AxB, srcALen + srcBLen - 1); + + /* Compare the SNR with threshold to test whether the + computed output is matched with the reference output values. */ + if( snr > SNR_THRESHOLD) + { + status = ARM_MATH_SUCCESS; + } + + if( status != ARM_MATH_SUCCESS) + { + while(1); + } + + while(1); /* main function does not return */ +} + + /** \endlink */ diff --git a/DSP_Lib/Examples/arm_convolution_example/ARM/math_helper.c b/DSP_Lib/Examples/arm_convolution_example/ARM/math_helper.c new file mode 100644 index 0000000..dbf2cfe --- /dev/null +++ b/DSP_Lib/Examples/arm_convolution_example/ARM/math_helper.c @@ -0,0 +1,458 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* +* Title: math_helper.c +* +* Description: Definition of all helper functions required. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + +/* ---------------------------------------------------------------------- +* Include standard header files +* -------------------------------------------------------------------- */ +#include<math.h> + +/* ---------------------------------------------------------------------- +* Include project header files +* -------------------------------------------------------------------- */ +#include "math_helper.h" + +/** + * @brief Caluclation of SNR + * @param float* Pointer to the reference buffer + * @param float* Pointer to the test buffer + * @param uint32_t total number of samples + * @return float SNR + * The function Caluclates signal to noise ratio for the reference output + * and test output + */ + +float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize) +{ + float EnergySignal = 0.0, EnergyError = 0.0; + uint32_t i; + float SNR; + int temp; + int *test; + + for (i = 0; i < buffSize; i++) + { + /* Checking for a NAN value in pRef array */ + test = (int *)(&pRef[i]); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + + /* Checking for a NAN value in pTest array */ + test = (int *)(&pTest[i]); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + EnergySignal += pRef[i] * pRef[i]; + EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]); + } + + /* Checking for a NAN value in EnergyError */ + test = (int *)(&EnergyError); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + + + SNR = 10 * log10 (EnergySignal / EnergyError); + + return (SNR); + +} + + +/** + * @brief Provide guard bits for Input buffer + * @param q15_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + +/** + * @brief Converts float to fixed in q12.20 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point(q12.20) values + */ + +void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1048576.0f corresponds to pow(2, 20) */ + pOut[i] = (q31_t) (pIn[i] * 1048576.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 1.0) + { + pOut[i] = 0x000FFFFF; + } + } +} + +/** + * @brief Compare MATLAB Reference Output and ARM Test output + * @param q15_t* Pointer to Ref buffer + * @param q15_t* Pointer to Test buffer + * @param uint32_t number of samples in the buffer + * @return none + */ + +uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples) +{ + uint32_t i; + int32_t diff, diffCrnt = 0; + uint32_t maxDiff = 0; + + for (i = 0; i < numSamples; i++) + { + diff = pIn[i] - pOut[i]; + diffCrnt = (diff > 0) ? diff : -diff; + + if(diffCrnt > maxDiff) + { + maxDiff = diffCrnt; + } + } + + return(maxDiff); +} + +/** + * @brief Compare MATLAB Reference Output and ARM Test output + * @param q31_t* Pointer to Ref buffer + * @param q31_t* Pointer to Test buffer + * @param uint32_t number of samples in the buffer + * @return none + */ + +uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples) +{ + uint32_t i; + int32_t diff, diffCrnt = 0; + uint32_t maxDiff = 0; + + for (i = 0; i < numSamples; i++) + { + diff = pIn[i] - pOut[i]; + diffCrnt = (diff > 0) ? diff : -diff; + + if(diffCrnt > maxDiff) + { + maxDiff = diffCrnt; + } + } + + return(maxDiff); +} + +/** + * @brief Provide guard bits for Input buffer + * @param q31_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q31 (q31_t * input_buf, + uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + +/** + * @brief Provide guard bits for Input buffer + * @param q31_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q7 (q7_t * input_buf, + uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + + + +/** + * @brief Caluclates number of guard bits + * @param uint32_t number of additions + * @return none + * The function Caluclates the number of guard bits + * depending on the numtaps + */ + +uint32_t arm_calc_guard_bits (uint32_t num_adds) +{ + uint32_t i = 1, j = 0; + + if (num_adds == 1) + { + return (0); + } + + while (i < num_adds) + { + i = i * 2; + j++; + } + + return (j); +} + +/** + * @brief Converts Q15 to floating-point + * @param uint32_t number of samples in the buffer + * @return none + */ + +void arm_apply_guard_bits (float32_t * pIn, + uint32_t numSamples, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + pIn[i] = pIn[i] * arm_calc_2pow(guard_bits); + } +} + +/** + * @brief Calculates pow(2, numShifts) + * @param uint32_t number of shifts + * @return pow(2, numShifts) + */ +uint32_t arm_calc_2pow(uint32_t numShifts) +{ + + uint32_t i, val = 1; + + for (i = 0; i < numShifts; i++) + { + val = val * 2; + } + + return(val); +} + + + +/** + * @brief Converts float to fixed q14 + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q14 (float *pIn, q15_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 16384.0f corresponds to pow(2, 14) */ + pOut[i] = (q15_t) (pIn[i] * 16384.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 2.0) + { + pOut[i] = 0x7FFF; + } + + } + +} + + +/** + * @brief Converts float to fixed q30 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q30 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1073741824.0f corresponds to pow(2, 30) */ + pOut[i] = (q31_t) (pIn[i] * 1073741824.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 2.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + +/** + * @brief Converts float to fixed q30 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q29 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1073741824.0f corresponds to pow(2, 30) */ + pOut[i] = (q31_t) (pIn[i] * 536870912.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 4.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + + +/** + * @brief Converts float to fixed q28 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q28 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 268435456.0f corresponds to pow(2, 28) */ + pOut[i] = (q31_t) (pIn[i] * 268435456.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 8.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + +/** + * @brief Clip the float values to +/- 1 + * @param pIn input buffer + * @param numSamples number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_clip_f32 (float *pIn, uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + if(pIn[i] > 1.0f) + { + pIn[i] = 1.0; + } + else if( pIn[i] < -1.0f) + { + pIn[i] = -1.0; + } + + } +} + + + + diff --git a/DSP_Lib/Examples/arm_convolution_example/ARM/math_helper.h b/DSP_Lib/Examples/arm_convolution_example/ARM/math_helper.h new file mode 100644 index 0000000..46b0af3 --- /dev/null +++ b/DSP_Lib/Examples/arm_convolution_example/ARM/math_helper.h @@ -0,0 +1,63 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2013 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* +* Title: math_helper.h +* +* Description: Prototypes of all helper functions required. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + + +#include "arm_math.h" + +#ifndef MATH_HELPER_H +#define MATH_HELPER_H + +float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize); +void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples); +void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits); +void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits); +void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples); +void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_clip_f32(float *pIn, uint32_t numSamples); +uint32_t arm_calc_guard_bits(uint32_t num_adds); +void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits); +uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples); +uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples); +uint32_t arm_calc_2pow(uint32_t guard_bits); +#endif + diff --git a/DSP_Lib/Examples/arm_convolution_example/GCC/Abstract.txt b/DSP_Lib/Examples/arm_convolution_example/GCC/Abstract.txt new file mode 100644 index 0000000..42dce12 --- /dev/null +++ b/DSP_Lib/Examples/arm_convolution_example/GCC/Abstract.txt @@ -0,0 +1,4 @@ +CMSIS DSP_Lib example arm_convolution_example for + Cortex-M0, Cortex-M3 and Cortex-M4 with FPU + +The example is configured for uVision Simulator diff --git a/DSP_Lib/Examples/arm_convolution_example/GCC/arm_convolution_example_f32.c b/DSP_Lib/Examples/arm_convolution_example/GCC/arm_convolution_example_f32.c new file mode 100644 index 0000000..00b0213 --- /dev/null +++ b/DSP_Lib/Examples/arm_convolution_example/GCC/arm_convolution_example_f32.c @@ -0,0 +1,247 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_convolution_example_f32.c +* +* Description: Example code demonstrating Convolution of two input signals using fft. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + +/** + * @ingroup groupExamples + */ + +/** + * @defgroup ConvolutionExample Convolution Example + * + * \par Description: + * \par + * Demonstrates the convolution theorem with the use of the Complex FFT, Complex-by-Complex + * Multiplication, and Support Functions. + * + * \par Algorithm: + * \par + * The convolution theorem states that convolution in the time domain corresponds to + * multiplication in the frequency domain. Therefore, the Fourier transform of the convoution of + * two signals is equal to the product of their individual Fourier transforms. + * The Fourier transform of a signal can be evaluated efficiently using the Fast Fourier Transform (FFT). + * \par + * Two input signals, <code>a[n]</code> and <code>b[n]</code>, with lengths \c n1 and \c n2 respectively, + * are zero padded so that their lengths become \c N, which is greater than or equal to <code>(n1+n2-1)</code> + * and is a power of 4 as FFT implementation is radix-4. + * The convolution of <code>a[n]</code> and <code>b[n]</code> is obtained by taking the FFT of the input + * signals, multiplying the Fourier transforms of the two signals, and taking the inverse FFT of + * the multiplied result. + * \par + * This is denoted by the following equations: + * <pre> A[k] = FFT(a[n],N) + * B[k] = FFT(b[n],N) + * conv(a[n], b[n]) = IFFT(A[k] * B[k], N)</pre> + * where <code>A[k]</code> and <code>B[k]</code> are the N-point FFTs of the signals <code>a[n]</code> + * and <code>b[n]</code> respectively. + * The length of the convolved signal is <code>(n1+n2-1)</code>. + * + * \par Block Diagram: + * \par + * \image html Convolution.gif + * + * \par Variables Description: + * \par + * \li \c testInputA_f32 points to the first input sequence + * \li \c srcALen length of the first input sequence + * \li \c testInputB_f32 points to the second input sequence + * \li \c srcBLen length of the second input sequence + * \li \c outLen length of convolution output sequence, <code>(srcALen + srcBLen - 1)</code> + * \li \c AxB points to the output array where the product of individual FFTs of inputs is stored. + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_fill_f32() + * - arm_copy_f32() + * - arm_cfft_radix4_init_f32() + * - arm_cfft_radix4_f32() + * - arm_cmplx_mult_cmplx_f32() + * + * <b> Refer </b> + * \link arm_convolution_example_f32.c \endlink + * + */ + + +/** \example arm_convolution_example_f32.c + */ + +#include "arm_math.h" +#include "math_helper.h" + +/* ---------------------------------------------------------------------- +* Defines each of the tests performed +* ------------------------------------------------------------------- */ +#define MAX_BLOCKSIZE 128 +#define DELTA (0.000001f) +#define SNR_THRESHOLD 90 + +/* ---------------------------------------------------------------------- +* Declare I/O buffers +* ------------------------------------------------------------------- */ +float32_t Ak[MAX_BLOCKSIZE]; /* Input A */ +float32_t Bk[MAX_BLOCKSIZE]; /* Input B */ +float32_t AxB[MAX_BLOCKSIZE * 2]; /* Output */ + +/* ---------------------------------------------------------------------- +* Test input data for Floating point Convolution example for 32-blockSize +* Generated by the MATLAB randn() function +* ------------------------------------------------------------------- */ +float32_t testInputA_f32[64] = +{ + -0.808920, 1.357369, 1.180861, -0.504544, 1.762637, -0.703285, + 1.696966, 0.620571, -0.151093, -0.100235, -0.872382, -0.403579, + -0.860749, -0.382648, -1.052338, 0.128113, -0.646269, 1.093377, + -2.209198, 0.471706, 0.408901, 1.266242, 0.598252, 1.176827, + -0.203421, 0.213596, -0.851964, -0.466958, 0.021841, -0.698938, + -0.604107, 0.461778, -0.318219, 0.942520, 0.577585, 0.417619, + 0.614665, 0.563679, -1.295073, -0.764437, 0.952194, -0.859222, + -0.618554, -2.268542, -1.210592, 1.655853, -2.627219, -0.994249, + -1.374704, 0.343799, 0.025619, 1.227481, -0.708031, 0.069355, + -1.845228, -1.570886, 1.010668, -1.802084, 1.630088, 1.286090, + -0.161050, -0.940794, 0.367961, 0.291907 + +}; + +float32_t testInputB_f32[64] = +{ + 0.933724, 0.046881, 1.316470, 0.438345, 0.332682, 2.094885, + 0.512081, 0.035546, 0.050894, -2.320371, 0.168711, -1.830493, + -0.444834, -1.003242, -0.531494, -1.365600, -0.155420, -0.757692, + -0.431880, -0.380021, 0.096243, -0.695835, 0.558850, -1.648962, + 0.020369, -0.363630, 0.887146, 0.845503, -0.252864, -0.330397, + 1.269131, -1.109295, -1.027876, 0.135940, 0.116721, -0.293399, + -1.349799, 0.166078, -0.802201, 0.369367, -0.964568, -2.266011, + 0.465178, 0.651222, -0.325426, 0.320245, -0.784178, -0.579456, + 0.093374, 0.604778, -0.048225, 0.376297, -0.394412, 0.578182, + -1.218141, -1.387326, 0.692462, -0.631297, 0.153137, -0.638952, + 0.635474, -0.970468, 1.334057, -0.111370 +}; + +const float testRefOutput_f32[127] = +{ + -0.818943, 1.229484, -0.533664, 1.016604, 0.341875, -1.963656, + 5.171476, 3.478033, 7.616361, 6.648384, 0.479069, 1.792012, + -1.295591, -7.447818, 0.315830, -10.657445, -2.483469, -6.524236, + -7.380591, -3.739005, -8.388957, 0.184147, -1.554888, 3.786508, + -1.684421, 5.400610, -1.578126, 7.403361, 8.315999, 2.080267, + 11.077776, 2.749673, 7.138962, 2.748762, 0.660363, 0.981552, + 1.442275, 0.552721, -2.576892, 4.703989, 0.989156, 8.759344, + -0.564825, -3.994680, 0.954710, -5.014144, 6.592329, 1.599488, + -13.979146, -0.391891, -4.453369, -2.311242, -2.948764, 1.761415, + -0.138322, 10.433007, -2.309103, 4.297153, 8.535523, 3.209462, + 8.695819, 5.569919, 2.514304, 5.582029, 2.060199, 0.642280, + 7.024616, 1.686615, -6.481756, 1.343084, -3.526451, 1.099073, + -2.965764, -0.173723, -4.111484, 6.528384, -6.965658, 1.726291, + 1.535172, 11.023435, 2.338401, -4.690188, 1.298210, 3.943885, + 8.407885, 5.168365, 0.684131, 1.559181, 1.859998, 2.852417, + 8.574070, -6.369078, 6.023458, 11.837963, -6.027632, 4.469678, + -6.799093, -2.674048, 6.250367, -6.809971, -3.459360, 9.112410, + -2.711621, -1.336678, 1.564249, -1.564297, -1.296760, 8.904013, + -3.230109, 6.878013, -7.819823, 3.369909, -1.657410, -2.007358, + -4.112825, 1.370685, -3.420525, -6.276605, 3.244873, -3.352638, + 1.545372, 0.902211, 0.197489, -1.408732, 0.523390, 0.348440, 0 +}; + + +/* ---------------------------------------------------------------------- +* Declare Global variables +* ------------------------------------------------------------------- */ +uint32_t srcALen = 64; /* Length of Input A */ +uint32_t srcBLen = 64; /* Length of Input B */ +uint32_t outLen; /* Length of convolution output */ +float32_t snr; /* output SNR */ + +int32_t main(void) +{ + arm_status status; /* Status of the example */ + arm_cfft_radix4_instance_f32 cfft_instance; /* CFFT Structure instance */ + + /* CFFT Structure instance pointer */ + arm_cfft_radix4_instance_f32 *cfft_instance_ptr = + (arm_cfft_radix4_instance_f32*) &cfft_instance; + + /* output length of convolution */ + outLen = srcALen + srcBLen - 1; + + /* Initialise the fft input buffers with all zeros */ + arm_fill_f32(0.0, Ak, MAX_BLOCKSIZE); + arm_fill_f32(0.0, Bk, MAX_BLOCKSIZE); + + /* Copy the input values to the fft input buffers */ + arm_copy_f32(testInputA_f32, Ak, MAX_BLOCKSIZE/2); + arm_copy_f32(testInputB_f32, Bk, MAX_BLOCKSIZE/2); + + /* Initialize the CFFT function to compute 64 point fft */ + status = arm_cfft_radix4_init_f32(cfft_instance_ptr, 64, 0, 1); + + /* Transform input a[n] from time domain to frequency domain A[k] */ + arm_cfft_radix4_f32(cfft_instance_ptr, Ak); + /* Transform input b[n] from time domain to frequency domain B[k] */ + arm_cfft_radix4_f32(cfft_instance_ptr, Bk); + + /* Complex Multiplication of the two input buffers in frequency domain */ + arm_cmplx_mult_cmplx_f32(Ak, Bk, AxB, MAX_BLOCKSIZE/2); + + /* Initialize the CIFFT function to compute 64 point ifft */ + status = arm_cfft_radix4_init_f32(cfft_instance_ptr, 64, 1, 1); + + /* Transform the multiplication output from frequency domain to time domain, + that gives the convolved output */ + arm_cfft_radix4_f32(cfft_instance_ptr, AxB); + + /* SNR Calculation */ + snr = arm_snr_f32((float32_t *)testRefOutput_f32, AxB, srcALen + srcBLen - 1); + + /* Compare the SNR with threshold to test whether the + computed output is matched with the reference output values. */ + if( snr > SNR_THRESHOLD) + { + status = ARM_MATH_SUCCESS; + } + + if( status != ARM_MATH_SUCCESS) + { + while(1); + } + + while(1); /* main function does not return */ +} + + /** \endlink */ diff --git a/DSP_Lib/Examples/arm_convolution_example/GCC/math_helper.c b/DSP_Lib/Examples/arm_convolution_example/GCC/math_helper.c new file mode 100644 index 0000000..dbf2cfe --- /dev/null +++ b/DSP_Lib/Examples/arm_convolution_example/GCC/math_helper.c @@ -0,0 +1,458 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* +* Title: math_helper.c +* +* Description: Definition of all helper functions required. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + +/* ---------------------------------------------------------------------- +* Include standard header files +* -------------------------------------------------------------------- */ +#include<math.h> + +/* ---------------------------------------------------------------------- +* Include project header files +* -------------------------------------------------------------------- */ +#include "math_helper.h" + +/** + * @brief Caluclation of SNR + * @param float* Pointer to the reference buffer + * @param float* Pointer to the test buffer + * @param uint32_t total number of samples + * @return float SNR + * The function Caluclates signal to noise ratio for the reference output + * and test output + */ + +float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize) +{ + float EnergySignal = 0.0, EnergyError = 0.0; + uint32_t i; + float SNR; + int temp; + int *test; + + for (i = 0; i < buffSize; i++) + { + /* Checking for a NAN value in pRef array */ + test = (int *)(&pRef[i]); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + + /* Checking for a NAN value in pTest array */ + test = (int *)(&pTest[i]); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + EnergySignal += pRef[i] * pRef[i]; + EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]); + } + + /* Checking for a NAN value in EnergyError */ + test = (int *)(&EnergyError); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + + + SNR = 10 * log10 (EnergySignal / EnergyError); + + return (SNR); + +} + + +/** + * @brief Provide guard bits for Input buffer + * @param q15_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + +/** + * @brief Converts float to fixed in q12.20 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point(q12.20) values + */ + +void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1048576.0f corresponds to pow(2, 20) */ + pOut[i] = (q31_t) (pIn[i] * 1048576.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 1.0) + { + pOut[i] = 0x000FFFFF; + } + } +} + +/** + * @brief Compare MATLAB Reference Output and ARM Test output + * @param q15_t* Pointer to Ref buffer + * @param q15_t* Pointer to Test buffer + * @param uint32_t number of samples in the buffer + * @return none + */ + +uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples) +{ + uint32_t i; + int32_t diff, diffCrnt = 0; + uint32_t maxDiff = 0; + + for (i = 0; i < numSamples; i++) + { + diff = pIn[i] - pOut[i]; + diffCrnt = (diff > 0) ? diff : -diff; + + if(diffCrnt > maxDiff) + { + maxDiff = diffCrnt; + } + } + + return(maxDiff); +} + +/** + * @brief Compare MATLAB Reference Output and ARM Test output + * @param q31_t* Pointer to Ref buffer + * @param q31_t* Pointer to Test buffer + * @param uint32_t number of samples in the buffer + * @return none + */ + +uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples) +{ + uint32_t i; + int32_t diff, diffCrnt = 0; + uint32_t maxDiff = 0; + + for (i = 0; i < numSamples; i++) + { + diff = pIn[i] - pOut[i]; + diffCrnt = (diff > 0) ? diff : -diff; + + if(diffCrnt > maxDiff) + { + maxDiff = diffCrnt; + } + } + + return(maxDiff); +} + +/** + * @brief Provide guard bits for Input buffer + * @param q31_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q31 (q31_t * input_buf, + uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + +/** + * @brief Provide guard bits for Input buffer + * @param q31_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q7 (q7_t * input_buf, + uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + + + +/** + * @brief Caluclates number of guard bits + * @param uint32_t number of additions + * @return none + * The function Caluclates the number of guard bits + * depending on the numtaps + */ + +uint32_t arm_calc_guard_bits (uint32_t num_adds) +{ + uint32_t i = 1, j = 0; + + if (num_adds == 1) + { + return (0); + } + + while (i < num_adds) + { + i = i * 2; + j++; + } + + return (j); +} + +/** + * @brief Converts Q15 to floating-point + * @param uint32_t number of samples in the buffer + * @return none + */ + +void arm_apply_guard_bits (float32_t * pIn, + uint32_t numSamples, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + pIn[i] = pIn[i] * arm_calc_2pow(guard_bits); + } +} + +/** + * @brief Calculates pow(2, numShifts) + * @param uint32_t number of shifts + * @return pow(2, numShifts) + */ +uint32_t arm_calc_2pow(uint32_t numShifts) +{ + + uint32_t i, val = 1; + + for (i = 0; i < numShifts; i++) + { + val = val * 2; + } + + return(val); +} + + + +/** + * @brief Converts float to fixed q14 + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q14 (float *pIn, q15_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 16384.0f corresponds to pow(2, 14) */ + pOut[i] = (q15_t) (pIn[i] * 16384.