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diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_f32.c new file mode 100644 index 0000000..5ad249e --- /dev/null +++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_f32.c @@ -0,0 +1,581 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2014 ARM Limited. All rights reserved. +* +* $Date: 19. March 2015 +* $Revision: V.1.4.5 +* +* Project: CMSIS DSP Library +* Title: arm_fir_interpolate_f32.c +* +* Description: FIR interpolation for floating-point sequences. +* +* 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" + +/** + * @defgroup FIR_Interpolate Finite Impulse Response (FIR) Interpolator + * + * These functions combine an upsampler (zero stuffer) and an FIR filter. + * They are used in multirate systems for increasing the sample rate of a signal without introducing high frequency images. + * Conceptually, the functions are equivalent to the block diagram below: + * \image html FIRInterpolator.gif "Components included in the FIR Interpolator functions" + * After upsampling by a factor of <code>L</code>, the signal should be filtered by a lowpass filter with a normalized + * cutoff frequency of <code>1/L</code> in order to eliminate high frequency copies of the spectrum. + * The user of the function is responsible for providing the filter coefficients. + * + * The FIR interpolator functions provided in the CMSIS DSP Library combine the upsampler and FIR filter in an efficient manner. + * The upsampler inserts <code>L-1</code> zeros between each sample. + * Instead of multiplying by these zero values, the FIR filter is designed to skip them. + * This leads to an efficient implementation without any wasted effort. + * The functions operate on blocks of input and output data. + * <code>pSrc</code> points to an array of <code>blockSize</code> input values and + * <code>pDst</code> points to an array of <code>blockSize*L</code> output values. + * + * The library provides separate functions for Q15, Q31, and floating-point data types. + * + * \par Algorithm: + * The functions use a polyphase filter structure: + * <pre> + * y[n] = b[0] * x[n] + b[L] * x[n-1] + ... + b[L*(phaseLength-1)] * x[n-phaseLength+1] + * y[n+1] = b[1] * x[n] + b[L+1] * x[n-1] + ... + b[L*(phaseLength-1)+1] * x[n-phaseLength+1] + * ... + * y[n+(L-1)] = b[L-1] * x[n] + b[2*L-1] * x[n-1] + ....+ b[L*(phaseLength-1)+(L-1)] * x[n-phaseLength+1] + * </pre> + * This approach is more efficient than straightforward upsample-then-filter algorithms. + * With this method the computation is reduced by a factor of <code>1/L</code> when compared to using a standard FIR filter. + * \par + * <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>. + * <code>numTaps</code> must be a multiple of the interpolation factor <code>L</code> and this is checked by the + * initialization functions. + * Internally, the function divides the FIR filter's impulse response into shorter filters of length + * <code>phaseLength=numTaps/L</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>blockSize + phaseLength - 1</code>. + * Samples in the state buffer are stored in the order: + * \par + * <pre> + * {x[n-phaseLength+1], x[n-phaseLength], x[n-phaseLength-1], x[n-phaseLength-2]....x[0], x[1], ..., x[blockSize-1]} + * </pre> + * The state variables are updated after each block of data is processed, the coefficients are untouched. + * + * \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. + * Coefficient arrays may be shared among several instances while state variable array should be allocated separately. + * 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. + * - Checks to make sure that the length of the filter is a multiple of the interpolation factor. + * To do this manually without calling the init function, assign the follow subfields of the instance structure: + * L (interpolation factor), pCoeffs, phaseLength (numTaps / L), pState. Also set all of the values in pState to zero. + * + * \par + * Use of the initialization function is optional. + * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + * To place an instance structure into a const data section, the instance structure must be manually initialized. + * The code below statically initializes each of the 3 different data type filter instance structures + * <pre> + * arm_fir_interpolate_instance_f32 S = {L, phaseLength, pCoeffs, pState}; + * arm_fir_interpolate_instance_q31 S = {L, phaseLength, pCoeffs, pState}; + * arm_fir_interpolate_instance_q15 S = {L, phaseLength, pCoeffs, pState}; + * </pre> + * where <code>L</code> is the interpolation factor; <code>phaseLength=numTaps/L</code> is the + * length of each of the shorter FIR filters used internally, + * <code>pCoeffs</code> is the address of the coefficient buffer; + * <code>pState</code> is the address of the state buffer. + * Be sure to set the values in the state buffer to zeros when doing static initialization. + * + * \par Fixed-Point Behavior + * Care must be taken when using the fixed-point versions of the FIR interpolate filter functions. + * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + +/** + * @addtogroup FIR_Interpolate + * @{ + */ + +/** + * @brief Processing function for the floating-point FIR interpolator. + * @param[in] *S points to an instance of the floating-point FIR interpolator structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of input samples to process per call. + * @return none. + */ +#ifndef ARM_MATH_CM0_FAMILY + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + +void arm_fir_interpolate_f32( + const arm_fir_interpolate_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + 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 *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */ + float32_t sum0; /* Accumulators */ + float32_t x0, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t i, blkCnt, j; /* Loop counters */ + uint16_t phaseLen = S->phaseLength, tapCnt; /* Length of each polyphase filter component */ + float32_t acc0, acc1, acc2, acc3; + float32_t x1, x2, x3; + uint32_t blkCntN4; + float32_t c1, c2, c3; + + /* S->pState buffer contains previous frame (phaseLen - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + (phaseLen - 1u); + + /* Initialise blkCnt */ + blkCnt = blockSize / 4; + blkCntN4 = blockSize - (4 * blkCnt); + + /* Samples loop unrolled by 4 */ + while(blkCnt > 0u) + { + /* Copy new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + /* Address modifier index of coefficient buffer */ + j = 1u; + + /* Loop over the Interpolation factor. */ + i = (S->L); + + while(i > 0u) + { + /* Set accumulator to zero */ + acc0 = 0.0f; + acc1 = 0.0f; + acc2 = 0.0f; + acc3 = 0.0f; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (S->L - j); + + /* Loop over the polyPhase length. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-(4*S->L) coefficients. */ + tapCnt = phaseLen >> 2u; + + x0 = *(ptr1++); + x1 = *(ptr1++); + x2 = *(ptr1++); + + while(tapCnt > 0u) + { + + /* Read the input sample */ + x3 = *(ptr1++); + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + acc2 += x2 * c0; + acc3 += x3 * c0; + + /* Read the coefficient */ + c1 = *(ptr2 + S->L); + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += x1 * c1; + acc1 += x2 * c1; + acc2 += x3 * c1; + acc3 += x0 * c1; + + /* Read the coefficient */ + c2 = *(ptr2 + S->L * 2); + + /* Read the input sample */ + x1 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += x2 * c2; + acc1 += x3 * c2; + acc2 += x0 * c2; + acc3 += x1 * c2; + + /* Read the coefficient */ + c3 = *(ptr2 + S->L * 3); + + /* Read the input sample */ + x2 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += x3 * c3; + acc1 += x0 * c3; + acc2 += x1 * c3; + acc3 += x2 * c3; + + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += 4 * S->L; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = phaseLen % 0x4u; + + while(tapCnt > 0u) + { + + /* Read the input sample */ + x3 = *(ptr1++); + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + acc2 += x2 * c0; + acc3 += x3 * c0; + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* update states for next sample processing */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst = acc0; + *(pDst + S->L) = acc1; + *(pDst + 2 * S->L) = acc2; + *(pDst + 3 * S->L) = acc3; + + pDst++; + + /* Increment the address modifier index of coefficient buffer */ + j++; + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 4; + + pDst += S->L * 3; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + + while(blkCntN4 > 0u) + { + /* Copy new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Address modifier index of coefficient buffer */ + j = 1u; + + /* Loop over the Interpolation factor. */ + i = S->L; + while(i > 0u) + { + /* Set accumulator to zero */ + sum0 = 0.0f; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (S->L - j); + + /* Loop over the polyPhase length. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-(4*S->L) coefficients. */ + tapCnt = phaseLen >> 2u; + while(tapCnt > 0u) + { + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = phaseLen % 0x4u; + + while(tapCnt > 0u) + { + /* Perform the multiply-accumulate */ + sum0 += *(ptr1++) * (*ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = sum0; + + /* Increment the address modifier index of coefficient buffer */ + j++; + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCntN4--; + } + + /* Processing is complete. + ** Now copy the last phaseLen - 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 state buffer */ + pStateCurnt = S->pState; + + tapCnt = (phaseLen - 1u) >> 2u; + + /* copy data */ + while(tapCnt > 0u) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + + tapCnt = (phaseLen - 1u) % 0x04u; + + /* copy data */ + while(tapCnt > 0u) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } +} + +#else + + /* Run the below code for Cortex-M0 */ + +void arm_fir_interpolate_f32( + const arm_fir_interpolate_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + 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 *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */ + + + float32_t sum; /* Accumulator */ + uint32_t i, blkCnt; /* Loop counters */ + uint16_t phaseLen = S->phaseLength, tapCnt; /* Length of each polyphase filter component */ + + + /* S->pState buffer contains previous frame (phaseLen - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + (phaseLen - 1u); + + /* Total number of intput samples */ + blkCnt = blockSize; + + /* Loop over the blockSize. */ + while(blkCnt > 0u) + { + /* Copy new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Loop over the Interpolation factor. */ + i = S->L; + + while(i > 0u) + { + /* Set accumulator to zero */ + sum = 0.0f; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (i - 1u); + + /* Loop over the polyPhase length */ + tapCnt = phaseLen; + + while(tapCnt > 0u) + { + /* Perform the multiply-accumulate */ + sum += *ptr1++ * *ptr2; + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = sum; + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last phaseLen - 1 samples to the start of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + tapCnt = phaseLen - 1u; + + while(tapCnt > 0u) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +} + +#endif /* #ifndef ARM_MATH_CM0_FAMILY */ + + + + /** + * @} end of FIR_Interpolate group + */ |