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src/Cortex-M4-M3/FilteringFunctions/arm_lms_q31.c@0:1014af42efd9, 2011-03-10 (annotated)
- Committer:
- simon
- Date:
- Thu Mar 10 15:07:50 2011 +0000
- Revision:
- 0:1014af42efd9
Who changed what in which revision?
User | Revision | Line number | New contents of line |
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simon | 0:1014af42efd9 | 1 | /* ---------------------------------------------------------------------- |
simon | 0:1014af42efd9 | 2 | * Copyright (C) 2010 ARM Limited. All rights reserved. |
simon | 0:1014af42efd9 | 3 | * |
simon | 0:1014af42efd9 | 4 | * $Date: 29. November 2010 |
simon | 0:1014af42efd9 | 5 | * $Revision: V1.0.3 |
simon | 0:1014af42efd9 | 6 | * |
simon | 0:1014af42efd9 | 7 | * Project: CMSIS DSP Library |
simon | 0:1014af42efd9 | 8 | * Title: arm_lms_q31.c |
simon | 0:1014af42efd9 | 9 | * |
simon | 0:1014af42efd9 | 10 | * Description: Processing function for the Q31 LMS filter. |
simon | 0:1014af42efd9 | 11 | * |
simon | 0:1014af42efd9 | 12 | * Target Processor: Cortex-M4/Cortex-M3 |
simon | 0:1014af42efd9 | 13 | * |
simon | 0:1014af42efd9 | 14 | * Version 1.0.3 2010/11/29 |
simon | 0:1014af42efd9 | 15 | * Re-organized the CMSIS folders and updated documentation. |
simon | 0:1014af42efd9 | 16 | * |
simon | 0:1014af42efd9 | 17 | * Version 1.0.2 2010/11/11 |
simon | 0:1014af42efd9 | 18 | * Documentation updated. |
simon | 0:1014af42efd9 | 19 | * |
simon | 0:1014af42efd9 | 20 | * Version 1.0.1 2010/10/05 |
simon | 0:1014af42efd9 | 21 | * Production release and review comments incorporated. |
simon | 0:1014af42efd9 | 22 | * |
simon | 0:1014af42efd9 | 23 | * Version 1.0.0 2010/09/20 |
simon | 0:1014af42efd9 | 24 | * Production release and review comments incorporated |
simon | 0:1014af42efd9 | 25 | * |
simon | 0:1014af42efd9 | 26 | * Version 0.0.7 2010/06/10 |
simon | 0:1014af42efd9 | 27 | * Misra-C changes done |
simon | 0:1014af42efd9 | 28 | * -------------------------------------------------------------------- */ |
simon | 0:1014af42efd9 | 29 | |
simon | 0:1014af42efd9 | 30 | #include "arm_math.h" |
simon | 0:1014af42efd9 | 31 | /** |
simon | 0:1014af42efd9 | 32 | * @ingroup groupFilters |
simon | 0:1014af42efd9 | 33 | */ |
simon | 0:1014af42efd9 | 34 | |
simon | 0:1014af42efd9 | 35 | /** |
simon | 0:1014af42efd9 | 36 | * @addtogroup LMS |
simon | 0:1014af42efd9 | 37 | * @{ |
simon | 0:1014af42efd9 | 38 | */ |
simon | 0:1014af42efd9 | 39 | |
simon | 0:1014af42efd9 | 40 | /** |
simon | 0:1014af42efd9 | 41 | * @brief Processing function for Q31 LMS filter. |
simon | 0:1014af42efd9 | 42 | * @param[in] *S points to an instance of the Q15 LMS filter structure. |
simon | 0:1014af42efd9 | 43 | * @param[in] *pSrc points to the block of input data. |
simon | 0:1014af42efd9 | 44 | * @param[in] *pRef points to the block of reference data. |
simon | 0:1014af42efd9 | 45 | * @param[out] *pOut points to the block of output data. |
