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diff --git a/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_f32.c new file mode 100644 index 0000000..6e3117f --- /dev/null +++ b/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_f32.c @@ -0,0 +1,466 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2014 ARM Limited. All rights reserved. +* +* $Date: 19. March 2015 +* $Revision: V.1.4.5 +* +* Project: CMSIS DSP Library +* Title: arm_lms_norm_f32.c +* +* Description: Processing function for the floating-point Normalised LMS. +* +* 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" + +/** + * @ingroup groupFilters + */ + +/** + * @defgroup LMS_NORM Normalized LMS Filters + * + * This set of functions implements a commonly used adaptive filter. + * It is related to the Least Mean Square (LMS) adaptive filter and includes an additional normalization + * factor which increases the adaptation rate of the filter. + * The CMSIS DSP Library contains normalized LMS filter functions that operate on Q15, Q31, and floating-point data types. + * + * A normalized least mean square (NLMS) filter consists of two components as shown below. + * The first component is a standard transversal or FIR filter. + * The second component is a coefficient update mechanism. + * The NLMS filter has two input signals. + * The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter. + * That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input. + * The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input. + * This "error signal" tends towards zero as the filter adapts. + * The NLMS processing functions accept the input and reference input signals and generate the filter output and error signal. + * \image html LMS.gif "Internal structure of the NLMS adaptive filter" + * + * The functions operate on blocks of data and each call to the function processes + * <code>blockSize</code> samples through the filter. + * <code>pSrc</code> points to input signal, <code>pRef</code> points to reference signal, + * <code>pOut</code> points to output signal and <code>pErr</code> points to error signal. + * All arrays contain <code>blockSize</code> values. + * + * The functions operate on a block-by-block basis. + * Internally, the filter coefficients <code>b[n]</code> are updated on a sample-by-sample basis. + * The convergence of the LMS filter is slower compared to the normalized LMS algorithm. + * + * \par Algorithm: + * The output signal <code>y[n]</code> is computed by a standard FIR filter: + * <pre> + * y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1] + * </pre> + * + * \par + * The error signal equals the difference between the reference signal <code>d[n]</code> and the filter output: + * <pre> + * e[n] = d[n] - y[n]. + * </pre> + * + * \par + * After each sample of the error signal is computed the instanteous energy of the filter state variables is calculated: + * <pre> + * E = x[n]^2 + x[n-1]^2 + ... + x[n-numTaps+1]^2. + * </pre> + * The filter coefficients <code>b[k]</code> are then updated on a sample-by-sample basis: + * <pre> + * b[k] = b[k] + e[n] * (mu/E) * x[n-k], for k=0, 1, ..., numTaps-1 + * </pre> + * where <code>mu</code> is the step size and controls the rate of coefficient convergence. + *\par + * In the APIs, <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>. + * Coefficients are stored in time reversed order. + * \par + * <pre> + * {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} + * </pre> + * \par + * <code>pState</code> points to a state array of size <code>numTaps + blockSize - 1</code>. + * Samples in the state buffer are stored in the order: + * \par + * <pre> + * {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]} + * </pre> + * \par + * Note that the length of the state buffer exceeds the length of the coefficient array by <code>blockSize-1</code> samples. + * The increased state buffer length allows circular addressing, which is traditionally used in FIR filters, + * to be avoided and yields a significant speed improvement. + * The state variables are updated after each block of data is processed. + * \par Instance Structure + * The coefficients and state variables for a filter are stored together in an instance data structure. + * A separate instance structure must be defined for each filter and + * coefficient and state arrays cannot be shared among instances. + * There are separate instance structure declarations for each of the 3 supported data types. + * + * \par Initialization Functions + * There is also an associated initialization function for each data type. + * The initialization function performs the following operations: + * - Sets the values of the internal structure fields. + * - Zeros out the values in the state buffer. + * To do this manually without calling the init function, assign the follow subfields of the instance structure: + * numTaps, pCoeffs, mu, energy, x0, pState. Also set all of the values in pState to zero. + * For Q7, Q15, and Q31 the following fields must also be initialized; + * recipTable, postShift + * + * \par + * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function. + * \par Fixed-Point Behavior: + * Care must be taken when using the Q15 and Q31 versions of the normalised LMS filter. + * The following issues must be considered: + * - Scaling of coefficients + * - Overflow and saturation + * + * \par Scaling of Coefficients: + * Filter coefficients are represented as fractional values and + * coefficients are restricted to lie in the range <code>[-1 +1)</code>. + * The fixed-point functions have an additional scaling parameter <code>postShift</code>. + * At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits. + * This essentially scales the