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 2.0) + { + pOut[i] = 0x7FFF; + } + + } + +} + + +/** + * @brief Converts float to fixed q30 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q30 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1073741824.0f corresponds to pow(2, 30) */ + pOut[i] = (q31_t) (pIn[i] * 1073741824.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 2.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + +/** + * @brief Converts float to fixed q30 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q29 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1073741824.0f corresponds to pow(2, 30) */ + pOut[i] = (q31_t) (pIn[i] * 536870912.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 4.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + + +/** + * @brief Converts float to fixed q28 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q28 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 268435456.0f corresponds to pow(2, 28) */ + pOut[i] = (q31_t) (pIn[i] * 268435456.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 8.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + +/** + * @brief Clip the float values to +/- 1 + * @param pIn input buffer + * @param numSamples number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_clip_f32 (float *pIn, uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + if(pIn[i] > 1.0f) + { + pIn[i] = 1.0; + } + else if( pIn[i] < -1.0f) + { + pIn[i] = -1.0; + } + + } +} + + + + diff --git a/DSP_Lib/Examples/arm_convolution_example/GCC/math_helper.h b/DSP_Lib/Examples/arm_convolution_example/GCC/math_helper.h new file mode 100644 index 0000000..46b0af3 --- /dev/null +++ b/DSP_Lib/Examples/arm_convolution_example/GCC/math_helper.h @@ -0,0 +1,63 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2013 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* +* Title: math_helper.h +* +* Description: Prototypes of all helper functions required. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + + +#include "arm_math.h" + +#ifndef MATH_HELPER_H +#define MATH_HELPER_H + +float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize); +void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples); +void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits); +void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits); +void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples); +void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_clip_f32(float *pIn, uint32_t numSamples); +uint32_t arm_calc_guard_bits(uint32_t num_adds); +void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits); +uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples); +uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples); +uint32_t arm_calc_2pow(uint32_t guard_bits); +#endif + diff --git a/DSP_Lib/Examples/arm_dotproduct_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_dotproduct_example/ARM/Abstract.txt new file mode 100644 index 0000000..0c0fd5d --- /dev/null +++ b/DSP_Lib/Examples/arm_dotproduct_example/ARM/Abstract.txt @@ -0,0 +1,4 @@ +CMSIS DSP_Lib example arm_dotproduct_example for + Cortex-M0, Cortex-M3 and Cortex-M4 with FPU + +The example is configured for uVision Simulator diff --git a/DSP_Lib/Examples/arm_dotproduct_example/ARM/arm_dotproduct_example_f32.c b/DSP_Lib/Examples/arm_dotproduct_example/ARM/arm_dotproduct_example_f32.c new file mode 100644 index 0000000..4bfe357 --- /dev/null +++ b/DSP_Lib/Examples/arm_dotproduct_example/ARM/arm_dotproduct_example_f32.c @@ -0,0 +1,178 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_dotproduct_example_f32.c +* +* Description: Example code computing dot product of two vectors. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. + * -------------------------------------------------------------------- */ + +/** + * @ingroup groupExamples + */ + +/** + * @defgroup DotproductExample Dot Product Example + * + * \par Description: + * \par + * Demonstrates the use of the Multiply and Add functions to perform the dot product. + * The dot product of two vectors is obtained by multiplying corresponding elements + * and summing the products. + + * \par Algorithm: + * \par + * The two input vectors \c A and \c B with length \c n, are multiplied element-by-element + * and then added to obtain dot product. + * \par + * This is denoted by the following equation: + * <pre> dotProduct = A[0] * B[0] + A[1] * B[1] + ... + A[n-1] * B[n-1]</pre> + * + * \par Block Diagram: + * \par + * \image html dotProduct.gif + * + * \par Variables Description: + * \par + * \li \c srcA_buf_f32 points to first input vector + * \li \c srcB_buf_f32 points to second input vector + * \li \c testOutput stores dot product of the two input vectors. + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_mult_f32() + * - arm_add_f32() + * + * <b> Refer </b> + * \link arm_dotproduct_example_f32.c \endlink + * + */ + + +/** \example arm_dotproduct_example_f32.c + */ + +#include <math.h> +#include "arm_math.h" + +/* ---------------------------------------------------------------------- +* Defines each of the tests performed +* ------------------------------------------------------------------- */ +#define MAX_BLOCKSIZE 32 +#define DELTA (0.000001f) + +/* ---------------------------------------------------------------------- +* Test input data for Floating point Dot Product example for 32-blockSize +* Generated by the MATLAB randn() function +* ------------------------------------------------------------------- */ +/* ---------------------------------------------------------------------- +** Test input data of srcA for blockSize 32 +** ------------------------------------------------------------------- */ +float32_t srcA_buf_f32[MAX_BLOCKSIZE] = +{ + -0.4325648115282207, -1.6655843782380970, 0.1253323064748307, + 0.2876764203585489, -1.1464713506814637, 1.1909154656429988, + 1.1891642016521031, -0.0376332765933176, 0.3272923614086541, + 0.1746391428209245, -0.1867085776814394, 0.7257905482933027, + -0.5883165430141887, 2.1831858181971011, -0.1363958830865957, + 0.1139313135208096, 1.0667682113591888, 0.0592814605236053, + -0.0956484054836690, -0.8323494636500225, 0.2944108163926404, + -1.3361818579378040, 0.7143245518189522, 1.6235620644462707, + -0.6917757017022868, 0.8579966728282626, 1.2540014216025324, + -1.5937295764474768, -1.4409644319010200, 0.5711476236581780, + -0.3998855777153632, 0.6899973754643451 +}; + +/* ---------------------------------------------------------------------- +** Test input data of srcB for blockSize 32 +** ------------------------------------------------------------------- */ +float32_t srcB_buf_f32[MAX_BLOCKSIZE] = +{ + 1.7491401329284098, 0.1325982188803279, 0.3252281811989881, + -0.7938091410349637, 0.3149236145048914, -0.5272704888029532, + 0.9322666565031119, 1.1646643544607362, -2.0456694357357357, + -0.6443728590041911, 1.7410657940825480, 0.4867684246821860, + 1.0488288293660140, 1.4885752747099299, 1.2705014969484090, + -1.8561241921210170, 2.1343209047321410, 1.4358467535865909, + -0.9173023332875400, -1.1060770780029008, 0.8105708062681296, + 0.6985430696369063, -0.4015827425012831, 1.2687512030669628, + -0.7836083053674872, 0.2132664971465569, 0.7878984786088954, + 0.8966819356782295, -0.1869172943544062, 1.0131816724341454, + 0.2484350696132857, 0.0596083377937976 +}; + +/* Reference dot product output */ +float32_t refDotProdOut = 5.9273644806352142; + +/* ---------------------------------------------------------------------- +* Declare Global variables +* ------------------------------------------------------------------- */ +float32_t multOutput[MAX_BLOCKSIZE]; /* Intermediate output */ +float32_t testOutput; /* Final ouput */ + +arm_status status; /* Status of the example */ + +int32_t main(void) +{ + uint32_t i; /* Loop counter */ + float32_t diff; /* Difference between reference and test outputs */ + + /* Multiplication of two input buffers */ + arm_mult_f32(srcA_buf_f32, srcB_buf_f32, multOutput, MAX_BLOCKSIZE); + + /* Accumulate the multiplication output values to + get the dot product of the two inputs */ + for(i=0; i< MAX_BLOCKSIZE; i++) + { + arm_add_f32(&testOutput, &multOutput[i], &testOutput, 1); + } + + /* absolute value of difference between ref and test */ + diff = fabsf(refDotProdOut - testOutput); + + /* Comparison of dot product value with reference */ + if(diff > DELTA) + { + status = ARM_MATH_TEST_FAILURE; + } + + if( status == ARM_MATH_TEST_FAILURE) + { + while(1); + } + + while(1); /* main function does not return */ +} + + /** \endlink */ diff --git a/DSP_Lib/Examples/arm_dotproduct_example/GCC/Abstract.txt b/DSP_Lib/Examples/arm_dotproduct_example/GCC/Abstract.txt new file mode 100644 index 0000000..0c0fd5d --- /dev/null +++ b/DSP_Lib/Examples/arm_dotproduct_example/GCC/Abstract.txt @@ -0,0 +1,4 @@ +CMSIS DSP_Lib example arm_dotproduct_example for + Cortex-M0, Cortex-M3 and Cortex-M4 with FPU + +The example is configured for uVision Simulator diff --git a/DSP_Lib/Examples/arm_dotproduct_example/GCC/arm_dotproduct_example_f32.c b/DSP_Lib/Examples/arm_dotproduct_example/GCC/arm_dotproduct_example_f32.c new file mode 100644 index 0000000..4bfe357 --- /dev/null +++ b/DSP_Lib/Examples/arm_dotproduct_example/GCC/arm_dotproduct_example_f32.c @@ -0,0 +1,178 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_dotproduct_example_f32.c +* +* Description: Example code computing dot product of two vectors. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. + * -------------------------------------------------------------------- */ + +/** + * @ingroup groupExamples + */ + +/** + * @defgroup DotproductExample Dot Product Example + * + * \par Description: + * \par + * Demonstrates the use of the Multiply and Add functions to perform the dot product. + * The dot product of two vectors is obtained by multiplying corresponding elements + * and summing the products. + + * \par Algorithm: + * \par + * The two input vectors \c A and \c B with length \c n, are multiplied element-by-element + * and then added to obtain dot product. + * \par + * This is denoted by the following equation: + * <pre> dotProduct = A[0] * B[0] + A[1] * B[1] + ... + A[n-1] * B[n-1]</pre> + * + * \par Block Diagram: + * \par + * \image html dotProduct.gif + * + * \par Variables Description: + * \par + * \li \c srcA_buf_f32 points to first input vector + * \li \c srcB_buf_f32 points to second input vector + * \li \c testOutput stores dot product of the two input vectors. + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_mult_f32() + * - arm_add_f32() + * + * <b> Refer </b> + * \link arm_dotproduct_example_f32.c \endlink + * + */ + + +/** \example arm_dotproduct_example_f32.c + */ + +#include <math.h> +#include "arm_math.h" + +/* ---------------------------------------------------------------------- +* Defines each of the tests performed +* ------------------------------------------------------------------- */ +#define MAX_BLOCKSIZE 32 +#define DELTA (0.000001f) + +/* ---------------------------------------------------------------------- +* Test input data for Floating point Dot Product example for 32-blockSize +* Generated by the MATLAB randn() function +* ------------------------------------------------------------------- */ +/* ---------------------------------------------------------------------- +** Test input data of srcA for blockSize 32 +** ------------------------------------------------------------------- */ +float32_t srcA_buf_f32[MAX_BLOCKSIZE] = +{ + -0.4325648115282207, -1.6655843782380970, 0.1253323064748307, + 0.2876764203585489, -1.1464713506814637, 1.1909154656429988, + 1.1891642016521031, -0.0376332765933176, 0.3272923614086541, + 0.1746391428209245, -0.1867085776814394, 0.7257905482933027, + -0.5883165430141887, 2.1831858181971011, -0.1363958830865957, + 0.1139313135208096, 1.0667682113591888, 0.0592814605236053, + -0.0956484054836690, -0.8323494636500225, 0.2944108163926404, + -1.3361818579378040, 0.7143245518189522, 1.6235620644462707, + -0.6917757017022868, 0.8579966728282626, 1.2540014216025324, + -1.5937295764474768, -1.4409644319010200, 0.5711476236581780, + -0.3998855777153632, 0.6899973754643451 +}; + +/* ---------------------------------------------------------------------- +** Test input data of srcB for blockSize 32 +** ------------------------------------------------------------------- */ +float32_t srcB_buf_f32[MAX_BLOCKSIZE] = +{ + 1.7491401329284098, 0.1325982188803279, 0.3252281811989881, + -0.7938091410349637, 0.3149236145048914, -0.5272704888029532, + 0.9322666565031119, 1.1646643544607362, -2.0456694357357357, + -0.6443728590041911, 1.7410657940825480, 0.4867684246821860, + 1.0488288293660140, 1.4885752747099299, 1.2705014969484090, + -1.8561241921210170, 2.1343209047321410, 1.4358467535865909, + -0.9173023332875400, -1.1060770780029008, 0.8105708062681296, + 0.6985430696369063, -0.4015827425012831, 1.2687512030669628, + -0.7836083053674872, 0.2132664971465569, 0.7878984786088954, + 0.8966819356782295, -0.1869172943544062, 1.0131816724341454, + 0.2484350696132857, 0.0596083377937976 +}; + +/* Reference dot product output */ +float32_t refDotProdOut = 5.9273644806352142; + +/* ---------------------------------------------------------------------- +* Declare Global variables +* ------------------------------------------------------------------- */ +float32_t multOutput[MAX_BLOCKSIZE]; /* Intermediate output */ +float32_t testOutput; /* Final ouput */ + +arm_status status; /* Status of the example */ + +int32_t main(void) +{ + uint32_t i; /* Loop counter */ + float32_t diff; /* Difference between reference and test outputs */ + + /* Multiplication of two input buffers */ + arm_mult_f32(srcA_buf_f32, srcB_buf_f32, multOutput, MAX_BLOCKSIZE); + + /* Accumulate the multiplication output values to + get the dot product of the two inputs */ + for(i=0; i< MAX_BLOCKSIZE; i++) + { + arm_add_f32(&testOutput, &multOutput[i], &testOutput, 1); + } + + /* absolute value of difference between ref and test */ + diff = fabsf(refDotProdOut - testOutput); + + /* Comparison of dot product value with reference */ + if(diff > DELTA) + { + status = ARM_MATH_TEST_FAILURE; + } + + if( status == ARM_MATH_TEST_FAILURE) + { + while(1); + } + + while(1); /* main function does not return */ +} + + /** \endlink */ diff --git a/DSP_Lib/Examples/arm_fft_bin_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_fft_bin_example/ARM/Abstract.txt new file mode 100644 index 0000000..f6a7fba --- /dev/null +++ b/DSP_Lib/Examples/arm_fft_bin_example/ARM/Abstract.txt @@ -0,0 +1,4 @@ +CMSIS DSP_Lib example arm_fft_bin_example for + Cortex-M0, Cortex-M3 and Cortex-M4 with FPU + +The example is configured for uVision Simulator diff --git a/DSP_Lib/Examples/arm_fft_bin_example/ARM/arm_fft_bin_data.c b/DSP_Lib/Examples/arm_fft_bin_example/ARM/arm_fft_bin_data.c new file mode 100644 index 0000000..b5159e5 --- /dev/null +++ b/DSP_Lib/Examples/arm_fft_bin_example/ARM/arm_fft_bin_data.c @@ -0,0 +1,308 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_fft_bin_data.c +* +* Description: Data file used for example code +* +* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. + * -------------------------------------------------------------------- */ + +#include "arm_math.h" + +/* ---------------------------------------------------------------------- +Test Input signal contains 10KHz signal + Uniformly distributed white noise +** ------------------------------------------------------------------- */ + +float32_t testInput_f32_10khz[2048] = +{ +-0.865129623056441, 0.000000000000000, -2.655020678073846, 0.000000000000000, 0.600664612949661, 0.000000000000000, 0.080378093886515, 0.000000000000000, +-2.899160484012034, 0.000000000000000, 2.563004262857762, 0.000000000000000, 3.078328403304206, 0.000000000000000, 0.105906778385130, 0.000000000000000, +0.048366940168201, 0.000000000000000, -0.145696461188734, 0.000000000000000, -0.023417155362879, 0.000000000000000, 2.127729174988954, 0.000000000000000, +-1.176633086028377, 0.000000000000000, 3.690223557991855, 0.000000000000000, -0.622791766173194, 0.000000000000000, 0.722837373872203, 0.000000000000000, +2.739754205367484, 0.000000000000000, -0.062610410524552, 0.000000000000000, -0.891296810967338, 0.000000000000000, -1.845872258871811, 0.000000000000000, +1.195039415434387, 0.000000000000000, -2.177388969045026, 0.000000000000000, 1.078649103637905, 0.000000000000000, 2.570976050490193, 0.000000000000000, +-1.383551403404574, 0.000000000000000, 2.392141424058873, 0.000000000000000, 2.858002843205065, 0.000000000000000, -3.682433899725536, 0.000000000000000, +-3.488146646451150, 0.000000000000000, 1.323468578888120, 0.000000000000000, -0.099771155430726, 0.000000000000000, 1.561168082500454, 0.000000000000000, +1.025026795103179, 0.000000000000000, 0.928841900171200, 0.000000000000000, 2.930499509864950, 0.000000000000000, 2.013349089766430, 0.000000000000000, +2.381676148486737, 0.000000000000000, -3.081062307950236, 0.000000000000000, -0.389579115537544, 0.000000000000000, 0.181540149166620, 0.000000000000000, +-2.601953341353208, 0.000000000000000, 0.333435137783218, 0.000000000000000, -2.812945856162965, 0.000000000000000, 2.649109640172910, 0.000000000000000, +-1.003963025744654, 0.000000000000000, 1.552460768755035, 0.000000000000000, 0.088641345335247, 0.000000000000000, -2.519951327113426, 0.000000000000000, +-4.341348988610527, 0.000000000000000, 0.557772429359965, 0.000000000000000, -1.671267412948494, 0.000000000000000, 0.733951350960387, 0.000000000000000, +0.409263788034864, 0.000000000000000, 3.566033071952806, 0.000000000000000, 1.882565173848352, 0.000000000000000, -1.106017073793287, 0.000000000000000, +0.154456720778718, 0.000000000000000, -2.513205795512153, 0.000000000000000, 0.310978660939421, 0.000000000000000, 0.579706500111723, 0.000000000000000, +0.000086383683251, 0.000000000000000, -1.311866980897721, 0.000000000000000, 1.840007477574986, 0.000000000000000, -3.253005768451345, 0.000000000000000, +1.462584328739432, 0.000000000000000, 1.610103610851738, 0.000000000000000, 0.761914676858907, 0.000000000000000, 0.974541361089834, 0.000000000000000, +0.686845845885983, 0.000000000000000, 1.849153122025191, 0.000000000000000, 0.787800410401453, 0.000000000000000, -1.187438909666279, 0.000000000000000, +-0.754937911044720, 0.000000000000000, 0.084373858395232, 0.000000000000000, -2.600269011710521, 0.000000000000000, -0.962982842142644, 0.000000000000000, +-0.369328108540868, 0.000000000000000, 0.810791418361879, 0.000000000000000, 3.587016488699641, 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2.337405215062395, 0.000000000000000, -3.980689173859100, 0.000000000000000, + + +}; + diff --git a/DSP_Lib/Examples/arm_fft_bin_example/ARM/arm_fft_bin_example_f32.c b/DSP_Lib/Examples/arm_fft_bin_example/ARM/arm_fft_bin_example_f32.c new file mode 100644 index 0000000..6214211 --- /dev/null +++ b/DSP_Lib/Examples/arm_fft_bin_example/ARM/arm_fft_bin_example_f32.c @@ -0,0 +1,158 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_fft_bin_example_f32.c +* +* Description: Example code demonstrating calculation of Max energy bin of +* frequency domain of input signal. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. + * -------------------------------------------------------------------- */ + +/** + * @ingroup groupExamples + */ + +/** + * @defgroup FrequencyBin Frequency Bin Example + * + * \par Description + * \par + * Demonstrates the calculation of the maximum energy bin in the frequency + * domain of the input signal with the use of Complex FFT, Complex + * Magnitude, and Maximum functions. + * + * \par Algorithm: + * \par + * The input test signal contains a 10 kHz signal with uniformly distributed white noise. + * Calculating the FFT of the input signal will give us the maximum energy of the + * bin corresponding to the input frequency of 10 kHz. + * + * \par Block Diagram: + * \image html FFTBin.gif "Block Diagram" + * \par + * The figure below shows the time domain signal of 10 kHz signal with + * uniformly distributed white noise, and the next figure shows the input + * in the frequency domain. The bin with maximum energy corresponds to 10 kHz signal. + * \par + * \image html FFTBinInput.gif "Input signal in Time domain" + * \image html FFTBinOutput.gif "Input signal in Frequency domain" + * + * \par Variables Description: + * \par + * \li \c testInput_f32_10khz points to the input data + * \li \c testOutput points to the output data + * \li \c fftSize length of FFT + * \li \c ifftFlag flag for the selection of CFFT/CIFFT + * \li \c doBitReverse Flag for selection of normal order or bit reversed order + * \li \c refIndex reference index value at which maximum energy of bin ocuurs + * \li \c testIndex calculated index value at which maximum energy of bin ocuurs + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_cfft_f32() + * - arm_cmplx_mag_f32() + * - arm_max_f32() + * + * <b> Refer </b> + * \link arm_fft_bin_example_f32.c \endlink + * + */ + + +/** \example arm_fft_bin_example_f32.c + */ + + +#include "arm_math.h" +#include "arm_const_structs.h" + +#define TEST_LENGTH_SAMPLES 2048 + +/* ------------------------------------------------------------------- +* External Input and Output buffer Declarations for FFT Bin Example +* ------------------------------------------------------------------- */ +extern float32_t testInput_f32_10khz[TEST_LENGTH_SAMPLES]; +static float32_t testOutput[TEST_LENGTH_SAMPLES/2]; + +/* ------------------------------------------------------------------ +* Global variables for FFT Bin Example +* ------------------------------------------------------------------- */ +uint32_t fftSize = 1024; +uint32_t ifftFlag = 0; +uint32_t doBitReverse = 1; + +/* Reference index at which max energy of bin ocuurs */ +uint32_t refIndex = 213, testIndex = 0; + +/* ---------------------------------------------------------------------- +* Max magnitude FFT Bin test +* ------------------------------------------------------------------- */ + +int32_t main(void) +{ + + arm_status status; + float32_t maxValue; + + status = ARM_MATH_SUCCESS; + + /* Process the data through the CFFT/CIFFT module */ + arm_cfft_f32(&arm_cfft_sR_f32_len1024, testInput_f32_10khz, ifftFlag, doBitReverse); + + /* Process the data through the Complex Magnitude Module for + calculating the magnitude at each bin */ + arm_cmplx_mag_f32(testInput_f32_10khz, testOutput, fftSize); + + /* Calculates maxValue and returns corresponding BIN value */ + arm_max_f32(testOutput, fftSize, &maxValue, &testIndex); + + if(testIndex != refIndex) + { + status = ARM_MATH_TEST_FAILURE; + } + + /* ---------------------------------------------------------------------- + ** Loop here if the signals fail the PASS check. + ** This denotes a test failure + ** ------------------------------------------------------------------- */ + + if( status != ARM_MATH_SUCCESS) + { + while(1); + } + + while(1); /* main function does not return */ +} + + /** \endlink */ diff --git a/DSP_Lib/Examples/arm_fft_bin_example/GCC/Abstract.txt b/DSP_Lib/Examples/arm_fft_bin_example/GCC/Abstract.txt new file mode 100644 index 0000000..f6a7fba --- /dev/null +++ b/DSP_Lib/Examples/arm_fft_bin_example/GCC/Abstract.txt @@ -0,0 +1,4 @@ +CMSIS DSP_Lib example arm_fft_bin_example for + Cortex-M0, Cortex-M3 and Cortex-M4 with FPU + +The example is configured for uVision Simulator diff --git a/DSP_Lib/Examples/arm_fft_bin_example/GCC/arm_fft_bin_data.c b/DSP_Lib/Examples/arm_fft_bin_example/GCC/arm_fft_bin_data.c new file mode 100644 index 0000000..b5159e5 --- /dev/null +++ b/DSP_Lib/Examples/arm_fft_bin_example/GCC/arm_fft_bin_data.c @@ -0,0 +1,308 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_fft_bin_data.c +* +* Description: Data file used for example code +* +* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. + * -------------------------------------------------------------------- */ + +#include "arm_math.h" + +/* ---------------------------------------------------------------------- +Test Input signal contains 10KHz signal + Uniformly distributed white noise +** ------------------------------------------------------------------- */ + +float32_t testInput_f32_10khz[2048] = +{ +-0.865129623056441, 0.000000000000000, -2.655020678073846, 0.000000000000000, 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2.337405215062395, 0.000000000000000, -3.980689173859100, 0.000000000000000, + + +}; + diff --git a/DSP_Lib/Examples/arm_fft_bin_example/GCC/arm_fft_bin_example_f32.c b/DSP_Lib/Examples/arm_fft_bin_example/GCC/arm_fft_bin_example_f32.c new file mode 100644 index 0000000..6214211 --- /dev/null +++ b/DSP_Lib/Examples/arm_fft_bin_example/GCC/arm_fft_bin_example_f32.c @@ -0,0 +1,158 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_fft_bin_example_f32.c +* +* Description: Example code demonstrating calculation of Max energy bin of +* frequency domain of input signal. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. + * -------------------------------------------------------------------- */ + +/** + * @ingroup groupExamples + */ + +/** + * @defgroup FrequencyBin Frequency Bin Example + * + * \par Description + * \par + * Demonstrates the calculation of the maximum energy bin in the frequency + * domain of the input signal with the use of Complex FFT, Complex + * Magnitude, and Maximum functions. + * + * \par Algorithm: + * \par + * The input test signal contains a 10 kHz signal with uniformly distributed white noise. + * Calculating the FFT of the input signal will give us the maximum energy of the + * bin corresponding to the input frequency of 10 kHz. + * + * \par Block Diagram: + * \image html FFTBin.gif "Block Diagram" + * \par + * The figure below shows the time domain signal of 10 kHz signal with + * uniformly distributed white noise, and the next figure shows the input + * in the frequency domain. The bin with maximum energy corresponds to 10 kHz signal. + * \par + * \image html FFTBinInput.gif "Input signal in Time domain" + * \image html FFTBinOutput.gif "Input signal in Frequency domain" + * + * \par Variables Description: + * \par + * \li \c testInput_f32_10khz points to the input data + * \li \c testOutput points to the output data + * \li \c fftSize length of FFT + * \li \c ifftFlag flag for the selection of CFFT/CIFFT + * \li \c doBitReverse Flag for selection of normal order or bit reversed order + * \li \c refIndex reference index value at which maximum energy of bin ocuurs + * \li \c testIndex calculated index value at which maximum energy of bin ocuurs + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_cfft_f32() + * - arm_cmplx_mag_f32() + * - arm_max_f32() + * + * <b> Refer </b> + * \link arm_fft_bin_example_f32.c \endlink + * + */ + + +/** \example arm_fft_bin_example_f32.c + */ + + +#include "arm_math.h" +#include "arm_const_structs.h" + +#define TEST_LENGTH_SAMPLES 2048 + +/* ------------------------------------------------------------------- +* External Input and Output buffer Declarations for FFT Bin Example +* ------------------------------------------------------------------- */ +extern float32_t testInput_f32_10khz[TEST_LENGTH_SAMPLES]; +static float32_t testOutput[TEST_LENGTH_SAMPLES/2]; + +/* ------------------------------------------------------------------ +* Global variables for FFT Bin Example +* ------------------------------------------------------------------- */ +uint32_t fftSize = 1024; +uint32_t ifftFlag = 0; +uint32_t doBitReverse = 1; + +/* Reference index at which max energy of bin ocuurs */ +uint32_t refIndex = 213, testIndex = 0; + +/* ---------------------------------------------------------------------- +* Max magnitude FFT Bin test +* ------------------------------------------------------------------- */ + +int32_t main(void) +{ + + arm_status status; + float32_t maxValue; + + status = ARM_MATH_SUCCESS; + + /* Process the data through the CFFT/CIFFT module */ + arm_cfft_f32(&arm_cfft_sR_f32_len1024, testInput_f32_10khz, ifftFlag, doBitReverse); + + /* Process the data through the Complex Magnitude Module for + calculating the magnitude at each bin */ + arm_cmplx_mag_f32(testInput_f32_10khz, testOutput, fftSize); + + /* Calculates maxValue and returns corresponding BIN value */ + arm_max_f32(testOutput, fftSize, &maxValue, &testIndex); + + if(testIndex != refIndex) + { + status = ARM_MATH_TEST_FAILURE; + } + + /* ---------------------------------------------------------------------- + ** Loop here if the signals fail the PASS check. + ** This denotes a test failure + ** ------------------------------------------------------------------- */ + + if( status != ARM_MATH_SUCCESS) + { + while(1); + } + + while(1); /* main function does not return */ +} + + /** \endlink */ diff --git a/DSP_Lib/Examples/arm_fir_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_fir_example/ARM/Abstract.txt new file mode 100644 index 0000000..1fb1bfb --- /dev/null +++ b/DSP_Lib/Examples/arm_fir_example/ARM/Abstract.txt @@ -0,0 +1,4 @@ +CMSIS DSP_Lib example arm_fir_example for + Cortex-M0, Cortex-M3 and Cortex-M4 with FPU + +The example is configured for uVision Simulator diff --git a/DSP_Lib/Examples/arm_fir_example/ARM/arm_fir_data.c b/DSP_Lib/Examples/arm_fir_example/ARM/arm_fir_data.c new file mode 100644 index 0000000..283a25e --- /dev/null +++ b/DSP_Lib/Examples/arm_fir_example/ARM/arm_fir_data.c @@ -0,0 +1,134 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_fir_data.c +* +* Description: Data file used for example code +* +* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. + * -------------------------------------------------------------------- */ + +#include "arm_math.h" + +/* ---------------------------------------------------------------------- +** Test input signal contains 1000Hz + 15000 Hz +** ------------------------------------------------------------------- */ + +float32_t testInput_f32_1kHz_15kHz[320] = +{ ++0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, 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+0.4619397663f, ++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f, ++0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f, +-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f, +-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f, +-0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f, ++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f, ++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f, ++0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f, +}; + +float32_t refOutput[320] = +{ ++0.0000000000f, -0.0010797829f, -0.0007681386f, -0.0001982932f, +0.0000644313f, +0.0020854271f, +0.0036891871f, +0.0015855941f, +-0.0026280805f, -0.0075907658f, -0.0119390538f, -0.0086665968f, +0.0088981202f, +0.0430539279f, +0.0974468742f, +0.1740405600f, ++0.2681416601f, +0.3747720089f, +0.4893362230f, +0.6024154672f, +0.7058740791f, +0.7968348987f, +0.8715901940f, +0.9277881093f, ++0.9682182661f, +0.9934674267f, +1.0012052245f, +0.9925859371f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f, ++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, -0.0000000000f, -0.1309866321f, +-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f, +-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f, +-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f, ++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f, ++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f, ++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, -0.0000000000f, -0.1309866321f, +-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f, +-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f, +-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f, ++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f, ++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f, ++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, -0.0000000000f, -0.1309866321f, +-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f, +-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f, +-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f, ++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f, ++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f, ++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, +0.0000000000f, -0.1309866321f, +-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f, +-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f, +-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f, ++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f, ++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f, ++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, +0.0000000000f, -0.1309866321f, +-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f, +-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f, +-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, -0.0000000000f, +0.1309866321f, ++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f, ++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f, ++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, +0.0000000000f, -0.1309866321f, +-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f, +-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f, +-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f, ++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f, ++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f +}; + diff --git a/DSP_Lib/Examples/arm_fir_example/ARM/arm_fir_example_f32.c b/DSP_Lib/Examples/arm_fir_example/ARM/arm_fir_example_f32.c new file mode 100644 index 0000000..58dfb47 --- /dev/null +++ b/DSP_Lib/Examples/arm_fir_example/ARM/arm_fir_example_f32.c @@ -0,0 +1,233 @@ +/* ---------------------------------------------------------------------- + * Copyright (C) 2010-2012 ARM Limited. All rights reserved. + * +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library + * Title: arm_fir_example_f32.c + * + * Description: Example code demonstrating how an FIR filter can be used + * as a low pass filter. + * + * Target Processor: Cortex-M4/Cortex-M3 + * +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. + * -------------------------------------------------------------------- */ + +/** + * @ingroup groupExamples + */ + +/** + * @defgroup FIRLPF FIR Lowpass Filter Example + * + * \par Description: + * \par + * Removes high frequency signal components from the input using an FIR lowpass filter. + * The example demonstrates how to configure an FIR filter and then pass data through + * it in a block-by-block fashion. + * \image html FIRLPF_signalflow.gif + * + * \par Algorithm: + * \par + * The input signal is a sum of two sine waves: 1 kHz and 15 kHz. + * This is processed by an FIR lowpass filter with cutoff frequency 6 kHz. + * The lowpass filter eliminates the 15 kHz signal leaving only the 1 kHz sine wave at the output. + * \par + * The lowpass filter was designed using MATLAB with a sample rate of 48 kHz and + * a length of 29 points. + * The MATLAB code to generate the filter coefficients is shown below: + * <pre> + * h = fir1(28, 6/24); + * </pre> + * The first argument is the "order" of the filter and is always one less than the desired length. + * The second argument is the normalized cutoff frequency. This is in the range 0 (DC) to 1.0 (Nyquist). + * A 6 kHz cutoff with a Nyquist frequency of 24 kHz lies at a normalized frequency of 6/24 = 0.25. + * The CMSIS FIR filter function requires the coefficients to be in time reversed order. + * <pre> + * fliplr(h) + * </pre> + * The resulting filter coefficients and are shown below. + * Note that the filter is symmetric (a property of linear phase FIR filters) + * and the point of symmetry is sample 14. Thus the filter will have a delay of + * 14 samples for all frequencies. + * \par + * \image html FIRLPF_coeffs.gif + * \par + * The frequency response of the filter is shown next. + * The passband gain of the filter is 1.0 and it reaches 0.5 at the cutoff frequency 6 kHz. + * \par + * \image html FIRLPF_response.gif + * \par + * The input signal is shown below. + * The left hand side shows the signal in the time domain while the right hand side is a frequency domain representation. + * The two sine wave components can be clearly seen. + * \par + * \image html FIRLPF_input.gif + * \par + * The output of the filter is shown below. The 15 kHz component has been eliminated. + * \par + * \image html FIRLPF_output.gif + * + * \par Variables Description: + * \par + * \li \c testInput_f32_1kHz_15kHz points to the input data + * \li \c refOutput points to the reference output data + * \li \c testOutput points to the test output data + * \li \c firStateF32 points to state buffer + * \li \c firCoeffs32 points to coefficient buffer + * \li \c blockSize number of samples processed at a time + * \li \c numBlocks number of frames + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_fir_init_f32() + * - arm_fir_f32() + * + * <b> Refer </b> + * \link arm_fir_example_f32.c \endlink + * + */ + + +/** \example arm_fir_example_f32.c + */ + +/* ---------------------------------------------------------------------- +** Include Files +** ------------------------------------------------------------------- */ + +#include "arm_math.h" +#include "math_helper.h" + +/* ---------------------------------------------------------------------- +** Macro Defines +** ------------------------------------------------------------------- */ + +#define TEST_LENGTH_SAMPLES 320 +#define SNR_THRESHOLD_F32 140.0f +#define BLOCK_SIZE 32 +#define NUM_TAPS 29 + +/* ------------------------------------------------------------------- + * The input signal and reference output (computed with MATLAB) + * are defined externally in arm_fir_lpf_data.c. + * ------------------------------------------------------------------- */ + +extern float32_t testInput_f32_1kHz_15kHz[TEST_LENGTH_SAMPLES]; +extern float32_t refOutput[TEST_LENGTH_SAMPLES]; + +/* ------------------------------------------------------------------- + * Declare Test output buffer + * ------------------------------------------------------------------- */ + +static float32_t testOutput[TEST_LENGTH_SAMPLES]; + +/* ------------------------------------------------------------------- + * Declare State buffer of size (numTaps + blockSize - 1) + * ------------------------------------------------------------------- */ + +static float32_t firStateF32[BLOCK_SIZE + NUM_TAPS - 1]; + +/* ---------------------------------------------------------------------- +** FIR Coefficients buffer generated using fir1() MATLAB function. +** fir1(28, 6/24) +** ------------------------------------------------------------------- */ + +const float32_t firCoeffs32[NUM_TAPS] = { + -0.0018225230f, -0.0015879294f, +0.0000000000f, +0.0036977508f, +0.0080754303f, +0.0085302217f, -0.0000000000f, -0.0173976984f, + -0.0341458607f, -0.0333591565f, +0.0000000000f, +0.0676308395f, +0.1522061835f, +0.2229246956f, +0.2504960933f, +0.2229246956f, + +0.1522061835f, +0.0676308395f, +0.0000000000f, -0.0333591565f, -0.0341458607f, -0.0173976984f, -0.0000000000f, +0.0085302217f, + +0.0080754303f, +0.0036977508f, +0.0000000000f, -0.0015879294f, -0.0018225230f +}; + +/* ------------------------------------------------------------------ + * Global variables for FIR LPF Example + * ------------------------------------------------------------------- */ + +uint32_t blockSize = BLOCK_SIZE; +uint32_t numBlocks = TEST_LENGTH_SAMPLES/BLOCK_SIZE; + +float32_t snr; + +/* ---------------------------------------------------------------------- + * FIR LPF Example + * ------------------------------------------------------------------- */ + +int32_t main(void) +{ + uint32_t i; + arm_fir_instance_f32 S; + arm_status status; + float32_t *inputF32, *outputF32; + + /* Initialize input and output buffer pointers */ + inputF32 = &testInput_f32_1kHz_15kHz[0]; + outputF32 = &testOutput[0]; + + /* Call FIR init function to initialize the instance structure. */ + arm_fir_init_f32(&S, NUM_TAPS, (float32_t *)&firCoeffs32[0], &firStateF32[0], blockSize); + + /* ---------------------------------------------------------------------- + ** Call the FIR process function for every blockSize samples + ** ------------------------------------------------------------------- */ + + for(i=0; i < numBlocks; i++) + { + arm_fir_f32(&S, inputF32 + (i * blockSize), outputF32 + (i * blockSize), blockSize); + } + + /* ---------------------------------------------------------------------- + ** Compare the generated output against the reference output computed + ** in MATLAB. + ** ------------------------------------------------------------------- */ + + snr = arm_snr_f32(&refOutput[0], &testOutput[0], TEST_LENGTH_SAMPLES); + + if (snr < SNR_THRESHOLD_F32) + { + status = ARM_MATH_TEST_FAILURE; + } + else + { + status = ARM_MATH_SUCCESS; + } + + /* ---------------------------------------------------------------------- + ** Loop here if the signal does not match the reference output. + ** ------------------------------------------------------------------- */ + + if( status != ARM_MATH_SUCCESS) + { + while(1); + } + + while(1); /* main function does not return */ +} + +/** \endlink */ diff --git a/DSP_Lib/Examples/arm_fir_example/ARM/math_helper.c b/DSP_Lib/Examples/arm_fir_example/ARM/math_helper.c new file mode 100644 index 0000000..dbf2cfe --- /dev/null +++ b/DSP_Lib/Examples/arm_fir_example/ARM/math_helper.c @@ -0,0 +1,458 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* +* Title: math_helper.c +* +* Description: Definition of all helper functions required. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + +/* ---------------------------------------------------------------------- +* Include standard header files +* -------------------------------------------------------------------- */ +#include<math.h> + +/* ---------------------------------------------------------------------- +* Include project header files +* -------------------------------------------------------------------- */ +#include "math_helper.h" + +/** + * @brief Caluclation of SNR + * @param float* Pointer to the reference buffer + * @param float* Pointer to the test buffer + * @param uint32_t total number of samples + * @return float SNR + * The function Caluclates signal to noise ratio for the reference output + * and test output + */ + +float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize) +{ + float EnergySignal = 0.0, EnergyError = 0.0; + uint32_t i; + float SNR; + int temp; + int *test; + + for (i = 0; i < buffSize; i++) + { + /* Checking for a NAN value in pRef array */ + test = (int *)(&pRef[i]); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + + /* Checking for a NAN value in pTest array */ + test = (int *)(&pTest[i]); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + EnergySignal += pRef[i] * pRef[i]; + EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]); + } + + /* Checking for a NAN value in EnergyError */ + test = (int *)(&EnergyError); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + + + SNR = 10 * log10 (EnergySignal / EnergyError); + + return (SNR); + +} + + +/** + * @brief Provide guard bits for Input buffer + * @param q15_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + +/** + * @brief Converts float to fixed in q12.20 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point(q12.20) values + */ + +void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1048576.0f corresponds to pow(2, 20) */ + pOut[i] = (q31_t) (pIn[i] * 1048576.