/* ---------------------------------------------------------------------- * Copyright (C) 2010-2013 ARM Limited. All rights reserved. * * $Date: 17. January 2013 * $Revision: V1.4.1 * * Project: CMSIS DSP Library * Title: arm_fir_sparse_f32.c * * Description: Floating-point sparse FIR filter processing function. * * 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 FIR_Sparse Finite Impulse Response (FIR) Sparse Filters * * This group of functions implements sparse FIR filters. * Sparse FIR filters are equivalent to standard FIR filters except that most of the coefficients are equal to zero. * Sparse filters are used for simulating reflections in communications and audio applications. * * There are separate functions for Q7, Q15, Q31, and floating-point data types. * The functions operate on blocks of input and output data and each call to the function processes * blockSize samples through the filter. pSrc and * pDst points to input and output arrays respectively containing blockSize values. * * \par Algorithm: * The sparse filter instant structure contains an array of tap indices pTapDelay which specifies the locations of the non-zero coefficients. * This is in addition to the coefficient array b. * The implementation essentially skips the multiplications by zero and leads to an efficient realization. *
   
 *     y[n] = b[0] * x[n-pTapDelay[0]] + b[1] * x[n-pTapDelay[1]] + b[2] * x[n-pTapDelay[2]] + ...+ b[numTaps-1] * x[n-pTapDelay[numTaps-1]]    
 * 
* \par * \image html FIRSparse.gif "Sparse FIR filter. b[n] represents the filter coefficients" * \par * pCoeffs points to a coefficient array of size numTaps; * pTapDelay points to an array of nonzero indices and is also of size numTaps; * pState points to a state array of size maxDelay + blockSize, where * maxDelay is the largest offset value that is ever used in the pTapDelay array. * Some of the processing functions also require temporary working buffers. * * \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 and offset arrays may be shared among several instances while state variable arrays cannot be shared. * There are separate instance structure declarations for each of the 4 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, pTapDelay, maxDelay, stateIndex, 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. * Set the values in the state buffer to zeros before static initialization. * The code below statically initializes each of the 4 different data type filter instance structures *
    
 *arm_fir_sparse_instance_f32 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
 *arm_fir_sparse_instance_q31 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
 *arm_fir_sparse_instance_q15 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
 *arm_fir_sparse_instance_q7 S =  {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
 * 
* \par * * \par Fixed-Point Behavior * Care must be taken when using the fixed-point versions of the sparse FIR 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_Sparse * @{ */ /** * @brief Processing function for the floating-point sparse FIR filter. * @param[in] *S points to an instance of the floating-point sparse FIR structure. * @param[in] *pSrc points to the block of input data. * @param[out] *pDst points to the block of output data * @param[in] *pScratchIn points to a temporary buffer of size blockSize. * @param[in] blockSize number of input samples to process per call. * @return none. */ void arm_fir_sparse_f32( arm_fir_sparse_instance_f32 * S, float32_t * pSrc, float32_t * pDst, float32_t * pScratchIn, uint32_t blockSize) { float32_t *pState = S->pState; /* State pointer */ float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ float32_t *px; /* Scratch buffer pointer */ float32_t *py = pState; /* Temporary pointers for state buffer */ float32_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */ float32_t *pOut; /* Destination pointer */ int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */ uint32_t delaySize = S->maxDelay + blockSize; /* state length */ uint16_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ int32_t readIndex; /* Read index of the state buffer */ uint32_t tapCnt, blkCnt; /* loop counters */ float32_t coeff = *pCoeffs++; /* Read the first coefficient value */ /* BlockSize of Input samples are copied into the state buffer */ /* StateIndex points to the starting position to write in the state buffer */ arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1, (int32_t *) pSrc, 1, blockSize); /* Read Index, from where the state buffer should be read, is calculated. */ readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; /* Wraparound of readIndex */ if(readIndex < 0) { readIndex += (int32_t) delaySize; } /* Working pointer for state buffer is updated */ py = pState; /* blockSize samples are read from the state buffer */ arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize); /* Working pointer for the scratch buffer */ px = pb; /* Working pointer for destination buffer */ pOut = pDst; #ifndef ARM_MATH_CM0_FAMILY /* Run the below code for Cortex-M4 and Cortex-M3 */ /* Loop over the blockSize. Unroll by a factor of 4. * Compute 4 Multiplications at a time. */ blkCnt = blockSize >> 2u; while(blkCnt > 0u) { /* Perform Multiplications and store in destination buffer */ *pOut++ = *px++ * coeff; *pOut++ = *px++ * coeff; *pOut++ = *px++ * coeff; *pOut++ = *px++ * coeff; /* Decrement the loop counter */ blkCnt--; } /* If the blockSize is not a multiple of 4, * compute the remaining samples */ blkCnt = blockSize % 0x4u; while(blkCnt > 0u) { /* Perform Multiplications and store in destination buffer */ *pOut++ = *px++ * coeff; /* Decrement the loop counter */ blkCnt--; } /* Load the coefficient value and * increment the coefficient buffer for the next set of state values */ coeff = *pCoeffs++; /* Read Index, from where the state buffer should be read, is calculated. */ readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; /* Wraparound of readIndex */ if(readIndex < 0) { readIndex += (int32_t) delaySize; } /* Loop over the number of taps. */ tapCnt = (uint32_t) numTaps - 1u; while(tapCnt > 0u) { /* Working pointer for state buffer is updated */ py = pState; /* blockSize samples are read from the state buffer */ arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize); /* Working pointer for the scratch buffer */ px = pb; /* Working pointer for destination buffer */ pOut = pDst; /* Loop over the blockSize. Unroll by a factor of 4. * Compute 4 MACS at a time. */ blkCnt = blockSize >> 2u; while(blkCnt > 0u) { /* Perform Multiply-Accumulate */ *pOut++ += *px++ * coeff; *pOut++ += *px++ * coeff; *pOut++ += *px++ * coeff; *pOut++ += *px++ * coeff; /* Decrement the loop counter */ blkCnt--; } /* If the blockSize is not a multiple of 4, * compute the remaining samples */ blkCnt = blockSize % 0x4u; while(blkCnt > 0u) { /* Perform Multiply-Accumulate */ *pOut++ += *px++ * coeff; /* Decrement the loop counter */ blkCnt--; } /* Load the coefficient value and * increment the coefficient buffer for the next set of state values */ coeff = *pCoeffs++; /* Read Index, from where the state buffer should be read, is calculated. */ readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; /* Wraparound of readIndex */ if(readIndex < 0) { readIndex += (int32_t) delaySize; } /* Decrement the tap loop counter */ tapCnt--; } #else /* Run the below code for Cortex-M0 */ blkCnt = blockSize; while(blkCnt > 0u) { /* Perform Multiplications and store in destination buffer */ *pOut++ = *px++ * coeff; /* Decrement the loop counter */ blkCnt--; } /* Load the coefficient value and * increment the coefficient buffer for the next set of state values */ coeff = *pCoeffs++; /* Read Index, from where the state buffer should be read, is calculated. */ readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; /* Wraparound of readIndex */ if(readIndex < 0) { readIndex += (int32_t) delaySize; } /* Loop over the number of taps. */ tapCnt = (uint32_t) numTaps - 1u; while(tapCnt > 0u) { /* Working pointer for state buffer is updated */ py = pState; /* blockSize samples are read from the state buffer */ arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize); /* Working pointer for the scratch buffer */ px = pb; /* Working pointer for destination buffer */ pOut = pDst; blkCnt = blockSize; while(blkCnt > 0u) { /* Perform Multiply-Accumulate */ *pOut++ += *px++ * coeff; /* Decrement the loop counter */ blkCnt--; } /* Load the coefficient value and * increment the coefficient buffer for the next set of state values */ coeff = *pCoeffs++; /* Read Index, from where the state buffer should be read, is calculated. */ readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; /* Wraparound of readIndex */ if(readIndex < 0) { readIndex += (int32_t) delaySize; } /* Decrement the tap loop counter */ tapCnt--; } #endif /* #ifndef ARM_MATH_CM0_FAMILY */ } /** * @} end of FIR_Sparse group */