filter coefficients by <code>2^postShift</code> and + * allows the filter coefficients to exceed the range <code>[+1 -1)</code>. + * The value of <code>postShift</code> is set by the user based on the expected gain through the system being modeled. + * + * \par Overflow and Saturation: + * Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are + * described separately as part of the function specific documentation below. + */ + + +/** + * @addtogroup LMS_NORM + * @{ + */ + + + /** + * @brief Processing function for floating-point normalized LMS filter. + * @param[in] *S points to an instance of the floating-point normalized LMS filter structure. + * @param[in] *pSrc points to the block of input data. + * @param[in] *pRef points to the block of reference data. + * @param[out] *pOut points to the block of output data. + * @param[out] *pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + +void arm_lms_norm_f32( + arm_lms_norm_instance_f32 * S, + float32_t * pSrc, + float32_t * pRef, + float32_t * pOut, + float32_t * pErr, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + float32_t mu = S->mu; /* Adaptive factor */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + float32_t energy; /* Energy of the input */ + float32_t sum, e, d; /* accumulator, error, reference data sample */ + float32_t w, x0, in; /* weight factor, temporary variable to hold input sample and state */ + + /* Initializations of error, difference, Coefficient update */ + e = 0.0f; + d = 0.0f; + w = 0.0f; + + energy = S->energy; + x0 = S->x0; + + /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1u)]); + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + + +#ifndef ARM_MATH_CM0_FAMILY + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + while(blkCnt > 0u) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = (pCoeffs); + + /* Read the sample from input buffer */ + in = *pSrc++; + + /* Update the energy calculation */ + energy -= x0 * x0; + energy += in * in; + + /* Set the accumulator to zero */ + sum = 0.0f; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + while(tapCnt > 0u) + { + /* Perform the multiply-accumulate */ + sum += (*px++) * (*pb++); + sum += (*px++) * (*pb++); + sum += (*px++) * (*pb++); + sum += (*px++) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4u; + + while(tapCnt > 0u) + { + /* Perform the multiply-accumulate */ + sum += (*px++) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result in the accumulator, store in the destination buffer. */ + *pOut++ = sum; + + /* Compute and store error */ + d = (float32_t) (*pRef++); + e = d - sum; + *pErr++ = e; + + /* Calculation of Weighting factor for updating filter coefficients */ + /* epsilon value 0.000000119209289f */ + w = (e * mu) / (energy + 0.000000119209289f); + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = (pCoeffs); + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Update filter coefficients */ + while(tapCnt > 0u) + { + /* Perform the multiply-accumulate */ + *pb += w * (*px++); + pb++; + + *pb += w * (*px++); + pb++; + + *pb += w * (*px++); + pb++; + + *pb += w * (*px++); + pb++; + + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4u; + + while(tapCnt > 0u) + { + /* Perform the multiply-accumulate */ + *pb += w * (*px++); + pb++; + + /* Decrement the loop counter */ + tapCnt--; + } + + x0 = *pState; + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + S->energy = energy; + S->x0 = x0; + + /* Processing is complete. Now copy the last numTaps - 1 samples to the + satrt of the state buffer. This prepares the state buffer for the + next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* Loop unrolling for (numTaps - 1u)/4 samples copy */ + tapCnt = (numTaps - 1u) >> 2u; + + /* copy data */ + while(tapCnt > 0u) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Calculate remaining number of copies */ + tapCnt = (numTaps - 1u) % 0x4u; + + /* Copy the remaining q31_t data */ + while(tapCnt > 0u) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + while(blkCnt > 0u) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize pCoeffs pointer */ + pb = pCoeffs; + + /* Read the sample from input buffer */ + in = *pSrc++; + + /* Update the energy calculation */ + energy -= x0 * x0; + energy += in * in; + + /* Set the accumulator to zero */ + sum = 0.0f; + + /* Loop over numTaps number of values */ + tapCnt = numTaps; + + while(tapCnt > 0u) + { + /* Perform the multiply-accumulate */ + sum += (*px++) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result in the accumulator is stored in the destination buffer. */ + *pOut++ = sum; + + /* Compute and store error */ + d = (float32_t) (*pRef++); + e = d - sum; + *pErr++ = e; + + /* Calculation of Weighting factor for updating filter coefficients */ + /* epsilon value 0.000000119209289f */ + w = (e * mu) / (energy + 0.000000119209289f); + + /* Initialize pState pointer */ + px = pState; + + /* Initialize pCcoeffs pointer */ + pb = pCoeffs; + + /* Loop over numTaps number of values */ + tapCnt = numTaps; + + while(tapCnt > 0u) + { + /* Perform the multiply-accumulate */ + *pb += w * (*px++); + pb++; + + /* Decrement the loop counter */ + tapCnt--; + } + + x0 = *pState; + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + S->energy = energy; + S->x0 = x0; + + /* Processing is complete. Now copy the last numTaps - 1 samples to the + satrt of the state buffer. This prepares the state buffer for the + next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* Copy (numTaps - 1u) samples */ + tapCnt = (numTaps - 1u); + + /* Copy the remaining q31_t data */ + while(tapCnt > 0u) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +#endif /* #ifndef ARM_MATH_CM0_FAMILY */ + +} + +/** + * @} end of LMS_NORM group + */ |