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 1.0) + { + pOut[i] = 0x000FFFFF; + } + } +} + +/** + * @brief Compare MATLAB Reference Output and ARM Test output + * @param q15_t* Pointer to Ref buffer + * @param q15_t* Pointer to Test buffer + * @param uint32_t number of samples in the buffer + * @return none + */ + +uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples) +{ + uint32_t i; + int32_t diff, diffCrnt = 0; + uint32_t maxDiff = 0; + + for (i = 0; i < numSamples; i++) + { + diff = pIn[i] - pOut[i]; + diffCrnt = (diff > 0) ? diff : -diff; + + if(diffCrnt > maxDiff) + { + maxDiff = diffCrnt; + } + } + + return(maxDiff); +} + +/** + * @brief Compare MATLAB Reference Output and ARM Test output + * @param q31_t* Pointer to Ref buffer + * @param q31_t* Pointer to Test buffer + * @param uint32_t number of samples in the buffer + * @return none + */ + +uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples) +{ + uint32_t i; + int32_t diff, diffCrnt = 0; + uint32_t maxDiff = 0; + + for (i = 0; i < numSamples; i++) + { + diff = pIn[i] - pOut[i]; + diffCrnt = (diff > 0) ? diff : -diff; + + if(diffCrnt > maxDiff) + { + maxDiff = diffCrnt; + } + } + + return(maxDiff); +} + +/** + * @brief Provide guard bits for Input buffer + * @param q31_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q31 (q31_t * input_buf, + uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + +/** + * @brief Provide guard bits for Input buffer + * @param q31_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q7 (q7_t * input_buf, + uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + + + +/** + * @brief Caluclates number of guard bits + * @param uint32_t number of additions + * @return none + * The function Caluclates the number of guard bits + * depending on the numtaps + */ + +uint32_t arm_calc_guard_bits (uint32_t num_adds) +{ + uint32_t i = 1, j = 0; + + if (num_adds == 1) + { + return (0); + } + + while (i < num_adds) + { + i = i * 2; + j++; + } + + return (j); +} + +/** + * @brief Converts Q15 to floating-point + * @param uint32_t number of samples in the buffer + * @return none + */ + +void arm_apply_guard_bits (float32_t * pIn, + uint32_t numSamples, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + pIn[i] = pIn[i] * arm_calc_2pow(guard_bits); + } +} + +/** + * @brief Calculates pow(2, numShifts) + * @param uint32_t number of shifts + * @return pow(2, numShifts) + */ +uint32_t arm_calc_2pow(uint32_t numShifts) +{ + + uint32_t i, val = 1; + + for (i = 0; i < numShifts; i++) + { + val = val * 2; + } + + return(val); +} + + + +/** + * @brief Converts float to fixed q14 + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q14 (float *pIn, q15_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 16384.0f corresponds to pow(2, 14) */ + pOut[i] = (q15_t) (pIn[i] * 16384.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 2.0) + { + pOut[i] = 0x7FFF; + } + + } + +} + + +/** + * @brief Converts float to fixed q30 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q30 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1073741824.0f corresponds to pow(2, 30) */ + pOut[i] = (q31_t) (pIn[i] * 1073741824.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 2.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + +/** + * @brief Converts float to fixed q30 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q29 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1073741824.0f corresponds to pow(2, 30) */ + pOut[i] = (q31_t) (pIn[i] * 536870912.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 4.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + + +/** + * @brief Converts float to fixed q28 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q28 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 268435456.0f corresponds to pow(2, 28) */ + pOut[i] = (q31_t) (pIn[i] * 268435456.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 8.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + +/** + * @brief Clip the float values to +/- 1 + * @param pIn input buffer + * @param numSamples number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_clip_f32 (float *pIn, uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + if(pIn[i] > 1.0f) + { + pIn[i] = 1.0; + } + else if( pIn[i] < -1.0f) + { + pIn[i] = -1.0; + } + + } +} + + + + diff --git a/DSP_Lib/Examples/arm_fir_example/ARM/math_helper.h b/DSP_Lib/Examples/arm_fir_example/ARM/math_helper.h new file mode 100644 index 0000000..46b0af3 --- /dev/null +++ b/DSP_Lib/Examples/arm_fir_example/ARM/math_helper.h @@ -0,0 +1,63 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2013 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* +* Title: math_helper.h +* +* Description: Prototypes of all helper functions required. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + + +#include "arm_math.h" + +#ifndef MATH_HELPER_H +#define MATH_HELPER_H + +float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize); +void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples); +void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits); +void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits); +void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples); +void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_clip_f32(float *pIn, uint32_t numSamples); +uint32_t arm_calc_guard_bits(uint32_t num_adds); +void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits); +uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples); +uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples); +uint32_t arm_calc_2pow(uint32_t guard_bits); +#endif + diff --git a/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/Abstract.txt new file mode 100644 index 0000000..a4ece08 --- /dev/null +++ b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/Abstract.txt @@ -0,0 +1,4 @@ +CMSIS DSP_Lib example arm_graphic_equalizer_example for + Cortex-M0, Cortex-M3 and Cortex-M4 with FPU + +The example is configured for uVision Simulator diff --git a/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/arm_graphic_equalizer_data.c b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/arm_graphic_equalizer_data.c new file mode 100644 index 0000000..ffb0ff3 --- /dev/null +++ b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/arm_graphic_equalizer_data.c @@ -0,0 +1,134 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_graphic_equalizer_data.c +* +* Description: Data file used for example code +* +* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. + * -------------------------------------------------------------------- */ + +#include "arm_math.h" + +float32_t testRefOutput_f32[320] = { + +0.000000000000000000, 0.001898396760225296, 0.004215449094772339, 0.007432077080011368, 0.010948467999696732, 0.015026375651359558, 0.019191544502973557, 0.023574527353048325, +0.027919445186853409, 0.032277785241603851, 0.036551639437675476, 0.040732793509960175, 0.044799156486988068, 0.048710610717535019, 0.052476800978183746, 0.056059073656797409, +0.059482168406248093, 0.062726479023694992, 0.065821025520563126, 0.068763464689254761, 0.071577839553356171, 0.074270240962505341, 0.076856281608343124, 0.079344697296619415, +0.081745062023401260, 0.084067162126302719, 0.086318407207727432, 0.088509257882833481, 0.090647127479314804, 0.092742368578910828, 0.094802625477313995, 0.096837285906076431, +0.098853722214698792, 0.100859899073839190, 0.102862443774938580, 0.104867763817310330, 0.106881409883499150, 0.108908228576183320, 0.110952425748109820, 0.113017357885837550, +0.115105822682380680, 0.117219865322113040, 0.119361080229282380, 0.121530555188655850, 0.123729091137647630, 0.125957202166318890, 0.128215309232473370, 0.130503740161657330, +0.132822841405868530, 0.135173004120588300, 0.137554679065942760, 0.139968376606702800, 0.142414685338735580, 0.144894234836101530, 0.147407654672861100, 0.149955596774816510, +0.152538605034351350, 0.155157200992107390, 0.157811731100082400, 0.160502441227436070, 0.163229387253522870, 0.165992442518472670, 0.168791320174932480, 0.171625509858131410, +0.174494370818138120, 0.177397061139345170, 0.180332608520984650, 0.183299910277128220, 0.186297744512557980, 0.189324837177991870, 0.192379791289567950, 0.195461250841617580, +0.198567759245634080, 0.201697919517755510, 0.204850304871797560, 0.208023533225059510, 0.211216274648904800, 0.214427210390567780, 0.217655111104249950, 0.220898788422346120, +0.224157124757766720, 0.227429077029228210, 0.230713658034801480, 0.234009962528944020, 0.237317133694887160, 0.240634419023990630, 0.243961080908775330, 0.247296508401632310, +0.250640105456113820, 0.253991369158029560, 0.257349837571382520, 0.260715119540691380, 0.264086868613958360, 0.267464816570281980, 0.270848698914051060, 0.274238351732492450, +0.277633611112833020, 0.281034380197525020, 0.284440591931343080, 0.287852220237255100, 0.291269283741712570, 0.294691801071166990, 0.298119872808456420, 0.301553562283515930, +0.304993014782667160, 0.308438356965780260, 0.311889752745628360, 0.315347377210855480, 0.318811416625976560, 0.322282072156667710, 0.325759567320346830, 0.329244095832109450, +0.332735907286405560, 0.336235217750072480, 0.339742250740528110, 0.343257248401641850, 0.346780419349670410, 0.350311983376741410, 0.353852160274982450, 0.357401121407747270, +0.360959105193614960, 0.364526227116584780, 0.368102725595235820, 0.371688675135374070, 0.375284302979707720, 0.378889638930559160, 0.382504884153604510, 0.386130042374134060, +0.389765247702598570, 0.393410529941320420, 0.397065933793783190, 0.400731507688760760, 0.404407206922769550, 0.408093083649873730, 0.411789052188396450, 0.415495119988918300, +0.419211201369762420, 0.422937240451574330, 0.426673140376806260, 0.430418811738491060, 0.434174135327339170, 0.437938995659351350, 0.441713258624076840, 0.445496778935194020, +0.449289388954639430, 0.453090950846672060, 0.456901267170906070, 0.460720170289278030, 0.464547459036111830, 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+float32_t testInput_f32[320] = + { + 0.000000000000000061, 0.002622410992047861, 0.005253663973466970, 0.007893770384930297, 0.010542741395035495, 0.013200587895525877, 0.015867320496454066, 0.018542949521290073, +0.021227485001971542, 0.023920936673895138, 0.026623313970853074, 0.029334626019908643, 0.032054881636210709, 0.034784089317753723, 0.037522257240071598, 0.040269393250875855, +0.043025504864628375, 0.045790599257054837, 0.048564683259595690, 0.051347763353792118, 0.054139845665610427, 0.056940935959702531, 0.059751039633601337, 0.062570161711849828, +0.065398306840066575, 0.068235479278943648, 0.071081682898178900, 0.073936921170339814, 0.076801197164660218, 0.079674513540768196, 0.082556872542344922, 0.085448275990715375, +0.088348725278367082, 0.091258221362398390, 0.094176764757897533, 0.097104355531246703, 0.100040993293358240, 0.102986677192832010, 0.105941405909045980, 0.108905177645166230, +0.111877990121087980, 0.114859840566297130, 0.117850725712659680, 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0.993257555083659870, 0.994103086570423680, 0.994894717408374870, 0.995631835818261310, 0.996313827892278070, 0.996940077662846650, 0.997509967173408010, + + }; diff --git a/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/arm_graphic_equalizer_example_q31.c b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/arm_graphic_equalizer_example_q31.c new file mode 100644 index 0000000..5cd2a8a --- /dev/null +++ b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/arm_graphic_equalizer_example_q31.c @@ -0,0 +1,411 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_graphic_equalizer_example_q31.c +* +* Description: Example showing an audio graphic equalizer constructed +* out of Biquad filters. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. + * -------------------------------------------------------------------- */ + +/** + * @ingroup groupExamples + */ + +/** + * @defgroup GEQ5Band Graphic Audio Equalizer Example + * + * \par Description: + * \par + * This example demonstrates how a 5-band graphic equalizer can be constructed + * using the Biquad cascade functions. + * A graphic equalizer is used in audio applications to vary the tonal quality + * of the audio. + * + * \par Block Diagram: + * \par + * The design is based on a cascade of 5 filter sections. + * \image html GEQ_signalflow.gif + * Each filter section is 4th order and consists of a cascade of two Biquads. + * Each filter has a nominal gain of 0 dB (1.0 in linear units) and + * boosts or cuts signals within a specific frequency range. + * The edge frequencies between the 5 bands are 100, 500, 2000, and 6000 Hz. + * Each band has an adjustable boost or cut in the range of +/- 9 dB. + * For example, the band that extends from 500 to 2000 Hz has the response shown below: + * \par + * \image html GEQ_bandresponse.gif + * \par + * With 1 dB steps, each filter has a total of 19 different settings. + * The filter coefficients for all possible 19 settings were precomputed + * in MATLAB and stored in a table. With 5 different tables, there are + * a total of 5 x 19 = 95 different 4th order filters. + * All 95 responses are shown below: + * \par + * \image html GEQ_allbandresponse.gif + * \par + * Each 4th order filter has 10 coefficents for a grand total of 950 different filter + * coefficients that must be tabulated. The input and output data is in Q31 format. + * For better noise performance, the two low frequency bands are implemented using the high + * precision 32x64-bit Biquad filters. The remaining 3 high frequency bands use standard + * 32x32-bit Biquad filters. The input signal used in the example is a logarithmic chirp. + * \par + * \image html GEQ_inputchirp.gif + * \par + * The array <code>bandGains</code> specifies the gain in dB to apply in each band. + * For example, if <code>bandGains={0, -3, 6, 4, -6};</code> then the output signal will be: + * \par + * \image html GEQ_outputchirp.gif + * \par + * \note The output chirp signal follows the gain or boost of each band. + * \par + * + * \par Variables Description: + * \par + * \li \c testInput_f32 points to the input data + * \li \c testRefOutput_f32 points to the reference output data + * \li \c testOutput points to the test output data + * \li \c inputQ31 temporary input buffer + * \li \c outputQ31 temporary output buffer + * \li \c biquadStateBand1Q31 points to state buffer for band1 + * \li \c biquadStateBand2Q31 points to state buffer for band2 + * \li \c biquadStateBand3Q31 points to state buffer for band3 + * \li \c biquadStateBand4Q31 points to state buffer for band4 + * \li \c biquadStateBand5Q31 points to state buffer for band5 + * \li \c coeffTable points to coefficient buffer for all bands + * \li \c gainDB gain buffer which has gains applied for all the bands + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_biquad_cas_df1_32x64_init_q31() + * - arm_biquad_cas_df1_32x64_q31() + * - arm_biquad_cascade_df1_init_q31() + * - arm_biquad_cascade_df1_q31() + * - arm_scale_q31() + * - arm_scale_f32() + * - arm_float_to_q31() + * - arm_q31_to_float() + * + * <b> Refer </b> + * \link arm_graphic_equalizer_example_q31.c \endlink + * + */ + + +/** \example arm_graphic_equalizer_example_q31.c + */ + + +#include "arm_math.h" +#include "math_helper.h" + +/* Length of the overall data in the test */ +#define TESTLENGTH 320 + +/* Block size for the underlying processing */ +#define BLOCKSIZE 32 + +/* Total number of blocks to run */ +#define NUMBLOCKS (TESTLENGTH/BLOCKSIZE) + +/* Number of 2nd order Biquad stages per filter */ +#define NUMSTAGES 2 + +#define SNR_THRESHOLD_F32 98 + +/* ------------------------------------------------------------------- + * External Declarations for Input and Output buffers + * ------------------------------------------------------------------- */ + +extern float32_t testInput_f32[TESTLENGTH]; +static float32_t testOutput[TESTLENGTH]; + +extern float32_t testRefOutput_f32[TESTLENGTH]; + +/* ---------------------------------------------------------------------- +** Q31 state buffers for Band1, Band2, Band3, Band4, Band5 +** ------------------------------------------------------------------- */ + +static q63_t biquadStateBand1Q31[4 * 2]; +static q63_t biquadStateBand2Q31[4 * 2]; +static q31_t biquadStateBand3Q31[4 * 2]; +static q31_t biquadStateBand4Q31[4 * 2]; +static q31_t biquadStateBand5Q31[4 * 2]; + +/* ---------------------------------------------------------------------- +** Q31 input and output buffers +** ------------------------------------------------------------------- */ + +q31_t inputQ31[BLOCKSIZE]; +q31_t outputQ31[BLOCKSIZE]; + +/* ---------------------------------------------------------------------- +** Entire coefficient table. There are 10 coefficients per 4th order Biquad +** cascade filter. The first 10 coefficients correspond to the -9 dB gain +** setting of band 1; the next 10 coefficient correspond to the -8 dB gain +** setting of band 1; and so on. There are 10*19=190 coefficients in total +** for band 1 (gains = -9, -8, -7, ..., 9). After this come the 190 coefficients +** for band 2. +** +** The coefficients are in Q29 format and require a postShift of 2. +** ------------------------------------------------------------------- */ + +const q31_t coeffTable[950] = { + + /* Band 1, -9 dB gain */ + 535576962, -1071153923, 535576962, 1073741824, -536870912, 535576962, -1063501998, 527979313, 1060865294, -524146981, + /* Band 1, -8 dB gain */ + 535723226, -1071446451, 535723226, 1073741824, -536870912, 535723226, -1063568947, 527903217, 1061230578, -524503778, + 535868593, -1071737186, 535868593, 1073741824, -536870912, 535868593, -1063627467, 527819780, 1061585502, -524850686, + 536013181, -1072026363, 536013181, 1073741824, -536870912, 536013181, -1063677598, 527728935, 1061930361, -525187972, + 536157109, -1072314217, 536157109, 1073741824, -536870912, 536157109, -1063719372, 527630607, 1062265438, -525515897, + 536300492, -1072600983, 536300492, 1073741824, -536870912, 536300492, -1063752815, 527524720, 1062591011, -525834716, + 536443447, -1072886894, 536443447, 1073741824, -536870912, 536443447, -1063777945, 527411186, 1062907350, -526144676, + 536586091, -1073172183, 536586091, 1073741824, -536870912, 536586091, -1063794775, 527289917, 1063214717, -526446017, + 536728541, -1073457082, 536728541, 1073741824, -536870912, 536728541, -1063803308, 527160815, 1063513366, -526738975, + 536870912, -1073741824, 536870912, 1073741824, -536870912, 536870912, -1063803543, 527023777, 1063803543, -527023777, + 537013321, -1074026642, 537013321, 1073741824, -536870912, 537013321, -1063795470, 526878696, 1064085490, -527300648, + 537155884, -1074311768, 537155884, 1073741824, -536870912, 537155884, -1063779073, 526725455, 1064359439, -527569803, + 537298718, -1074597435, 537298718, 1073741824, -536870912, 537298718, -1063754328, 526563934, 1064625617, -527831454, + 537441939, -1074883878, 537441939, 1073741824, -536870912, 537441939, -1063721205, 526394005, 1064884245, -528085806, + 537585666, -1075171331, 537585666, 1073741824, -536870912, 537585666, -1063679666, 526215534, 1065135536, -528333059, + 537730015, -1075460030, 537730015, 1073741824, -536870912, 537730015, -1063629666, 526028380, 1065379699, -528573409, + 537875106, -1075750212, 537875106, 1073741824, -536870912, 537875106, -1063571152, 525832396, 1065616936, -528807045, + 538021057, -1076042114, 538021057, 1073741824, -536870912, 538021057, -1063504065, 525627429, 1065847444, -529034151, + 538167989, -1076335977, 538167989, 1073741824, -536870912, 538167989, -1063428338, 525413317, 1066071412, -529254907, + + /* Band 2, -9 dB gain */ + 531784976, -1055497692, 523873415, 1066213307, -529420241, 531784976, -1040357886, 509828014, 1028908252, -494627367, + /* Band 2, -8 dB gain */ + 532357636, -1056601982, 524400080, 1066115844, -529326645, 532357636, -1040623406, 509562600, 1030462237, -496062122, + 532927392, -1057707729, 524931110, 1066024274, -529239070, 532927392, -1040848253, 509262081, 1031969246, -497457090, + 533494678, -1058816094, 525467240, 1065939047, -529157961, 533494678, -1041032161, 508925950, 1033429976, -498812573, + 534059929, -1059928204, 526009170, 1065860582, -529083734, 534059929, -1041174868, 508553717, 1034845124, -500128887, + 534623580, -1061045148, 526557561, 1065789260, -529016764, 534623580, -1041276126, 508144920, 1036215393, -501406373, + 535186068, -1062167969, 527113032, 1065725420, -528957385, 535186068, -1041335703, 507699125, 1037541500, -502645399, + 535747827, -1063297666, 527676151, 1065669351, -528905879, 535747827, -1041353386, 507215934, 1038824183, -503846368, + 536309295, -1064435183, 528247436, 1065621289, -528862476, 536309295, -1041328990, 506694984, 1040064203, -505009724, + 536870912, -1065581413, 528827349, 1065581413, -528827349, 536870912, -1041262354, 506135953, 1041262354, -506135953, + 537433117, -1066737194, 529416295, 1065549847, -528800610, 537433117, -1041153346, 505538564, 1042419457, -507225588, + 537996352, -1067903307, 530014622, 1065526651, -528782316, 537996352, -1041001864, 504902578, 1043536370, -508279208, + 538561061, -1069080480, 530622620, 1065511830, -528772462, 538561061, -1040807833, 504227800, 1044613981, -509297437, + 539127690, -1070269387, 