simon | 0:1014af42efd9 | 46 | * @param[out] *pErr points to the block of error data. |
simon | 0:1014af42efd9 | 47 | * @param[in] blockSize number of samples to process. |
simon | 0:1014af42efd9 | 48 | * @return none. |
simon | 0:1014af42efd9 | 49 | * |
simon | 0:1014af42efd9 | 50 | * \par Scaling and Overflow Behavior: |
simon | 0:1014af42efd9 | 51 | * The function is implemented using an internal 64-bit accumulator. |
simon | 0:1014af42efd9 | 52 | * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. |
simon | 0:1014af42efd9 | 53 | * Thus, if the accumulator result overflows it wraps around rather than clips. |
simon | 0:1014af42efd9 | 54 | * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits. |
simon | 0:1014af42efd9 | 55 | * The reference signal should not be scaled down. |
simon | 0:1014af42efd9 | 56 | * After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format. |
simon | 0:1014af42efd9 | 57 | * The output signal and error signal are in 1.31 format. |
simon | 0:1014af42efd9 | 58 | * |
simon | 0:1014af42efd9 | 59 | * \par |
simon | 0:1014af42efd9 | 60 | * In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted. |
simon | 0:1014af42efd9 | 61 | */ |
simon | 0:1014af42efd9 | 62 | |
simon | 0:1014af42efd9 | 63 | void arm_lms_q31( |
simon | 0:1014af42efd9 | 64 | const arm_lms_instance_q31 * S, |
simon | 0:1014af42efd9 | 65 | q31_t * pSrc, |
simon | 0:1014af42efd9 | 66 | q31_t * pRef, |
simon | 0:1014af42efd9 | 67 | q31_t * pOut, |
simon | 0:1014af42efd9 | 68 | q31_t * pErr, |
simon | 0:1014af42efd9 | 69 | uint32_t blockSize) |
simon | 0:1014af42efd9 | 70 | { |
simon | 0:1014af42efd9 | 71 | q31_t *pState = S->pState; /* State pointer */ |
simon | 0:1014af42efd9 | 72 | uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ |
simon | 0:1014af42efd9 | 73 | q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ |
simon | 0:1014af42efd9 | 74 | q31_t *pStateCurnt; /* Points to the current sample of the state */ |
simon | 0:1014af42efd9 | 75 | q31_t mu = S->mu; /* Adaptive factor */ |
simon | 0:1014af42efd9 | 76 | q31_t *px; /* Temporary pointer for state */ |
simon | 0:1014af42efd9 | 77 | q31_t *pb; /* Temporary pointer for coefficient buffer */ |
simon | 0:1014af42efd9 | 78 | uint32_t tapCnt, blkCnt; /* Loop counters */ |
simon | 0:1014af42efd9 | 79 | q63_t acc; /* Accumulator */ |
simon | 0:1014af42efd9 | 80 | q31_t e = 0; /* error of data sample */ |
simon | 0:1014af42efd9 | 81 | q31_t alpha; /* Intermediate constant for taps update */ |
simon | 0:1014af42efd9 | 82 | uint8_t shift = (uint8_t) (32u - (S->postShift + 1u)); /* Shift to be applied to the output */ |
simon | 0:1014af42efd9 | 83 | q31_t coef; /* Temporary variable for coef */ |
simon | 0:1014af42efd9 | 84 | |
simon | 0:1014af42efd9 | 85 | /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ |
simon | 0:1014af42efd9 | 86 | /* pStateCurnt points to the location where the new input data should be written */ |
simon | 0:1014af42efd9 | 87 | pStateCurnt = &(S->pState[(numTaps - 1u)]); |
simon | 0:1014af42efd9 | 88 | |
simon | 0:1014af42efd9 | 89 | /* Initializing blkCnt with blockSize */ |
simon | 0:1014af42efd9 | 90 | blkCnt = blockSize; |
simon | 0:1014af42efd9 | 91 | |
simon | 0:1014af42efd9 | 92 | while(blkCnt > 0u) |
simon | 0:1014af42efd9 | 93 | { |
simon | 0:1014af42efd9 | 94 | /* Copy the new input sample into the state buffer */ |
simon | 0:1014af42efd9 | 95 | *pStateCurnt++ = *pSrc++; |
simon | 0:1014af42efd9 | 96 | |
simon | 0:1014af42efd9 | 97 | /* Initialize state pointer */ |
simon | 0:1014af42efd9 | 98 | px = pState; |
simon | 0:1014af42efd9 | 99 | |
simon | 0:1014af42efd9 | 100 | /* Initialize coefficient pointer */ |
simon | 0:1014af42efd9 | 101 | pb = pCoeffs; |
simon | 0:1014af42efd9 | 102 | |
simon | 0:1014af42efd9 | 103 | /* Set the accumulator to zero */ |
simon | 0:1014af42efd9 | 104 | acc = 0; |
simon | 0:1014af42efd9 | 105 | |
simon | 0:1014af42efd9 | 106 | /* Loop unrolling. Process 4 taps at a time. */ |
simon | 0:1014af42efd9 | 107 | tapCnt = numTaps >> 2; |
simon | 0:1014af42efd9 | 108 | |
simon | 0:1014af42efd9 | 109 | while(tapCnt > 0u) |
simon | 0:1014af42efd9 | 110 | { |
simon | 0:1014af42efd9 | 111 | /* Perform the multiply-accumulate */ |
simon | 0:1014af42efd9 | 112 | /* acc += b[N] * x[n-N] */ |
simon | 0:1014af42efd9 | 113 | acc += ((q63_t) (*px++)) * (*pb++); |
simon | 0:1014af42efd9 | 114 | |
simon | 0:1014af42efd9 | 115 | /* acc += b[N-1] * x[n-N-1] */ |
simon | 0:1014af42efd9 | 116 | acc += ((q63_t) (*px++)) * (*pb++); |
simon | 0:1014af42efd9 | 117 | |
simon | 0:1014af42efd9 | 118 | /* acc += b[N-2] * x[n-N-2] */ |
simon | 0:1014af42efd9 | 119 | acc += ((q63_t) (*px++)) * (*pb++); |
simon | 0:1014af42efd9 | 120 | |
simon | 0:1014af42efd9 | 121 | /* acc += b[N-3] * x[n-N-3] */ |
simon | 0:1014af42efd9 | 122 | acc += ((q63_t) (*px++)) * (*pb++); |
simon | 0:1014af42efd9 | 123 | |
simon | 0:1014af42efd9 | 124 | /* Decrement the loop counter */ |
simon | 0:1014af42efd9 | 125 | tapCnt--; |
simon | 0:1014af42efd9 | 126 | } |
simon | 0:1014af42efd9 | 127 | |
simon | 0:1014af42efd9 | 128 | /* If the filter length is not a multiple of 4, compute the remaining filter taps */ |
simon | 0:1014af42efd9 | 129 | tapCnt = numTaps % 0x4u; |
simon | 0:1014af42efd9 | 130 | |
simon | 0:1014af42efd9 | 131 | while(tapCnt > 0u) |
simon | 0:1014af42efd9 | 132 | { |
simon | 0:1014af42efd9 | 133 | /* Perform the multiply-accumulate */ |
simon | 0:1014af42efd9 | 134 | acc += ((q63_t) (*px++)) * (*pb++); |
simon | 0:1014af42efd9 | 135 | |
simon | 0:1014af42efd9 | 136 | /* Decrement the loop counter */ |
simon | 0:1014af42efd9 | 137 | tapCnt--; |
simon | 0:1014af42efd9 | 138 | } |
simon | 0:1014af42efd9 | 139 | |
simon | 0:1014af42efd9 | 140 | /* Converting the result to 1.31 format */ |