531240527, 1065505333, -528770987, 539127690, -1040571205, 503514074, 1045653211, -510280946, + 539696690, -1071470656, 531868525, 1065507054, -528777778, 539696690, -1040291951, 502761277, 1046655011, -511230450, + 540268512, -1072684867, 532506750, 1065516837, -528792672, 540268512, -1039970063, 501969320, 1047620358, -512146700, + 540843613, -1073912567, 533155297, 1065534483, -528815459, 540843613, -1039605542, 501138139, 1048550251, -513030484, + 541422451, -1075154268, 533814224, 1065559750, -528845892, 541422451, -1039198394, 500267687, 1049445708, -513882621, + 542005489, -1076410460, 534483561, 1065592362, -528883686, 542005489, -1038748624, 499357932, 1050307760, -514703956, + 518903861, -1001986830, 486725277, 1037235801, -502367695, 518903861, -945834422, 446371043, 902366163, -400700571, + 520899989, -1005630916, 488289126, 1036926846, -502147311, 520899989, -946490935, 445581846, 907921945, -404936158, + 522893209, -1009290002, 489869792, 1036650484, -501961419, 522893209, -947006359, 444685310, 913306106, -409075225, + 524884763, -1012968199, 491470256, 1036407567, -501810737, 524884763, -947377809, 443679533, 918521018, -413116221, + 526875910, -1016669649, 493093518, 1036198712, -501695739, 526875910, -947602324, 442562672, 923569247, -417057897, + 528867927, -1020398503, 494742575, 1036024293, -501616651, 528867927, -947676875, 441332970, 928453558, -420899319, + 530862111, -1024158905, 496420407, 1035884447, -501573457, 530862111, -947598385, 439988777, 933176909, -424639872, + 532859778, -1027954970, 498129955, 1035779077, -501565907, 532859778, -947363742, 438528571, 937742446, -428279254, + 534862260, -1031790763, 499874098, 1035707863, -501593525, 534862260, -946969823, 436950987, 942153486, -431817474, + 536870912, -1035670279, 501655630, 1035670279, -501655630, 536870912, -946413508, 435254839, 946413508, -435254839, + 538887107, -1039597419, 503477238, 1035665609, -501751354, 538887107, -945691703, 433439146, 950526127, -438591937, + 540912240, -1043575967, 505341475, 1035692963, -501879659, 540912240, -944801359, 431503152, 954495080, -441829621, + 542947726, -1047609569, 507250741, 1035751307, -502039364, 542947726, -943739490, 429446349, 958324201, -444968987, + 544995000, -1051701717, 509207261, 1035839473, -502229165, 544995000, -942503190, 427268492, 962017400, -448011351, + 547055523, -1055855728, 511213065, 1035956193, -502447657, 547055523, -941089647, 424969617, 965578640, -450958226, + 549130774, -1060074734, 513269973, 1036100110, -502693359, 549130774, -939496155, 422550049, 969011913, -453811298, + 551222259, -1064361672, 515379585, 1036269804, -502964731, 551222259, -937720119, 420010407, 972321228, -456572401, + 553331507, -1068719280, 517543273, 1036463810, -503260192, 553331507, -935759057, 417351601, 975510582, -459243495, + 555460072, -1073150100, 519762181, 1036680633, -503578144, 555460072, -933610600, 414574832, 978583948, -461826644, + 494084017, -851422604, 404056273, 930151631, -423619864, 494084017, -673714108, 339502486, 561843007, -265801750, + 498713542, -859177141, 406587077, 929211656, -423786402, 498713542, -673274906, 338185129, 573719128, -272222942, + 503369016, -867012190, 409148384, 928362985, -424054784, 503369016, -672533059, 336693984, 585290277, -278599028, + 508052536, -874935599, 411746438, 927604291, -424422151, 508052536, -671478538, 335026905, 596558312, -284920289, + 512766286, -882955583, 414387826, 926933782, -424885216, 512766286, -670100998, 333182045, 607525792, -291177811, + 517512534, -891080712, 417079474, 926349262, -425440318, 517512534, -668389789, 331157902, 618195914, -297363485, + 522293635, -899319903, 419828635, 925848177, -426083491, 522293635, -666333963, 328953368, 628572440, -303470012, + 527112032, -907682405, 422642886, 925427679, -426810526, 527112032, -663922286, 326567785, 638659631, -309490882, + 531970251, -916177781, 425530105, 925084675, -427617023, 531970251, -661143261, 324000998, 648462180, -315420352, + 536870912, -924815881, 428498454, 924815881, -428498454, 536870912, -657985147, 321253420, 657985147, -321253420, + 541816719, -933606817, 431556352, 924617870, -429450209, 541816719, -654435997, 318326093, 667233900, -326985786, + 546810467, -942560921, 434712438, 924487114, -430467639, 546810467, -650483688, 315220754, 676214053, -332613816, + 551855042, -951688708, 437975532, 924420027, -431546101, 551855042, -646115970, 311939896, 684931422, -338134495, + 556953421, -961000826, 441354588, 924413001, -432680993, 556953421, -641320513, 308486839, 693391970, -343545389, + 562108672, -970508005, 444858642, 924462435, -433867780, 562108672, -636084967, 304865786, 701601770, -348844597, + 567323959, -980220994, 448496743, 924564764, -435102022, 567323959, -630397020, 301081886, 709566963, -354030710, + 572602539, -990150500, 452277894, 924716482, -436379394, 572602539, -624244471, 297141281, 717293726, -359102767, + 577947763, -1000307125, 456210977, 924914158, -437695705, 577947763, -617615296, 293051155, 724788245, -364060214, + 583363084, -1010701292, 460304674, 925154455, -439046908, 583363084, -610497723, 288819761, 732056685, -368902865, + 387379495, -506912469, 196933274, 840112184, -347208270, 387379495, 506912469, 196933274, -840112184, -347208270, + 401658082, -532275898, 207149427, 833765363, -343175316, 401658082, 532275898, 207149427, -833765363, -343175316, + 416472483, -558722695, 217902617, 827270154, -339107319, 416472483, 558722695, 217902617, -827270154, -339107319, + 431841949, -586290861, 229212798, 820624988, -335007540, 431841949, 586290861, 229212798, -820624988, -335007540, + 447786335, -615019650, 241100489, 813828443, -330879528, 447786335, 615019650, 241100489, -813828443, -330879528, + 464326111, -644949597, 253586805, 806879270, -326727141, 464326111, 644949597, 253586805, -806879270, -326727141, + 481482377, -676122557, 266693475, 799776409, -322554559, 481482377, 676122557, 266693475, -799776409, -322554559, + 499276882, -708581728, 280442865, 792519013, -318366296, 499276882, 708581728, 280442865, -792519013, -318366296, + 517732032, -742371685, 294857996, 785106465, -314167221, 517732032, 742371685, 294857996, -785106465, -314167221, + 536870912, -777538408, 309962566, 777538408, -309962566, 536870912, 777538408, 309962566, -777538408, -309962566, + 556717294, -814129313, 325780968, 769814766, -305757943, 556717294, 814129313, 325780968, -769814766, -305757943, + 577295658, -852193284, 342338310, 761935777, -301559360, 577295658, 852193284, 342338310, -761935777, -301559360, + 598631206, -891780698, 359660433, 753902014, -297373230, 598631206, 891780698, 359660433, -753902014, -297373230, + 620749877, -932943463, 377773927, 745714425, -293206383, 620749877, 932943463, 377773927, -745714425, -293206383, + 643678365, -975735041, 396706151, 737374355, -289066077, 643678365, 975735041, 396706151, -737374355, -289066077, + 667444134, -1020210487, 416485252, 728883588, -284960004, 667444134, 1020210487, 416485252, -728883588, -284960004, + 692075438, -1066426476, 437140179, 720244375, -280896294, 692075438, 1066426476, 437140179, -720244375, -280896294, + 717601336, -1114441339, 458700704, 711459472, -276883515, 717601336, 1114441339, 458700704, -711459472, -276883515, + 744051710, -1164315096, 481197437, 702532174, -272930673, 744051710, 1164315096, 481197437, -702532174, -272930673 + +}; + +/* ---------------------------------------------------------------------- +** Desired gains, in dB, per band +** ------------------------------------------------------------------- */ + +int gainDB[5] = {0, -3, 6, 4, -6}; + +float32_t snr; + + +/* ---------------------------------------------------------------------- + * Graphic equalizer Example + * ------------------------------------------------------------------- */ + +int32_t main(void) +{ + float32_t *inputF32, *outputF32; + arm_biquad_cas_df1_32x64_ins_q31 S1; + arm_biquad_cas_df1_32x64_ins_q31 S2; + arm_biquad_casd_df1_inst_q31 S3; + arm_biquad_casd_df1_inst_q31 S4; + arm_biquad_casd_df1_inst_q31 S5; + int i; + int32_t status; + + inputF32 = &testInput_f32[0]; + outputF32 = &testOutput[0]; + + /* Initialize the state and coefficient buffers for all Biquad sections */ + + arm_biquad_cas_df1_32x64_init_q31(&S1, NUMSTAGES, + (q31_t *) &coeffTable[190*0 + 10*(gainDB[0] + 9)], + &biquadStateBand1Q31[0], 2); + + arm_biquad_cas_df1_32x64_init_q31(&S2, NUMSTAGES, + (q31_t *) &coeffTable[190*1 + 10*(gainDB[1] + 9)], + &biquadStateBand2Q31[0], 2); + + arm_biquad_cascade_df1_init_q31(&S3, NUMSTAGES, + (q31_t *) &coeffTable[190*2 + 10*(gainDB[2] + 9)], + &biquadStateBand3Q31[0], 2); + + arm_biquad_cascade_df1_init_q31(&S4, NUMSTAGES, + (q31_t *) &coeffTable[190*3 + 10*(gainDB[3] + 9)], + &biquadStateBand4Q31[0], 2); + + arm_biquad_cascade_df1_init_q31(&S5, NUMSTAGES, + (q31_t *) &coeffTable[190*4 + 10*(gainDB[4] + 9)], + &biquadStateBand5Q31[0], 2); + + + /* Call the process functions and needs to change filter coefficients + for varying the gain of each band */ + + for(i=0; i < NUMBLOCKS; i++) + { + + /* ---------------------------------------------------------------------- + ** Convert block of input data from float to Q31 + ** ------------------------------------------------------------------- */ + + arm_float_to_q31(inputF32 + (i*BLOCKSIZE), inputQ31, BLOCKSIZE); + + /* ---------------------------------------------------------------------- + ** Scale down by 1/8. This provides additional headroom so that the + ** graphic EQ can apply gain. + ** ------------------------------------------------------------------- */ + + arm_scale_q31(inputQ31, 0x7FFFFFFF, -3, inputQ31, BLOCKSIZE); + + /* ---------------------------------------------------------------------- + ** Call the Q31 Biquad Cascade DF1 32x64 process function for band1, band2 + ** ------------------------------------------------------------------- */ + + arm_biquad_cas_df1_32x64_q31(&S1, inputQ31, outputQ31, BLOCKSIZE); + arm_biquad_cas_df1_32x64_q31(&S2, outputQ31, outputQ31, BLOCKSIZE); + + /* ---------------------------------------------------------------------- + ** Call the Q31 Biquad Cascade DF1 process function for band3, band4, band5 + ** ------------------------------------------------------------------- */ + + arm_biquad_cascade_df1_q31(&S3, outputQ31, outputQ31, BLOCKSIZE); + arm_biquad_cascade_df1_q31(&S4, outputQ31, outputQ31, BLOCKSIZE); + arm_biquad_cascade_df1_q31(&S5, outputQ31, outputQ31, BLOCKSIZE); + + /* ---------------------------------------------------------------------- + ** Convert Q31 result back to float + ** ------------------------------------------------------------------- */ + + arm_q31_to_float(outputQ31, outputF32 + (i * BLOCKSIZE), BLOCKSIZE); + + /* ---------------------------------------------------------------------- + ** Scale back up + ** ------------------------------------------------------------------- */ + + arm_scale_f32(outputF32 + (i * BLOCKSIZE), 8.0f, outputF32 + (i * BLOCKSIZE), BLOCKSIZE); + }; + + snr = arm_snr_f32(testRefOutput_f32, testOutput, TESTLENGTH); + + if (snr < SNR_THRESHOLD_F32) + { + status = ARM_MATH_TEST_FAILURE; + } + else + { + status = ARM_MATH_SUCCESS; + } + + /* ---------------------------------------------------------------------- + ** Loop here if the signal does not match the reference output. + ** ------------------------------------------------------------------- */ + + if( status != ARM_MATH_SUCCESS) + { + while(1); + } + + while(1); /* main function does not return */ +} + +/** \endlink */ + + + diff --git a/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/math_helper.c b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/math_helper.c new file mode 100644 index 0000000..dbf2cfe --- /dev/null +++ b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/math_helper.c @@ -0,0 +1,458 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* +* Title: math_helper.c +* +* Description: Definition of all helper functions required. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + +/* ---------------------------------------------------------------------- +* Include standard header files +* -------------------------------------------------------------------- */ +#include<math.h> + +/* ---------------------------------------------------------------------- +* Include project header files +* -------------------------------------------------------------------- */ +#include "math_helper.h" + +/** + * @brief Caluclation of SNR + * @param float* Pointer to the reference buffer + * @param float* Pointer to the test buffer + * @param uint32_t total number of samples + * @return float SNR + * The function Caluclates signal to noise ratio for the reference output + * and test output + */ + +float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize) +{ + float EnergySignal = 0.0, EnergyError = 0.0; + uint32_t i; + float SNR; + int temp; + int *test; + + for (i = 0; i < buffSize; i++) + { + /* Checking for a NAN value in pRef array */ + test = (int *)(&pRef[i]); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + + /* Checking for a NAN value in pTest array */ + test = (int *)(&pTest[i]); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + EnergySignal += pRef[i] * pRef[i]; + EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]); + } + + /* Checking for a NAN value in EnergyError */ + test = (int *)(&EnergyError); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + + + SNR = 10 * log10 (EnergySignal / EnergyError); + + return (SNR); + +} + + +/** + * @brief Provide guard bits for Input buffer + * @param q15_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + +/** + * @brief Converts float to fixed in q12.20 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point(q12.20) values + */ + +void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1048576.0f corresponds to pow(2, 20) */ + pOut[i] = (q31_t) (pIn[i] * 1048576.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 1.0) + { + pOut[i] = 0x000FFFFF; + } + } +} + +/** + * @brief Compare MATLAB Reference Output and ARM Test output + * @param q15_t* Pointer to Ref buffer + * @param q15_t* Pointer to Test buffer + * @param uint32_t number of samples in the buffer + * @return none + */ + +uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples) +{ + uint32_t i; + int32_t diff, diffCrnt = 0; + uint32_t maxDiff = 0; + + for (i = 0; i < numSamples; i++) + { + diff = pIn[i] - pOut[i]; + diffCrnt = (diff > 0) ? diff : -diff; + + if(diffCrnt > maxDiff) + { + maxDiff = diffCrnt; + } + } + + return(maxDiff); +} + +/** + * @brief Compare MATLAB Reference Output and ARM Test output + * @param q31_t* Pointer to Ref buffer + * @param q31_t* Pointer to Test buffer + * @param uint32_t number of samples in the buffer + * @return none + */ + +uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples) +{ + uint32_t i; + int32_t diff, diffCrnt = 0; + uint32_t maxDiff = 0; + + for (i = 0; i < numSamples; i++) + { + diff = pIn[i] - pOut[i]; + diffCrnt = (diff > 0) ? diff : -diff; + + if(diffCrnt > maxDiff) + { + maxDiff = diffCrnt; + } + } + + return(maxDiff); +} + +/** + * @brief Provide guard bits for Input buffer + * @param q31_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q31 (q31_t * input_buf, + uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + +/** + * @brief Provide guard bits for Input buffer + * @param q31_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q7 (q7_t * input_buf, + uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + + + +/** + * @brief Caluclates number of guard bits + * @param uint32_t number of additions + * @return none + * The function Caluclates the number of guard bits + * depending on the numtaps + */ + +uint32_t arm_calc_guard_bits (uint32_t num_adds) +{ + uint32_t i = 1, j = 0; + + if (num_adds == 1) + { + return (0); + } + + while (i < num_adds) + { + i = i * 2; + j++; + } + + return (j); +} + +/** + * @brief Converts Q15 to floating-point + * @param uint32_t number of samples in the buffer + * @return none + */ + +void arm_apply_guard_bits (float32_t * pIn, + uint32_t numSamples, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + pIn[i] = pIn[i] * arm_calc_2pow(guard_bits); + } +} + +/** + * @brief Calculates pow(2, numShifts) + * @param uint32_t number of shifts + * @return pow(2, numShifts) + */ +uint32_t arm_calc_2pow(uint32_t numShifts) +{ + + uint32_t i, val = 1; + + for (i = 0; i < numShifts; i++) + { + val = val * 2; + } + + return(val); +} + + + +/** + * @brief Converts float to fixed q14 + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q14 (float *pIn, q15_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 16384.0f corresponds to pow(2, 14) */ + pOut[i] = (q15_t) (pIn[i] * 16384.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 2.0) + { + pOut[i] = 0x7FFF; + } + + } + +} + + +/** + * @brief Converts float to fixed q30 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q30 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1073741824.0f corresponds to pow(2, 30) */ + pOut[i] = (q31_t) (pIn[i] * 1073741824.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 2.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + +/** + * @brief Converts float to fixed q30 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q29 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1073741824.0f corresponds to pow(2, 30) */ + pOut[i] = (q31_t) (pIn[i] * 536870912.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 4.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + + +/** + * @brief Converts float to fixed q28 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q28 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 268435456.0f corresponds to pow(2, 28) */ + pOut[i] = (q31_t) (pIn[i] * 268435456.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 8.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + +/** + * @brief Clip the float values to +/- 1 + * @param pIn input buffer + * @param numSamples number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_clip_f32 (float *pIn, uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + if(pIn[i] > 1.0f) + { + pIn[i] = 1.0; + } + else if( pIn[i] < -1.0f) + { + pIn[i] = -1.0; + } + + } +} + + + + diff --git a/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/math_helper.h b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/math_helper.h new file mode 100644 index 0000000..46b0af3 --- /dev/null +++ b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/math_helper.h @@ -0,0 +1,63 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2013 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* +* Title: math_helper.h +* +* Description: Prototypes of all helper functions required. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + + +#include "arm_math.h" + +#ifndef MATH_HELPER_H +#define MATH_HELPER_H + +float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize); +void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples); +void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits); +void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits); +void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples); +void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_clip_f32(float *pIn, uint32_t numSamples); +uint32_t arm_calc_guard_bits(uint32_t num_adds); +void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits); +uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples); +uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples); +uint32_t arm_calc_2pow(uint32_t guard_bits); +#endif + diff --git a/DSP_Lib/Examples/arm_linear_interp_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_linear_interp_example/ARM/Abstract.txt new file mode 100644 index 0000000..eef467a --- /dev/null +++ b/DSP_Lib/Examples/arm_linear_interp_example/ARM/Abstract.txt @@ -0,0 +1,4 @@ +CMSIS DSP_Lib example arm_linear_interp_example for + Cortex-M0, Cortex-M3 and Cortex-M4 with FPU + +The example is configured for uVision Simulator diff --git a/DSP_Lib/Examples/arm_linear_interp_example/ARM/arm_linear_interp_data.c b/DSP_Lib/Examples/arm_linear_interp_example/ARM/arm_linear_interp_data.c new file mode 100644 index 0000000..5a53ec6 --- /dev/null +++ b/DSP_Lib/Examples/arm_linear_interp_example/ARM/arm_linear_interp_data.c @@ -0,0 +1,23616 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_linear_interp_data.c +* +* Description: Data file used for example. Generation method described +* below +* +* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. + * -------------------------------------------------------------------- */ + +/* ---------------------------------------------------------------------- +* Table generated from following MATLAB Command +* x = -pi: 0.00005 : (2*pi - 0.00005); +* y = sin(x); +* where pi value is 3.141592653589793 +* --------------------------------------------------------------------*/ + +float arm_linear_interep_table[188495] = { + + +-0.000000000000000122, -0.000049999999979173, -0.000099999999833667, -0.000149999999437717, -0.000199999998666767, -0.000249999997395817, -0.000299999995500311, -0.000349999992854362, +-0.000399999989333412, -0.000449999984812462, -0.000499999979166956, -0.000549999972271007, -0.000599999964000057, -0.000649999954229107, -0.000699999942833602, -0.000749999929687653, +-0.000799999914666704, -0.000849999897645755, -0.000899999878500250, -0.000949999857104302, -0.000999999833333354, -0.001049999807062851, -0.001099999778166904, -0.001149999746520957, +-0.001199999712000011, -0.001249999674479510, -0.001299999633833566, -0.001349999589937622, -0.001399999542666680, -0.001449999491896183, -0.001499999437500243, -0.001549999379354304, +-0.001599999317333367, -0.001649999251312876, -0.001699999181166942, -0.001749999106771011, -0.001799999028000082, -0.001849998944729599, -0.001899998856833675, -0.001949998764187754, +-0.001999998666666836, -0.002049998564146365, -0.002099998456500453, -0.002149998343604546, -0.002199998225334087, -0.002249998101563188, -0.002299997972167294, -0.002349997837021405, +-0.002399997696000966, -0.002449997548980088, -0.002499997395834216, -0.002549997236438351, -0.002599997070667937, -0.002649996898397086, -0.002699996719501243, -0.002749996533855408, +-0.002799996341335026, -0.002849996141814208, -0.002899995935168401, -0.002949995721272604, -0.002999995500002261, -0.003049995271231486, -0.003099995034835722, -0.003149994790690415, +-0.003199994538669677, -0.003249994278648952, -0.003299994010503243, -0.003349993734107991, -0.003399993449337312, -0.003449993156066649, -0.003499992854171003, -0.003549992543525819, +-0.003599992224005209, -0.003649991895484619, -0.003699991557839049, -0.003749991210943944, -0.003799990854673418, -0.003849990488902914, -0.003899990113507434, -0.003949989728362423, +-0.003999989333341993, -0.004049988928321590, -0.004099988513176658, -0.004149988087781312, -0.004199987652010995, -0.004249987205740709, -0.004299986748845899, 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-0.006499954229263430, -0.006549953164871257, -0.006599952084104644, -0.006649950986837708, -0.006699949872945895, -0.006749948742304206, +-0.006799947594788089, -0.006849946430271660, -0.006899945248630365, -0.006949944049739206, -0.006999942833473632, -0.007049941599707755, -0.007099940348317025, -0.007149939079176889, +-0.007199937792161461, -0.007249936487146187, -0.007299935164006074, -0.007349933822616566, -0.007399932462851779, -0.007449931084587162, -0.007499929687697716, -0.007549928272058891, +-0.007599926837544801, -0.007649925384030893, -0.007699923911392173, -0.007749922419504085, -0.007799920908240749, -0.007849919377477610, -0.007899917827089672, -0.007949916256952384, +-0.007999914666939863, -0.008049913056927554, -0.008099911426790906, -0.008149909776404035, -0.008199908105642390, -0.008249906414380975, -0.008299904702495238, -0.008349902969859295, +-0.008399901216348595, -0.008449899441838141, -0.008499897646203384, -0.008549895829318437, -0.008599893991058752, 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---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_linear_interp_example_f32.c +* +* Description: Example code demonstrating usage of sin function +* and uses linear interpolation to get higher precision +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. + * -------------------------------------------------------------------- */ + + +/** + * @ingroup groupExamples + */ + +/** + * @defgroup LinearInterpExample Linear Interpolate Example + * + * <b> CMSIS DSP Software Library -- Linear Interpolate Example </b> + * + * <b> Description </b> + * This example demonstrates usage of linear interpolate modules and fast math modules. + * Method 1 uses fast math sine function to calculate sine values using cubic interpolation and method 2 uses + * linear interpolation function and results are compared to reference output. + * Example shows linear interpolation function can be used to get higher precision compared to fast math sin calculation. + * + * \par Block Diagram: + * \par + * \image html linearInterpExampleMethod1.gif "Method 1: Sine caluclation using fast math" + * \par + * \image html linearInterpExampleMethod2.gif "Method 2: Sine caluclation using interpolation function" + * + * \par Variables Description: + * \par + * \li \c testInputSin_f32 points to the input values for sine calculation + * \li \c testRefSinOutput32_f32 points to the reference values caculated from sin() matlab function + * \li \c testOutput points to output buffer calculation from cubic interpolation + * \li \c testLinIntOutput points to output buffer calculation from linear interpolation + * \li \c snr1 Signal to noise ratio for reference and cubic interpolation output + * \li \c snr2 Signal to noise ratio for reference and linear interpolation output + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_sin_f32() + * - arm_linear_interp_f32() + * + * <b> Refer </b> + * \link arm_linear_interp_example_f32.c \endlink + * + */ + + +/** \example arm_linear_interp_example_f32.c + */ + +#include "arm_math.h" +#include "math_helper.h" + +#define SNR_THRESHOLD 90 +#define TEST_LENGTH_SAMPLES 10 +#define XSPACING (0.00005f) + +/* ---------------------------------------------------------------------- +* Test input data for F32 SIN function +* Generated by the MATLAB rand() function +* randn('state', 0) +* xi = (((1/4.18318581819710)* randn(blockSize, 1) * 2* pi)); +* --------------------------------------------------------------------*/ +float32_t testInputSin_f32[TEST_LENGTH_SAMPLES] = +{ + -0.649716504673081170, -2.501723745497831200, + 0.188250329003310100, 0.432092748487532540, + -1.722010988459680800, 1.788766476323060600, + 1.786136060975809500, -0.056525543169408797, + 0.491596272728153760, 0.262309671126153390 +}; + +/*------------------------------------------------------------------------------ +* Reference out of SIN F32 function for Block Size = 10 +* Calculated from sin(testInputSin_f32) +*------------------------------------------------------------------------------*/ +float32_t testRefSinOutput32_f32[TEST_LENGTH_SAMPLES] = +{ + -0.604960695383043530, -0.597090287967934840, + 0.187140422442966500, 0.418772124875992690, + -0.988588831792106880, 0.976338412038794010, + 0.976903856413481100, -0.056495446835214236, + 0.472033731854734240, 0.259311907228582830 +}; + +/*------------------------------------------------------------------------------ +* Method 1: Test out Buffer Calculated from Cubic Interpolation +*------------------------------------------------------------------------------*/ +float32_t testOutput[TEST_LENGTH_SAMPLES]; + +/*------------------------------------------------------------------------------ +* Method 2: Test out buffer Calculated from Linear Interpolation +*------------------------------------------------------------------------------*/ +float32_t testLinIntOutput[TEST_LENGTH_SAMPLES]; + +/*------------------------------------------------------------------------------ +* External table used for linear interpolation +*------------------------------------------------------------------------------*/ +extern float arm_linear_interep_table[188495]; + +/* ---------------------------------------------------------------------- +* Global Variables for caluclating SNR's for Method1 & Method 2 +* ------------------------------------------------------------------- */ +float32_t snr1; +float32_t snr2; + +/* ---------------------------------------------------------------------------- +* Calculation of Sine values from Cubic Interpolation and Linear interpolation +* ---------------------------------------------------------------------------- */ +int32_t main(void) +{ + uint32_t i; + arm_status status; + + arm_linear_interp_instance_f32 S = {188495, -3.141592653589793238, XSPACING, &arm_linear_interep_table[0]}; + + /*------------------------------------------------------------------------------ + * Method 1: Test out Calculated from Cubic Interpolation + *------------------------------------------------------------------------------*/ + for(i=0; i< TEST_LENGTH_SAMPLES; i++) + { + testOutput[i] = arm_sin_f32(testInputSin_f32[i]); + } + + /*------------------------------------------------------------------------------ + * Method 2: Test out Calculated from Cubic Interpolation and Linear interpolation + *------------------------------------------------------------------------------*/ + + for(i=0; i< TEST_LENGTH_SAMPLES; i++) + { + testLinIntOutput[i] = arm_linear_interp_f32(&S, testInputSin_f32[i]); + } + + /*------------------------------------------------------------------------------ + * SNR calculation for method 1 + *------------------------------------------------------------------------------*/ + snr1 = arm_snr_f32(testRefSinOutput32_f32, testOutput, 2); + + /*------------------------------------------------------------------------------ + * SNR calculation for method 2 + *------------------------------------------------------------------------------*/ + snr2 = arm_snr_f32(testRefSinOutput32_f32, testLinIntOutput, 2); + + /*------------------------------------------------------------------------------ + * Initialise status depending on SNR calculations + *------------------------------------------------------------------------------*/ + if( snr2 > snr1) + { + status = ARM_MATH_SUCCESS; + } + else + { + status = ARM_MATH_TEST_FAILURE; + } + + /* ---------------------------------------------------------------------- + ** Loop here if the signals fail the PASS check. + ** This denotes a test failure + ** ------------------------------------------------------------------- */ + if( status != ARM_MATH_SUCCESS) + { + while(1); + } + + while(1); /* main function does not return */ +} + + /** \endlink */ diff --git a/DSP_Lib/Examples/arm_linear_interp_example/ARM/math_helper.c b/DSP_Lib/Examples/arm_linear_interp_example/ARM/math_helper.c new file mode 100644 index 0000000..dbf2cfe --- /dev/null +++ b/DSP_Lib/Examples/arm_linear_interp_example/ARM/math_helper.c @@ -0,0 +1,458 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* +* Title: math_helper.c +* +* Description: Definition of all helper functions required. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + +/* ---------------------------------------------------------------------- +* Include standard header files +* -------------------------------------------------------------------- */ +#include<math.h> + +/* ---------------------------------------------------------------------- +* Include project header files +* -------------------------------------------------------------------- */ +#include "math_helper.h" + +/** + * @brief Caluclation of SNR + * @param float* Pointer to the reference buffer + * @param float* Pointer to the test buffer + * @param uint32_t total number of samples + * @return float SNR + * The function Caluclates signal to noise ratio for the reference output + * and test output + */ + +float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize) +{ + float EnergySignal = 0.0, EnergyError = 0.0; + uint32_t i; + float SNR; + int temp; + int *test; + + for (i = 0; i < buffSize; i++) + { + /* Checking for a NAN value in pRef array */ + test = (int *)(&pRef[i]); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + + /* Checking for a NAN value in pTest array */ + test = (int *)(&pTest[i]); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + EnergySignal += pRef[i] * pRef[i]; + EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]); + } + + /* Checking for a NAN value in EnergyError */ + test = (int *)(&EnergyError); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + + + SNR = 10 * log10 (EnergySignal / EnergyError); + + return (SNR); + +} + + +/** + * @brief Provide guard bits for Input buffer + * @param q15_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + +/** + * @brief Converts float to fixed in q12.20 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point(q12.20) values + */ + +void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1048576.0f corresponds to pow(2, 20) */ + pOut[i] = (q31_t) (pIn[i] * 1048576.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 1.0) + { + pOut[i] = 0x000FFFFF; + } + } +} + +/** + * @brief Compare MATLAB Reference Output and ARM Test output + * @param q15_t* Pointer to Ref buffer + * @param q15_t* Pointer to Test buffer + * @param uint32_t number of samples in the buffer + * @return none + */ + +uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples) +{ + uint32_t i; + int32_t diff, diffCrnt = 0; + uint32_t maxDiff = 0; + + for (i = 0; i < numSamples; i++) + { + diff = pIn[i] - pOut[i]; + diffCrnt = (diff > 0) ? diff : -diff; + + if(diffCrnt > maxDiff) + { + maxDiff = diffCrnt; + } + } + + return(maxDiff); +} + +/** + * @brief Compare MATLAB Reference Output and ARM Test output + * @param q31_t* Pointer to Ref buffer + * @param q31_t* Pointer to Test buffer + * @param uint32_t number of samples in the buffer + * @return none + */ + +uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples) +{ + uint32_t i; + int32_t diff, diffCrnt = 0; + uint32_t maxDiff = 0; + + for (i = 0; i < numSamples; i++) + { + diff = pIn[i] - pOut[i]; + diffCrnt = (diff > 0) ? diff : -diff; + + if(diffCrnt > maxDiff) + { + maxDiff = diffCrnt; + } + } + + return(maxDiff); +} + +/** + * @brief Provide guard bits for Input buffer + * @param q31_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q31 (q31_t * input_buf, + uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + +/** + * @brief Provide guard bits for Input buffer + * @param q31_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q7 (q7_t * input_buf, + uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + + + +/** + * @brief Caluclates number of guard bits + * @param uint32_t number of additions + * @return none + * The function Caluclates the number of guard bits + * depending on the numtaps + */ + +uint32_t arm_calc_guard_bits (uint32_t num_adds) +{ + uint32_t i = 1, j = 0; + + if (num_adds == 1) + { + return (0); + } + + while (i < num_adds) + { + i = i * 2; + j++; + } + + return (j); +} + +/** + * @brief Converts Q15 to floating-point + * @param uint32_t number of samples in the buffer + * @return none + */ + +void arm_apply_guard_bits (float32_t * pIn, + uint32_t numSamples, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + pIn[i] = pIn[i] * arm_calc_2pow(guard_bits); + } +} + +/** + * @brief Calculates pow(2, numShifts) + * @param uint32_t number of shifts + * @return pow(2, numShifts) + */ +uint32_t arm_calc_2pow(uint32_t numShifts) +{ + + uint32_t i, val = 1; + + for (i = 0; i < numShifts; i++) + { + val = val * 2; + } + + return(val); +} + + + +/** + * @brief Converts float to fixed q14 + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q14 (float *pIn, q15_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 16384.0f corresponds to pow(2, 14) */ + pOut[i] = (q15_t) (pIn[i] * 16384.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 2.0) + { + pOut[i] = 0x7FFF; + } + + } + +} + + +/** + * @brief Converts float to fixed q30 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q30 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1073741824.0f corresponds to pow(2, 30) */ + pOut[i] = (q31_t) (pIn[i] * 1073741824.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 2.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + +/** + * @brief Converts float to fixed q30 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q29 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1073741824.0f corresponds to pow(2, 30) */ + pOut[i] = (q31_t) (pIn[i] * 536870912.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 4.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + + +/** + * @brief Converts float to fixed q28 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q28 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 268435456.0f corresponds to pow(2, 28) */ + pOut[i] = (q31_t) (pIn[i] * 268435456.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 8.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + +/** + * @brief Clip the float values to +/- 1 + * @param pIn input buffer + * @param numSamples number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_clip_f32 (float *pIn, uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + if(pIn[i] > 1.0f) + { + pIn[i] = 1.0; + } + else if( pIn[i] < -1.0f) + { + pIn[i] = -1.0; + } + + } +} + + + + diff --git a/DSP_Lib/Examples/arm_linear_interp_example/ARM/math_helper.h b/DSP_Lib/Examples/arm_linear_interp_example/ARM/math_helper.h new file mode 100644 index 0000000..46b0af3 --- /dev/null +++ b/DSP_Lib/Examples/arm_linear_interp_example/ARM/math_helper.h @@ -0,0 +1,63 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2013 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* +* Title: math_helper.h +* +* Description: Prototypes of all helper functions required. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + + +#include "arm_math.h" + +#ifndef MATH_HELPER_H +#define MATH_HELPER_H + +float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize); +void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples); +void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits); +void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits); +void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples); +void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_clip_f32(float *pIn, uint32_t numSamples); +uint32_t arm_calc_guard_bits(uint32_t num_adds); +void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits); +uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples); +uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples); +uint32_t arm_calc_2pow(uint32_t guard_bits); +#endif + diff --git a/DSP_Lib/Examples/arm_matrix_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_matrix_example/ARM/Abstract.txt new file mode 100644 index 0000000..36357bf --- /dev/null +++ b/DSP_Lib/Examples/arm_matrix_example/ARM/Abstract.txt @@ -0,0 +1,4 @@ +CMSIS DSP_Lib example arm_matrix_example for + Cortex-M0, Cortex-M3 and Cortex-M4 with FPU + +The example is configured for uVision Simulator diff --git a/DSP_Lib/Examples/arm_matrix_example/ARM/arm_matrix_example_f32.c b/DSP_Lib/Examples/arm_matrix_example/ARM/arm_matrix_example_f32.c new file mode 100644 index 0000000..7696b41 --- /dev/null +++ b/DSP_Lib/Examples/arm_matrix_example/ARM/arm_matrix_example_f32.c @@ -0,0 +1,233 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_matrix_example_f32.c +* +* Description: Example code demonstrating least square fit to data +* using matrix functions +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. + * -------------------------------------------------------------------- */ + +/** + * @ingroup groupExamples + */ + +/** + * @defgroup MatrixExample Matrix Example + * + * \par Description: + * \par + * Demonstrates the use of Matrix Transpose, Matrix Muliplication, and Matrix Inverse + * functions to apply least squares fitting to input data. Least squares fitting is + * the procedure for finding the best-fitting curve that minimizes the sum of the + * squares of the offsets (least square error) from a given set of data. + * + * \par Algorithm: + * \par + * The linear combination of parameters considered is as follows: + * \par + * <code>A * X = B</code>, where \c X is the unknown value and can be estimated + * from \c A & \c B. + * \par + * The least squares estimate \c X is given by the following equation: + * \par + * <code>X = Inverse(A<sup>T</sup> * A) * A<sup>T</sup> * B</code> + * + * \par Block Diagram: + * \par + * \image html matrixExample.gif + * + * \par Variables Description: + * \par + * \li \c A_f32 input matrix in the linear combination equation + * \li \c B_f32 output matrix in the linear combination equation + * \li \c X_f32 unknown matrix estimated using \c A_f32 & \c B_f32 matrices + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_mat_init_f32() + * - arm_mat_trans_f32() + * - arm_mat_mult_f32() + * - arm_mat_inverse_f32() + * + * <b> Refer </b> + * \link arm_matrix_example_f32.c \endlink + * + */ + + +/** \example arm_matrix_example_f32.c + */ + +#include "arm_math.h" +#include "math_helper.h" + +#define SNR_THRESHOLD 90 + +/* -------------------------------------------------------------------------------- +* Test input data(Cycles) taken from FIR Q15 module for differant cases of blockSize +* and tapSize +* --------------------------------------------------------------------------------- */ + +const float32_t B_f32[4] = +{ + 782.0, 7577.0, 470.0, 4505.0 +}; + +/* -------------------------------------------------------------------------------- +* Formula to fit is C1 + C2 * numTaps + C3 * blockSize + C4 * numTaps * blockSize +* -------------------------------------------------------------------------------- */ + +const float32_t A_f32[16] = +{ + /* Const, numTaps, blockSize, numTaps*blockSize */ + 1.0, 32.0, 4.0, 128.0, + 1.0, 32.0, 64.0, 2048.0, + 1.0, 16.0, 4.0, 64.0, + 1.0, 16.0, 64.0, 1024.0, +}; + + +/* ---------------------------------------------------------------------- +* Temporary buffers for storing intermediate values +* ------------------------------------------------------------------- */ +/* Transpose of A Buffer */ +float32_t AT_f32[16]; +/* (Transpose of A * A) Buffer */ +float32_t ATMA_f32[16]; +/* Inverse(Transpose of A * A) Buffer */ +float32_t ATMAI_f32[16]; +/* Test Output Buffer */ +float32_t X_f32[4]; + +/* ---------------------------------------------------------------------- +* Reference ouput buffer C1, C2, C3 and C4 taken from MATLAB +* ------------------------------------------------------------------- */ +const float32_t xRef_f32[4] = {73.0, 8.0, 21.25, 2.875}; + +float32_t snr; + + +/* ---------------------------------------------------------------------- +* Max magnitude FFT Bin test +* ------------------------------------------------------------------- */ + +int32_t main(void) +{ + + arm_matrix_instance_f32 A; /* Matrix A Instance */ + arm_matrix_instance_f32 AT; /* Matrix AT(A transpose) instance */ + arm_matrix_instance_f32 ATMA; /* Matrix ATMA( AT multiply with A) instance */ + arm_matrix_instance_f32 ATMAI; /* Matrix ATMAI(Inverse of ATMA) instance */ + arm_matrix_instance_f32 B; /* Matrix B instance */ + arm_matrix_instance_f32 X; /* Matrix X(Unknown Matrix) instance */ + + uint32_t srcRows, srcColumns; /* Temporary variables */ + arm_status status; + + /* Initialise A Matrix Instance with numRows, numCols and data array(A_f32) */ + srcRows = 4; + srcColumns = 4; + arm_mat_init_f32(&A, srcRows, srcColumns, (float32_t *)A_f32); + + /* Initialise Matrix Instance AT with numRows, numCols and data array(AT_f32) */ + srcRows = 4; + srcColumns = 4; + arm_mat_init_f32(&AT, srcRows, srcColumns, AT_f32); + + /* calculation of A transpose */ + status = arm_mat_trans_f32(&A, &AT); + + + /* Initialise ATMA Matrix Instance with numRows, numCols and data array(ATMA_f32) */ + srcRows = 4; + srcColumns = 4; + arm_mat_init_f32(&ATMA, srcRows, srcColumns, ATMA_f32); + + /* calculation of AT Multiply with A */ + status = arm_mat_mult_f32(&AT, &A, &ATMA); + + /* Initialise ATMAI Matrix Instance with numRows, numCols and data array(ATMAI_f32) */ + srcRows = 4; + srcColumns = 4; + arm_mat_init_f32(&ATMAI, srcRows, srcColumns, ATMAI_f32); + + /* calculation of Inverse((Transpose(A) * A) */ + status = arm_mat_inverse_f32(&ATMA, &ATMAI); + + /* calculation of (Inverse((Transpose(A) * A)) * Transpose(A)) */ + status = arm_mat_mult_f32(&ATMAI, &AT, &ATMA); + + /* Initialise B Matrix Instance with numRows, numCols and data array(B_f32) */ + srcRows = 4; + srcColumns = 1; + arm_mat_init_f32(&B, srcRows, srcColumns, (float32_t *)B_f32); + + /* Initialise X Matrix Instance with numRows, numCols and data array(X_f32) */ + srcRows = 4; + srcColumns = 1; + arm_mat_init_f32(&X, srcRows, srcColumns, X_f32); + + /* calculation ((Inverse((Transpose(A) * A)) * Transpose(A)) * B) */ + status = arm_mat_mult_f32(&ATMA, &B, &X); + + /* Comparison of reference with test output */ + snr = arm_snr_f32((float32_t *)xRef_f32, X_f32, 4); + + /*------------------------------------------------------------------------------ + * Initialise status depending on SNR calculations + *------------------------------------------------------------------------------*/ + if( snr > SNR_THRESHOLD) + { + status = ARM_MATH_SUCCESS; + } + else + { + status = ARM_MATH_TEST_FAILURE; + } + + + /* ---------------------------------------------------------------------- + ** Loop here if the signals fail the PASS check. + ** This denotes a test failure + ** ------------------------------------------------------------------- */ + if( status != ARM_MATH_SUCCESS) + { + while(1); + } + + while(1); /* main function does not return */ +} + + /** \endlink */ diff --git a/DSP_Lib/Examples/arm_matrix_example/ARM/math_helper.c b/DSP_Lib/Examples/arm_matrix_example/ARM/math_helper.c new file mode 100644 index 0000000..dbf2cfe --- /dev/null +++ b/DSP_Lib/Examples/arm_matrix_example/ARM/math_helper.c @@ -0,0 +1,458 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* +* Title: math_helper.c +* +* Description: Definition of all helper functions required. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + +/* ---------------------------------------------------------------------- +* Include standard header files +* -------------------------------------------------------------------- */ +#include<math.h> + +/* ---------------------------------------------------------------------- +* Include project header files +* -------------------------------------------------------------------- */ +#include "math_helper.h" + +/** + * @brief Caluclation of SNR + * @param float* Pointer to the reference buffer + * @param float* Pointer to the test buffer + * @param uint32_t total number of samples + * @return float SNR + * The function Caluclates signal to noise ratio for the reference output + * and test output + */ + +float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize) +{ + float EnergySignal = 0.0, EnergyError = 0.0; + uint32_t i; + float SNR; + int temp; + int *test; + + for (i = 0; i < buffSize; i++) + { + /* Checking for a NAN value in pRef array */ + test = (int *)(&pRef[i]); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + + /* Checking for a NAN value in pTest array */ + test = (int *)(&pTest[i]); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + EnergySignal += pRef[i] * pRef[i]; + EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]); + } + + /* Checking for a NAN value in EnergyError */ + test = (int *)(&EnergyError); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + + + SNR = 10 * log10 (EnergySignal / EnergyError); + + return (SNR); + +} + + +/** + * @brief Provide guard bits for Input buffer + * @param q15_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + +/** + * @brief Converts float to fixed in q12.20 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point(q12.20) values + */ + +void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1048576.0f corresponds to pow(2, 20) */ + pOut[i] = (q31_t) (pIn[i] * 1048576.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 1.0) + { + pOut[i] = 0x000FFFFF; + } + } +} + +/** + * @brief Compare MATLAB Reference Output and ARM Test output + * @param q15_t* Pointer to Ref buffer + * @param q15_t* Pointer to Test buffer + * @param uint32_t number of samples in the buffer + * @return none + */ + +uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples) +{ + uint32_t i; + int32_t diff, diffCrnt = 0; + uint32_t maxDiff = 0; + + for (i = 0; i < numSamples; i++) + { + diff = pIn[i] - pOut[i]; + diffCrnt = (diff > 0) ? diff : -diff; + + if(diffCrnt > maxDiff) + { + maxDiff = diffCrnt; + } + } + + return(maxDiff); +} + +/** + * @brief Compare MATLAB Reference Output and ARM Test output + * @param q31_t* Pointer to Ref buffer + * @param q31_t* Pointer to Test buffer + * @param uint32_t number of samples in the buffer + * @return none + */ + +uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples) +{ + uint32_t i; + int32_t diff, diffCrnt = 0; + uint32_t maxDiff = 0; + + for (i = 0; i < numSamples; i++) + { + diff = pIn[i] - pOut[i]; + diffCrnt = (diff > 0) ? diff : -diff; + + if(diffCrnt > maxDiff) + { + maxDiff = diffCrnt; + } + } + + return(maxDiff); +} + +/** + * @brief Provide guard bits for Input buffer + * @param q31_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q31 (q31_t * input_buf, + uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + +/** + * @brief Provide guard bits for Input buffer + * @param q31_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q7 (q7_t * input_buf, + uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + + + +/** + * @brief Caluclates number of guard bits + * @param uint32_t number of additions + * @return none + * The function Caluclates the number of guard bits + * depending on the numtaps + */ + +uint32_t arm_calc_guard_bits (uint32_t num_adds) +{ + uint32_t i = 1, j = 0; + + if (num_adds == 1) + { + return (0); + } + + while (i < num_adds) + { + i = i * 2; + j++; + } + + return (j); +} + +/** + * @brief Converts Q15 to floating-point + * @param uint32_t number of samples in the buffer + * @return none + */ + +void arm_apply_guard_bits (float32_t * pIn, + uint32_t numSamples, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + pIn[i] = pIn[i] * arm_calc_2pow(guard_bits); + } +} + +/** + * @brief Calculates pow(2, numShifts) + * @param uint32_t number of shifts + * @return pow(2, numShifts) + */ +uint32_t arm_calc_2pow(uint32_t numShifts) +{ + + uint32_t i, val = 1; + + for (i = 0; i < numShifts; i++) + { + val = val * 2; + } + + return(val); +} + + + +/** + * @brief Converts float to fixed q14 + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q14 (float *pIn, q15_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 16384.0f corresponds to pow(2, 14) */ + pOut[i] = (q15_t) (pIn[i] * 16384.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 2.0) + { + pOut[i] = 0x7FFF; + } + + } + +} + + +/** + * @brief Converts float to fixed q30 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q30 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1073741824.0f corresponds to pow(2, 30) */ + pOut[i] = (q31_t) (pIn[i] * 1073741824.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 2.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + +/** + * @brief Converts float to fixed q30 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q29 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1073741824.0f corresponds to pow(2, 30) */ + pOut[i] = (q31_t) (pIn[i] * 536870912.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 4.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + + +/** + * @brief Converts float to fixed q28 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q28 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 268435456.0f corresponds to pow(2, 28) */ + pOut[i] = (q31_t) (pIn[i] * 268435456.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 8.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + +/** + * @brief Clip the float values to +/- 1 + * @param pIn input buffer + * @param numSamples number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_clip_f32 (float *pIn, uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + if(pIn[i] > 1.0f) + { + pIn[i] = 1.0; + } + else if( pIn[i] < -1.0f) + { + pIn[i] = -1.0; + } + + } +} + + + + diff --git a/DSP_Lib/Examples/arm_matrix_example/ARM/math_helper.h b/DSP_Lib/Examples/arm_matrix_example/ARM/math_helper.h new file mode 100644 index 0000000..46b0af3 --- /dev/null +++ b/DSP_Lib/Examples/arm_matrix_example/ARM/math_helper.h @@ -0,0 +1,63 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2013 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* +* Title: math_helper.h +* +* Description: Prototypes of all helper functions required. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + + +#include "arm_math.h" + +#ifndef MATH_HELPER_H +#define MATH_HELPER_H + +float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize); +void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples); +void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits); +void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits); +void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples); +void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_clip_f32(float *pIn, uint32_t numSamples); +uint32_t arm_calc_guard_bits(uint32_t num_adds); +void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits); +uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples); +uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples); +uint32_t arm_calc_2pow(uint32_t guard_bits); +#endif + diff --git a/DSP_Lib/Examples/arm_signal_converge_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_signal_converge_example/ARM/Abstract.txt new file mode 100644 index 0000000..d246eb8 --- /dev/null +++ b/DSP_Lib/Examples/arm_signal_converge_example/ARM/Abstract.txt @@ -0,0 +1,4 @@ +CMSIS DSP_Lib example arm_signal_converge_example for + Cortex-M0, Cortex-M3 and Cortex-M4 with FPU + +The example is configured for uVision Simulator diff --git a/DSP_Lib/Examples/arm_signal_converge_example/ARM/arm_signal_converge_data.c b/DSP_Lib/Examples/arm_signal_converge_example/ARM/arm_signal_converge_data.c new file mode 100644 index 0000000..ddb1278 --- /dev/null +++ b/DSP_Lib/Examples/arm_signal_converge_example/ARM/arm_signal_converge_data.c @@ -0,0 +1,269 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_signal_converge_data.c +* +* Description: Test input data for Floating point LMS Norm FIR filter +* +* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + +#include "arm_math.h" + +/* ---------------------------------------------------------------------- +** Test input data for Floating point LMS Norm FIR filter +** Generated by the MATLAB randn() function +** ------------------------------------------------------------------- */ + +float32_t testInput_f32[1536] = +{ +-0.432565, -1.665584, 0.125332, 0.287676, -1.146471, 1.190915, 1.189164, -0.037633, +0.327292, 0.174639, -0.186709, 0.725791, -0.588317, 2.183186, -0.136396, 0.113931, +1.066768, 0.059281, -0.095648, -0.832349, 0.294411, -1.336182, 0.714325, 1.623562, +-0.691776, 0.857997, 1.254001, -1.593730, -1.440964, 0.571148, -0.399886, 0.689997, +0.815622, 0.711908, 1.290250, 0.668601, 1.190838, -1.202457, -0.019790, -0.156717, +-1.604086, 0.257304, -1.056473, 1.415141, -0.805090, 0.528743, 0.219321, -0.921902, +-2.170674, -0.059188, -1.010634, 0.614463, 0.507741, 1.692430, 0.591283, -0.643595, +0.380337, -1.009116, -0.019511, -0.048221, 0.000043, -0.317859, 1.095004, -1.873990, +0.428183, 0.895638, 0.730957, 0.577857, 0.040314, 0.677089, 0.568900, -0.255645, +-0.377469, -0.295887, -1.475135, -0.234004, 0.118445, 0.314809, 1.443508, -0.350975, +0.623234, 0.799049, 0.940890, -0.992092, 0.212035, 0.237882, -1.007763, -0.742045, +1.082295, -0.131500, 0.389880, 0.087987, -0.635465, -0.559573, 0.443653, -0.949904, +0.781182, 0.568961, -0.821714, -0.265607, -1.187777, -2.202321, 0.986337, -0.518635, +0.327368, 0.234057, 0.021466, -1.003944, -0.947146, -0.374429, -1.185886, -1.055903, +1.472480, 0.055744, -1.217317, -0.041227, -1.128344, -1.349278, -0.261102, 0.953465, +0.128644, 0.656468, -1.167819, -0.460605, -0.262440, -1.213152, -1.319437, 0.931218, +0.011245, -0.645146, 0.805729, 0.231626, -0.989760, 1.339586, 0.289502, 1.478917, +1.138028, -0.684139, -1.291936, -0.072926, -0.330599, -0.843628, 0.497770, 1.488490, +-0.546476, -0.846758, -0.246337, 0.663024, -0.854197, -1.201315, -0.119869, -0.065294, +0.485296, -0.595491, -0.149668, -0.434752, -0.079330, 1.535152, -0.606483, -1.347363, +0.469383, -0.903567, 0.035880, -0.627531, 0.535398, 0.552884, -0.203690, -2.054325, +0.132561, 1.592941, 1.018412, -1.580402, -0.078662, -0.681657, -1.024553, -1.234353, +0.288807, -0.429303, 0.055801, -0.367874, -0.464973, 0.370961, 0.728283, 2.112160, +-1.357298, -1.022610, 1.037834, -0.389800, -1.381266, 0.315543, 1.553243, 0.707894, +1.957385, 0.504542, 1.864529, -0.339812, -1.139779, -0.211123, 1.190245, -1.116209, +0.635274, -0.601412, 0.551185, -1.099840, 0.085991, -2.004563, -0.493088, 0.462048, +-0.321005, 1.236556, -0.631280, -2.325211, -1.231637, 1.055648, -0.113224, 0.379224, +0.944200, -2.120427, -0.644679, -0.704302, -1.018137, -0.182082, 1.521013, -0.038439, +1.227448, -0.696205, 0.007524, -0.782893, 0.586939, -0.251207, 0.480136, 0.668155, +-0.078321, 0.889173, 2.309287, 0.524639, -0.011787, 0.913141, 0.055941, -1.107070, +0.485498, -0.005005, -0.276218, 1.276452, 1.863401, -0.522559, 0.103424, -0.807649, +0.680439, -2.364590, 0.990115, 0.218899, 0.261662, 1.213444, -0.274667, -0.133134, +-1.270500, -1.663606, -0.703554, 0.280880, -0.541209, -1.333531, 1.072686, -0.712085, +-0.011286, -0.000817, -0.249436, 0.396575, -0.264013, -1.664011, -1.028975, 0.243095, +-1.256590, -0.347183, -0.941372, -1.174560, -1.021142, -0.401667, 0.173666, -0.116118, +1.064119, -0.245386, -1.517539, 0.009734, 0.071373, 0.316536, 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-1.634939, -0.536325, 0.547223, 1.492603, -0.455243, -0.496416, 1.235260, +0.040926, 0.748467, 1.230764, 0.304903, 1.077771, 0.765151, -1.319580, -0.509191, +0.555116, -1.957625, -0.760453, -2.443886, -0.659366, -0.114779, 0.300079, -0.583996, +-3.073745, 1.551042, -0.407369, 1.428095, -1.353242, 0.903970, 0.541671, -0.465020 +}; + + + +/* ---------------------------------------------------------------------- +** Coefficients for 32-tap filter for Floating point LMS FIR filter +* FIR high pass filter with cutoff freq 9.6kHz (transition 9.6KHz to 11.52KHz) +** ------------------------------------------------------------------- */ +float32_t lmsNormCoeff_f32[32] = { +-0.004240, 0.002301, 0.008860, -0.000000, -0.019782, -0.010543, 0.032881, 0.034736, +-0.037374, -0.069586, 0.022397, 0.102169, 0.014185, -0.115908, -0.061648, 0.101018, +0.101018, -0.061648, -0.115908, 0.014185, 0.102169, 0.022397, -0.069586, -0.037374, +0.034736, 0.032881, -0.010543, -0.019782, -0.000000, 0.008860, 0.002301, -0.004240 + +}; + +/* ---------------------------------------------------------------------- +** Coefficients for 32-tap filter for Floating point FIR filter +* FIR low pass filter with cutoff freq 24Hz (transition 24Hz to 240Hz) +** ------------------------------------------------------------------- */ +const float32_t FIRCoeff_f32[32] = { +0.004502, 0.005074, 0.006707, 0.009356, 0.012933, 0.017303, 0.022298, 0.027717, +0.033338, 0.038930, 0.044258, 0.049098, 0.053243, 0.056519, 0.058784, 0.059941, +0.059941, 0.058784, 0.056519, 0.053243, 0.049098, 0.044258, 0.038930, 0.033338, +0.027717, 0.022298, 0.017303, 0.012933, 0.009356, 0.006707, 0.005074, 0.004502 + +}; + diff --git a/DSP_Lib/Examples/arm_signal_converge_example/ARM/arm_signal_converge_example_f32.c b/DSP_Lib/Examples/arm_signal_converge_example/ARM/arm_signal_converge_example_f32.c new file mode 100644 index 0000000..983b6bf --- /dev/null +++ b/DSP_Lib/Examples/arm_signal_converge_example/ARM/arm_signal_converge_example_f32.c @@ -0,0 +1,259 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_signal_converge_example_f32.c +* +* Description: Example code demonstrating convergence of an adaptive +* filter. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. + * -------------------------------------------------------------------- */ + +/** + * @ingroup groupExamples + */ + +/** + * @defgroup SignalConvergence Signal Convergence Example + * + * \par Description: + * \par + * Demonstrates the ability of an adaptive filter to "learn" the transfer function of + * a FIR lowpass filter using the Normalized LMS Filter, Finite Impulse + * Response (FIR) Filter, and Basic Math Functions. + * + * \par Algorithm: + * \par + * The figure below illustrates the signal flow in this example. Uniformly distributed white + * noise is passed through an FIR lowpass filter. The output of the FIR filter serves as the + * reference input of the adaptive filter (normalized LMS filter). The white noise is input + * to the adaptive filter. The adaptive filter learns the transfer function of the FIR filter. + * The filter outputs two signals: (1) the output of the internal adaptive FIR filter, and + * (2) the error signal which is the difference between the adaptive filter and the reference + * output of the FIR filter. Over time as the adaptive filter learns the transfer function + * of the FIR filter, the first output approaches the reference output of the FIR filter, + * and the error signal approaches zero. + * \par + * The adaptive filter converges properly even if the input signal has a large dynamic + * range (i.e., varies from small to large values). The coefficients of the adaptive filter + * are initially zero, and then converge over 1536 samples. The internal function test_signal_converge() + * implements the stopping condition. The function checks if all of the values of the error signal have a + * magnitude below a threshold DELTA. + * + * \par Block Diagram: + * \par + * \image html SignalFlow.gif + * + * + * \par Variables Description: + * \par + * \li \c testInput_f32 points to the input data + * \li \c firStateF32 points to FIR state buffer + * \li \c lmsStateF32 points to Normalised Least mean square FIR filter state buffer + * \li \c FIRCoeff_f32 points to coefficient buffer + * \li \c lmsNormCoeff_f32 points to Normalised Least mean square FIR filter coefficient buffer + * \li \c wire1, wir2, wire3 temporary buffers + * \li \c errOutput, err_signal temporary error buffers + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_lms_norm_init_f32() + * - arm_fir_init_f32() + * - arm_fir_f32() + * - arm_lms_norm_f32() + * - arm_scale_f32() + * - arm_abs_f32() + * - arm_sub_f32() + * - arm_min_f32() + * - arm_copy_f32() + * + * <b> Refer </b> + * \link arm_signal_converge_example_f32.c \endlink + * + */ + + +/** \example arm_signal_converge_example_f32.c + */ + +#include "arm_math.h" +#include "math_helper.h" + +/* ---------------------------------------------------------------------- +** Global defines for the simulation +* ------------------------------------------------------------------- */ + +#define TEST_LENGTH_SAMPLES 1536 +#define NUMTAPS 32 +#define BLOCKSIZE 32 +#define DELTA_ERROR 0.000001f +#define DELTA_COEFF 0.0001f +#define MU 0.5f + +#define NUMFRAMES (TEST_LENGTH_SAMPLES / BLOCKSIZE) + +/* ---------------------------------------------------------------------- +* Declare FIR state buffers and structure +* ------------------------------------------------------------------- */ + +float32_t firStateF32[NUMTAPS + BLOCKSIZE]; +arm_fir_instance_f32 LPF_instance; + +/* ---------------------------------------------------------------------- +* Declare LMSNorm state buffers and structure +* ------------------------------------------------------------------- */ + +float32_t lmsStateF32[NUMTAPS + BLOCKSIZE]; +float32_t errOutput[TEST_LENGTH_SAMPLES]; +arm_lms_norm_instance_f32 lmsNorm_instance; + + +/* ---------------------------------------------------------------------- +* Function Declarations for Signal Convergence Example +* ------------------------------------------------------------------- */ + +arm_status test_signal_converge_example( void ); + + +/* ---------------------------------------------------------------------- +* Internal functions +* ------------------------------------------------------------------- */ +arm_status test_signal_converge(float32_t* err_signal, + uint32_t blockSize); + +void getinput(float32_t* input, + uint32_t fr_cnt, + uint32_t blockSize); + +/* ---------------------------------------------------------------------- +* External Declarations for FIR F32 module Test +* ------------------------------------------------------------------- */ +extern float32_t testInput_f32[TEST_LENGTH_SAMPLES]; +extern float32_t lmsNormCoeff_f32[32]; +extern const float32_t FIRCoeff_f32[32]; +extern arm_lms_norm_instance_f32 lmsNorm_instance; + +/* ---------------------------------------------------------------------- +* Declare I/O buffers +* ------------------------------------------------------------------- */ + +float32_t wire1[BLOCKSIZE]; +float32_t wire2[BLOCKSIZE]; +float32_t wire3[BLOCKSIZE]; +float32_t err_signal[BLOCKSIZE]; + +/* ---------------------------------------------------------------------- +* Signal converge test +* ------------------------------------------------------------------- */ + +int32_t main(void) +{ + uint32_t i; + arm_status status; + uint32_t index; + float32_t minValue; + + /* Initialize the LMSNorm data structure */ + arm_lms_norm_init_f32(&lmsNorm_instance, NUMTAPS, lmsNormCoeff_f32, lmsStateF32, MU, BLOCKSIZE); + + /* Initialize the FIR data structure */ + arm_fir_init_f32(&LPF_instance, NUMTAPS, (float32_t *)FIRCoeff_f32, firStateF32, BLOCKSIZE); + + /* ---------------------------------------------------------------------- + * Loop over the frames of data and execute each of the processing + * functions in the system. + * ------------------------------------------------------------------- */ + + for(i=0; i < NUMFRAMES; i++) + { + /* Read the input data - uniformly distributed random noise - into wire1 */ + arm_copy_f32(testInput_f32 + (i * BLOCKSIZE), wire1, BLOCKSIZE); + + /* Execute the FIR processing function. Input wire1 and output wire2 */ + arm_fir_f32(&LPF_instance, wire1, wire2, BLOCKSIZE); + + /* Execute the LMS Norm processing function*/ + + arm_lms_norm_f32(&lmsNorm_instance, /* LMSNorm instance */ + wire1, /* Input signal */ + wire2, /* Reference Signal */ + wire3, /* Converged Signal */ + err_signal, /* Error Signal, this will become small as the signal converges */ + BLOCKSIZE); /* BlockSize */ + + /* apply overall gain */ + arm_scale_f32(wire3, 5, wire3, BLOCKSIZE); /* in-place buffer */ + } + + status = ARM_MATH_SUCCESS; + + /* ------------------------------------------------------------------------------- + * Test whether the error signal has reached towards 0. + * ----------------------------------------------------------------------------- */ + + arm_abs_f32(err_signal, err_signal, BLOCKSIZE); + arm_min_f32(err_signal, BLOCKSIZE, &minValue, &index); + + if (minValue > DELTA_ERROR) + { + status = ARM_MATH_TEST_FAILURE; + } + + /* ---------------------------------------------------------------------- + * Test whether the filter coefficients have converged. + * ------------------------------------------------------------------- */ + + arm_sub_f32((float32_t *)FIRCoeff_f32, lmsNormCoeff_f32, lmsNormCoeff_f32, NUMTAPS); + + arm_abs_f32(lmsNormCoeff_f32, lmsNormCoeff_f32, NUMTAPS); + arm_min_f32(lmsNormCoeff_f32, NUMTAPS, &minValue, &index); + + if (minValue > DELTA_COEFF) + { + status = ARM_MATH_TEST_FAILURE; + } + + /* ---------------------------------------------------------------------- + * Loop here if the signals did not pass the convergence check. + * This denotes a test failure + * ------------------------------------------------------------------- */ + + if( status != ARM_MATH_SUCCESS) + { + while(1); + } + + while(1); /* main function does not return */ +} + + /** \endlink */ diff --git a/DSP_Lib/Examples/arm_signal_converge_example/ARM/math_helper.c b/DSP_Lib/Examples/arm_signal_converge_example/ARM/math_helper.c new file mode 100644 index 0000000..dbf2cfe --- /dev/null +++ b/DSP_Lib/Examples/arm_signal_converge_example/ARM/math_helper.c @@ -0,0 +1,458 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* +* Title: math_helper.c +* +* Description: Definition of all helper functions required. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + +/* ---------------------------------------------------------------------- +* Include standard header files +* -------------------------------------------------------------------- */ +#include<math.h> + +/* ---------------------------------------------------------------------- +* Include project header files +* -------------------------------------------------------------------- */ +#include "math_helper.h" + +/** + * @brief Caluclation of SNR + * @param float* Pointer to the reference buffer + * @param float* Pointer to the test buffer + * @param uint32_t total number of samples + * @return float SNR + * The function Caluclates signal to noise ratio for the reference output + * and test output + */ + +float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize) +{ + float EnergySignal = 0.0, EnergyError = 0.0; + uint32_t i; + float SNR; + int temp; + int *test; + + for (i = 0; i < buffSize; i++) + { + /* Checking for a NAN value in pRef array */ + test = (int *)(&pRef[i]); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + + /* Checking for a NAN value in pTest array */ + test = (int *)(&pTest[i]); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + EnergySignal += pRef[i] * pRef[i]; + EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]); + } + + /* Checking for a NAN value in EnergyError */ + test = (int *)(&EnergyError); + temp = *test; + + if(temp == 0x7FC00000) + { + return(0); + } + + + SNR = 10 * log10 (EnergySignal / EnergyError); + + return (SNR); + +} + + +/** + * @brief Provide guard bits for Input buffer + * @param q15_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + +/** + * @brief Converts float to fixed in q12.20 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point(q12.20) values + */ + +void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1048576.0f corresponds to pow(2, 20) */ + pOut[i] = (q31_t) (pIn[i] * 1048576.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 1.0) + { + pOut[i] = 0x000FFFFF; + } + } +} + +/** + * @brief Compare MATLAB Reference Output and ARM Test output + * @param q15_t* Pointer to Ref buffer + * @param q15_t* Pointer to Test buffer + * @param uint32_t number of samples in the buffer + * @return none + */ + +uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples) +{ + uint32_t i; + int32_t diff, diffCrnt = 0; + uint32_t maxDiff = 0; + + for (i = 0; i < numSamples; i++) + { + diff = pIn[i] - pOut[i]; + diffCrnt = (diff > 0) ? diff : -diff; + + if(diffCrnt > maxDiff) + { + maxDiff = diffCrnt; + } + } + + return(maxDiff); +} + +/** + * @brief Compare MATLAB Reference Output and ARM Test output + * @param q31_t* Pointer to Ref buffer + * @param q31_t* Pointer to Test buffer + * @param uint32_t number of samples in the buffer + * @return none + */ + +uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples) +{ + uint32_t i; + int32_t diff, diffCrnt = 0; + uint32_t maxDiff = 0; + + for (i = 0; i < numSamples; i++) + { + diff = pIn[i] - pOut[i]; + diffCrnt = (diff > 0) ? diff : -diff; + + if(diffCrnt > maxDiff) + { + maxDiff = diffCrnt; + } + } + + return(maxDiff); +} + +/** + * @brief Provide guard bits for Input buffer + * @param q31_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q31 (q31_t * input_buf, + uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + +/** + * @brief Provide guard bits for Input buffer + * @param q31_t* Pointer to input buffer + * @param uint32_t blockSize + * @param uint32_t guard_bits + * @return none + * The function Provides the guard bits for the buffer + * to avoid overflow + */ + +void arm_provide_guard_bits_q7 (q7_t * input_buf, + uint32_t blockSize, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < blockSize; i++) + { + input_buf[i] = input_buf[i] >> guard_bits; + } +} + + + +/** + * @brief Caluclates number of guard bits + * @param uint32_t number of additions + * @return none + * The function Caluclates the number of guard bits + * depending on the numtaps + */ + +uint32_t arm_calc_guard_bits (uint32_t num_adds) +{ + uint32_t i = 1, j = 0; + + if (num_adds == 1) + { + return (0); + } + + while (i < num_adds) + { + i = i * 2; + j++; + } + + return (j); +} + +/** + * @brief Converts Q15 to floating-point + * @param uint32_t number of samples in the buffer + * @return none + */ + +void arm_apply_guard_bits (float32_t * pIn, + uint32_t numSamples, + uint32_t guard_bits) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + pIn[i] = pIn[i] * arm_calc_2pow(guard_bits); + } +} + +/** + * @brief Calculates pow(2, numShifts) + * @param uint32_t number of shifts + * @return pow(2, numShifts) + */ +uint32_t arm_calc_2pow(uint32_t numShifts) +{ + + uint32_t i, val = 1; + + for (i = 0; i < numShifts; i++) + { + val = val * 2; + } + + return(val); +} + + + +/** + * @brief Converts float to fixed q14 + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q14 (float *pIn, q15_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 16384.0f corresponds to pow(2, 14) */ + pOut[i] = (q15_t) (pIn[i] * 16384.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 2.0) + { + pOut[i] = 0x7FFF; + } + + } + +} + + +/** + * @brief Converts float to fixed q30 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q30 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1073741824.0f corresponds to pow(2, 30) */ + pOut[i] = (q31_t) (pIn[i] * 1073741824.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 2.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + +/** + * @brief Converts float to fixed q30 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q29 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 1073741824.0f corresponds to pow(2, 30) */ + pOut[i] = (q31_t) (pIn[i] * 536870912.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 4.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + + +/** + * @brief Converts float to fixed q28 format + * @param uint32_t number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_float_to_q28 (float *pIn, q31_t * pOut, + uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + /* 268435456.0f corresponds to pow(2, 28) */ + pOut[i] = (q31_t) (pIn[i] * 268435456.0f); + + pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; + + if (pIn[i] == (float) 8.0) + { + pOut[i] = 0x7FFFFFFF; + } + } +} + +/** + * @brief Clip the float values to +/- 1 + * @param pIn input buffer + * @param numSamples number of samples in the buffer + * @return none + * The function converts floating point values to fixed point values + */ + +void arm_clip_f32 (float *pIn, uint32_t numSamples) +{ + uint32_t i; + + for (i = 0; i < numSamples; i++) + { + if(pIn[i] > 1.0f) + { + pIn[i] = 1.0; + } + else if( pIn[i] < -1.0f) + { + pIn[i] = -1.0; + } + + } +} + + + + diff --git a/DSP_Lib/Examples/arm_signal_converge_example/ARM/math_helper.h b/DSP_Lib/Examples/arm_signal_converge_example/ARM/math_helper.h new file mode 100644 index 0000000..46b0af3 --- /dev/null +++ b/DSP_Lib/Examples/arm_signal_converge_example/ARM/math_helper.h @@ -0,0 +1,63 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2013 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* +* Title: math_helper.h +* +* Description: Prototypes of all helper functions required. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + + +#include "arm_math.h" + +#ifndef MATH_HELPER_H +#define MATH_HELPER_H + +float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize); +void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples); +void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits); +void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits); +void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples); +void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples); +void arm_clip_f32(float *pIn, uint32_t numSamples); +uint32_t arm_calc_guard_bits(uint32_t num_adds); +void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits); +uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples); +uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples); +uint32_t arm_calc_2pow(uint32_t guard_bits); +#endif + diff --git a/DSP_Lib/Examples/arm_sin_cos_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_sin_cos_example/ARM/Abstract.txt new file mode 100644 index 0000000..d698b43 --- /dev/null +++ b/DSP_Lib/Examples/arm_sin_cos_example/ARM/Abstract.txt @@ -0,0 +1,4 @@ +CMSIS DSP_Lib example arm_sin_cos_example for + Cortex-M0, Cortex-M3 and Cortex-M4 with FPU + +The example is configured for uVision Simulator diff --git a/DSP_Lib/Examples/arm_sin_cos_example/ARM/arm_sin_cos_example_f32.c b/DSP_Lib/Examples/arm_sin_cos_example/ARM/arm_sin_cos_example_f32.c new file mode 100644 index 0000000..dc89a39 --- /dev/null +++ b/DSP_Lib/Examples/arm_sin_cos_example/ARM/arm_sin_cos_example_f32.c @@ -0,0 +1,161 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 12. March 2014 +* $Revision: V1.4.3 +* +* Project: CMSIS DSP Library +* Title: arm_sin_cos_example_f32.c +* +* Description: Example code demonstrating sin and cos calculation of input signal. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + +/** + * @ingroup groupExamples + */ + +/** + * @defgroup SinCosExample SineCosine Example + * + * \par Description: + * \par + * Demonstrates the Pythagorean trignometric identity with the use of Cosine, Sine, Vector + * Multiplication, and Vector Addition functions. + * + * \par Algorithm: + * \par + * Mathematically, the Pythagorean trignometric identity is defined by the following equation: + * <pre>sin(x) * sin(x) + cos(x) * cos(x) = 1</pre> + * where \c x is the angle in radians. + * + * \par Block Diagram: + * \par + * \image html sinCos.gif + * + * \par Variables Description: + * \par + * \li \c testInput_f32 array of input angle in radians + * \li \c testOutput stores sum of the squares of sine and cosine values of input angle + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_cos_f32() + * - arm_sin_f32() + * - arm_mult_f32() + * - arm_add_f32() + * + * <b> Refer </b> + * \link arm_sin_cos_example_f32.c \endlink + * + */ + + +/** \example arm_sin_cos_example_f32.c + */ + +#include <math.h> +#include "arm_math.h" + +/* ---------------------------------------------------------------------- +* Defines each of the tests performed +* ------------------------------------------------------------------- */ +#define MAX_BLOCKSIZE 32 +#define DELTA (0.0001f) + + +/* ---------------------------------------------------------------------- +* Test input data for Floating point sin_cos example for 32-blockSize +* Generated by the MATLAB randn() function +* ------------------------------------------------------------------- */ + +const float32_t testInput_f32[MAX_BLOCKSIZE] = +{ + -1.244916875853235400, -4.793533929171324800, 0.360705030233248850, 0.827929644170887320, -3.299532218312426900, 3.427441903227623800, 3.422401784294607700, -0.108308165334010680, + 0.941943896490312180, 0.502609575000365850, -0.537345278736373500, 2.088817392965764500, -1.693168684143455700, 6.283185307179590700, -0.392545884746175080, 0.327893095115825040, + 3.070147440456292300, 0.170611405884662230, -0.275275082396073010, -2.395492805446796300, 0.847311163536506600, -3.845517018083148800, 2.055818378415868300, 4.672594161978930800, + -1.990923030266425800, 2.469305197656249500, 3.609002606064021000, -4.586736582331667500, -4.147080139136136300, 1.643756718868359500, -1.150866392366494800, 1.985805026477433800 + + +}; + +const float32_t testRefOutput_f32 = 1.000000000; + +/* ---------------------------------------------------------------------- +* Declare Global variables +* ------------------------------------------------------------------- */ +uint32_t blockSize = 32; +float32_t testOutput; +float32_t cosOutput; +float32_t sinOutput; +float32_t cosSquareOutput; +float32_t sinSquareOutput; + +/* ---------------------------------------------------------------------- +* Max magnitude FFT Bin test +* ------------------------------------------------------------------- */ + +arm_status status; + +int32_t main(void) +{ + float32_t diff; + uint32_t i; + + for(i=0; i< blockSize; i++) + { + cosOutput = arm_cos_f32(testInput_f32[i]); + sinOutput = arm_sin_f32(testInput_f32[i]); + + arm_mult_f32(&cosOutput, &cosOutput, &cosSquareOutput, 1); + arm_mult_f32(&sinOutput, &sinOutput, &sinSquareOutput, 1); + + arm_add_f32(&cosSquareOutput, &sinSquareOutput, &testOutput, 1); + + /* absolute value of difference between ref and test */ + diff = fabsf(testRefOutput_f32 - testOutput); + + /* Comparison of sin_cos value with reference */ + if(diff > DELTA) + { + status = ARM_MATH_TEST_FAILURE; + } + + if( status == ARM_MATH_TEST_FAILURE) + { + while(1); + } + + } + + while(1); /* main function does not return */ +} + + /** \endlink */ diff --git a/DSP_Lib/Examples/arm_variance_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_variance_example/ARM/Abstract.txt new file mode 100644 index 0000000..931d02d --- /dev/null +++ b/DSP_Lib/Examples/arm_variance_example/ARM/Abstract.txt @@ -0,0 +1,4 @@ +CMSIS DSP_Lib example arm_variance_example for + Cortex-M0, Cortex-M3 and Cortex-M4 with FPU + +The example is configured for uVision Simulator diff --git a/DSP_Lib/Examples/arm_variance_example/ARM/arm_variance_example_f32.c b/DSP_Lib/Examples/arm_variance_example/ARM/arm_variance_example_f32.c new file mode 100644 index 0000000..f2188e3 --- /dev/null +++ b/DSP_Lib/Examples/arm_variance_example/ARM/arm_variance_example_f32.c @@ -0,0 +1,204 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2012 ARM Limited. All rights reserved. +* +* $Date: 17. January 2013 +* $Revision: V1.4.0 +* +* Project: CMSIS DSP Library +* Title: arm_variance_example_f32.c +* +* Description: Example code demonstrating variance calculation of input sequence. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + +/** + * @ingroup groupExamples + */ + +/** + * @defgroup VarianceExample Variance Example + * + * \par Description: + * \par + * Demonstrates the use of Basic Math and Support Functions to calculate the variance of an + * input sequence with N samples. Uniformly distributed white noise is taken as input. + * + * \par Algorithm: + * \par + * The variance of a sequence is the mean of the squared deviation of the sequence from its mean. + * \par + * This is denoted by the following equation: + * <pre> variance = ((x[0] - x') * (x[0] - x') + (x[1] - x') * (x[1] - x') + ... + * (x[n-1] - x') * (x[n-1] - x')) / (N-1)</pre> + * where, <code>x[n]</code> is the input sequence, <code>N</code> is the number of input samples, and + * <code>x'</code> is the mean value of the input sequence, <code>x[n]</code>. + * \par + * The mean value <code>x'</code> is defined as: + * <pre> x' = (x[0] + x[1] + ... + x[n-1]) / N</pre> + * + * \par Block Diagram: + * \par + * \image html Variance.gif + * + * + * \par Variables Description: + * \par + * \li \c testInput_f32 points to the input data + * \li \c wire1, \c wir2, \c wire3 temporary buffers + * \li \c blockSize number of samples processed at a time + * \li \c refVarianceOut reference variance value + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_dot_prod_f32() + * - arm_mult_f32() + * - arm_sub_f32() + * - arm_fill_f32() + * - arm_copy_f32() + * + * <b> Refer </b> + * \link arm_variance_example_f32.c \endlink + * + */ + + +/** \example arm_variance_example_f32.c + */ +#include <math.h> +#include "arm_math.h" + +/* ---------------------------------------------------------------------- +* Defines each of the tests performed +* ------------------------------------------------------------------- */ +#define MAX_BLOCKSIZE 32 +#define DELTA (0.000001f) + + +/* ---------------------------------------------------------------------- +* Declare I/O buffers +* ------------------------------------------------------------------- */ +float32_t wire1[MAX_BLOCKSIZE]; +float32_t wire2[MAX_BLOCKSIZE]; +float32_t wire3[MAX_BLOCKSIZE]; + +/* ---------------------------------------------------------------------- +* Test input data for Floating point Variance example for 32-blockSize +* Generated by the MATLAB randn() function +* ------------------------------------------------------------------- */ + +float32_t testInput_f32[32] = +{ + -0.432564811528221, -1.665584378238097, 0.125332306474831, 0.287676420358549, + -1.146471350681464, 1.190915465642999, 1.189164201652103, -0.037633276593318, + 0.327292361408654, 0.174639142820925, -0.186708577681439, 0.725790548293303, + -0.588316543014189, 2.183185818197101, -0.136395883086596, 0.113931313520810, + 1.066768211359189, 0.059281460523605, -0.095648405483669, -0.832349463650022, + 0.294410816392640, -1.336181857937804, 0.714324551818952, 1.623562064446271, + -0.691775701702287, 0.857996672828263, 1.254001421602532, -1.593729576447477, + -1.440964431901020, 0.571147623658178, -0.399885577715363, 0.689997375464345 + +}; + +/* ---------------------------------------------------------------------- +* Declare Global variables +* ------------------------------------------------------------------- */ +uint32_t blockSize = 32; +float32_t refVarianceOut = 0.903941793931839; + +/* ---------------------------------------------------------------------- +* Variance calculation test +* ------------------------------------------------------------------- */ + +int32_t main(void) +{ + arm_status status; + float32_t mean, oneByBlockSize; + float32_t variance; + float32_t diff; + + status = ARM_MATH_SUCCESS; + + /* Calculation of mean value of input */ + + /* x' = 1/blockSize * (x(0)* 1 + x(1) * 1 + ... + x(n-1) * 1) */ + + /* Fill wire1 buffer with 1.0 value */ + arm_fill_f32(1.0, wire1, blockSize); + + /* Calculate the dot product of wire1 and wire2 */ + /* (x(0)* 1 + x(1) * 1 + ...+ x(n-1) * 1) */ + arm_dot_prod_f32(testInput_f32, wire1, blockSize, &mean); + + /* Calculation of 1/blockSize */ + oneByBlockSize = 1.0 / (blockSize); + + /* 1/blockSize * (x(0)* 1 + x(1) * 1 + ... + x(n-1) * 1) */ + arm_mult_f32(&mean, &oneByBlockSize, &mean, 1); + + + /* Calculation of variance value of input */ + + /* (1/blockSize) * (x(0) - x') * (x(0) - x') + (x(1) - x') * (x(1) - x') + ... + (x(n-1) - x') * (x(n-1) - x') */ + + /* Fill wire2 with mean value x' */ + arm_fill_f32(mean, wire2, blockSize); + + /* wire3 contains (x-x') */ + arm_sub_f32(testInput_f32, wire2, wire3, blockSize); + + /* wire2 contains (x-x') */ + arm_copy_f32(wire3, wire2, blockSize); + + /* (x(0) - x') * (x(0) - x') + (x(1) - x') * (x(1) - x') + ... + (x(n-1) - x') * (x(n-1) - x') */ + arm_dot_prod_f32(wire2, wire3, blockSize, &variance); + + /* Calculation of 1/blockSize */ + oneByBlockSize = 1.0 / (blockSize - 1); + + /* Calculation of variance */ + arm_mult_f32(&variance, &oneByBlockSize, &variance, 1); + + /* absolute value of difference between ref and test */ + diff = fabsf(refVarianceOut - variance); + + /* Comparison of variance value with reference */ + if(diff > DELTA) + { + status = ARM_MATH_TEST_FAILURE; + } + + if( status != ARM_MATH_SUCCESS) + { + while(1); + } + + while(1); /* main function does not return */ +} + + /** \endlink */ |