simon | 0:1014af42efd9 | 141 | /* Store the result from accumulator into the destination buffer. */ |
simon | 0:1014af42efd9 | 142 | acc = (q31_t) (acc >> shift); |
simon | 0:1014af42efd9 | 143 | |
simon | 0:1014af42efd9 | 144 | *pOut++ = (q31_t) acc; |
simon | 0:1014af42efd9 | 145 | |
simon | 0:1014af42efd9 | 146 | /* Compute and store error */ |
simon | 0:1014af42efd9 | 147 | e = *pRef++ - (q31_t) acc; |
simon | 0:1014af42efd9 | 148 | |
simon | 0:1014af42efd9 | 149 | *pErr++ = (q31_t) e; |
simon | 0:1014af42efd9 | 150 | |
simon | 0:1014af42efd9 | 151 | /* Compute alpha i.e. intermediate constant for taps update */ |
simon | 0:1014af42efd9 | 152 | alpha = (q31_t) (((q63_t) e * mu) >> 31); |
simon | 0:1014af42efd9 | 153 | |
simon | 0:1014af42efd9 | 154 | /* Initialize state pointer */ |
simon | 0:1014af42efd9 | 155 | /* Advance state pointer by 1 for the next sample */ |
simon | 0:1014af42efd9 | 156 | px = pState++; |
simon | 0:1014af42efd9 | 157 | |
simon | 0:1014af42efd9 | 158 | /* Initialize coefficient pointer */ |
simon | 0:1014af42efd9 | 159 | pb = pCoeffs; |
simon | 0:1014af42efd9 | 160 | |
simon | 0:1014af42efd9 | 161 | /* Loop unrolling. Process 4 taps at a time. */ |
simon | 0:1014af42efd9 | 162 | tapCnt = numTaps >> 2; |
simon | 0:1014af42efd9 | 163 | |
simon | 0:1014af42efd9 | 164 | /* Update filter coefficients */ |
simon | 0:1014af42efd9 | 165 | while(tapCnt > 0u) |
simon | 0:1014af42efd9 | 166 | { |
simon | 0:1014af42efd9 | 167 | /* coef is in 2.30 format */ |
simon | 0:1014af42efd9 | 168 | coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); |
simon | 0:1014af42efd9 | 169 | /* get coef in 1.31 format by left shifting */ |
simon | 0:1014af42efd9 | 170 | *pb = clip_q63_to_q31((q63_t) *pb + (coef << 1u)); |
simon | 0:1014af42efd9 | 171 | /* update coefficient buffer to next coefficient */ |
simon | 0:1014af42efd9 | 172 | pb++; |
simon | 0:1014af42efd9 | 173 | |
simon | 0:1014af42efd9 | 174 | coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); |
simon | 0:1014af42efd9 | 175 | *pb = clip_q63_to_q31((q63_t) *pb + (coef << 1u)); |
simon | 0:1014af42efd9 | 176 | pb++; |
simon | 0:1014af42efd9 | 177 | |
simon | 0:1014af42efd9 | 178 | coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); |
simon | 0:1014af42efd9 | 179 | *pb = clip_q63_to_q31((q63_t) *pb + (coef << 1u)); |
simon | 0:1014af42efd9 | 180 | pb++; |
simon | 0:1014af42efd9 | 181 | |
simon | 0:1014af42efd9 | 182 | coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); |
simon | 0:1014af42efd9 | 183 | *pb = clip_q63_to_q31((q63_t) *pb + (coef << 1u)); |
simon | 0:1014af42efd9 | 184 | pb++; |
simon | 0:1014af42efd9 | 185 | |
simon | 0:1014af42efd9 | 186 | /* Decrement the loop counter */ |
simon | 0:1014af42efd9 | 187 | tapCnt--; |
simon | 0:1014af42efd9 | 188 | } |
simon | 0:1014af42efd9 | 189 | |
simon | 0:1014af42efd9 | 190 | /* If the filter length is not a multiple of 4, compute the remaining filter taps */ |
simon | 0:1014af42efd9 | 191 | tapCnt = numTaps % 0x4u; |
simon | 0:1014af42efd9 | 192 | |
simon | 0:1014af42efd9 | 193 | while(tapCnt > 0u) |
simon | 0:1014af42efd9 | 194 | { |
simon | 0:1014af42efd9 | 195 | /* Perform the multiply-accumulate */ |
simon | 0:1014af42efd9 | 196 | coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); |
simon | 0:1014af42efd9 | 197 | *pb = clip_q63_to_q31((q63_t) *pb + (coef << 1u)); |
simon | 0:1014af42efd9 | 198 | pb++; |
simon | 0:1014af42efd9 | 199 | |
simon | 0:1014af42efd9 | 200 | /* Decrement the loop counter */ |
simon | 0:1014af42efd9 | 201 | tapCnt--; |
simon | 0:1014af42efd9 | 202 | } |
simon | 0:1014af42efd9 | 203 | |
simon | 0:1014af42efd9 | 204 | /* Decrement the loop counter */ |
simon | 0:1014af42efd9 | 205 | blkCnt--; |
simon | 0:1014af42efd9 | 206 | } |
simon | 0:1014af42efd9 | 207 | |
simon | 0:1014af42efd9 | 208 | /* Processing is complete. Now copy the last numTaps - 1 samples to the |
simon | 0:1014af42efd9 | 209 | satrt of the state buffer. This prepares the state buffer for the |
simon | 0:1014af42efd9 | 210 | next function call. */ |
simon | 0:1014af42efd9 | 211 | |
simon | 0:1014af42efd9 | 212 | /* Points to the start of the pState buffer */ |
simon | 0:1014af42efd9 | 213 | pStateCurnt = S->pState; |
simon | 0:1014af42efd9 | 214 | |
simon | 0:1014af42efd9 | 215 | /* Loop unrolling for (numTaps - 1u) samples copy */ |
simon | 0:1014af42efd9 | 216 | tapCnt = (numTaps - 1u) >> 2u; |
simon | 0:1014af42efd9 | 217 | |
simon | 0:1014af42efd9 | 218 | /* copy data */ |
simon | 0:1014af42efd9 | 219 | while(tapCnt > 0u) |
simon | 0:1014af42efd9 | 220 | { |
simon | 0:1014af42efd9 | 221 | *pStateCurnt++ = *pState++; |
simon | 0:1014af42efd9 | 222 | *pStateCurnt++ = *pState++; |
simon | 0:1014af42efd9 | 223 | *pStateCurnt++ = *pState++; |
simon | 0:1014af42efd9 | 224 | *pStateCurnt++ = *pState++; |
simon | 0:1014af42efd9 | 225 | |
simon | 0:1014af42efd9 | 226 | /* Decrement the loop counter */ |
simon | 0:1014af42efd9 | 227 | tapCnt--; |
simon | 0:1014af42efd9 | 228 | } |
simon | 0:1014af42efd9 | 229 | |
simon | 0:1014af42efd9 | 230 | /* Calculate remaining number of copies */ |
simon | 0:1014af42efd9 | 231 | tapCnt = (numTaps - 1u) % 0x4u; |
simon | 0:1014af42efd9 | 232 | |
simon | 0:1014af42efd9 | 233 | /* Copy the remaining q31_t data */ |
simon | 0:1014af42efd9 | 234 | while(tapCnt > 0u) |
simon | 0:1014af42efd9 | 235 | { |
simon | 0:1014af42efd9 | 236 | *pStateCurnt++ = *pState++; |
simon | 0:1014af42efd9 | 237 | |
simon | 0:1014af42efd9 | 238 | /* Decrement the loop counter */ |
simon | 0:1014af42efd9 | 239 | tapCnt--; |
simon | 0:1014af42efd9 | 240 | } |
simon | 0:1014af42efd9 | 241 | |
simon | 0:1014af42efd9 | 242 | } |
simon | 0:1014af42efd9 | 243 | |
simon | 0:1014af42efd9 | 244 | /** |
simon | 0:1014af42efd9 | 245 | * @} end of LMS group |
simon | 0:1014af42efd9 | 246 | */ |