/* ---------------------------------------------------------------------- * Project: CMSIS DSP Library * Title: arm_lms_q31.c * Description: Processing function for the Q31 LMS filter * * $Date: 27. January 2017 * $Revision: V.1.5.1 * * Target Processor: Cortex-M cores * -------------------------------------------------------------------- */ /* * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. * * SPDX-License-Identifier: Apache-2.0 * * Licensed under the Apache License, Version 2.0 (the License); you may * not use this file except in compliance with the License. * You may obtain a copy of the License at * * www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an AS IS BASIS, WITHOUT * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ #include "arm_math.h" /** * @ingroup groupFilters */ /** * @addtogroup LMS * @{ */ /** * @brief Processing function for Q31 LMS filter. * @param[in] *S points to an instance of the Q15 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. * * \par Scaling and Overflow Behavior: * The function is implemented using an internal 64-bit accumulator. * The accumulator has a 2.62 format and maintains full precision of the intermediate * multiplication results but provides only a single guard bit. * Thus, if the accumulator result overflows it wraps around rather than clips. * In order to avoid overflows completely the input signal must be scaled down by * log2(numTaps) bits. * The reference signal should not be scaled down. * After all multiply-accumulates are performed, the 2.62 accumulator is shifted * and saturated to 1.31 format to yield the final result. * The output signal and error signal are in 1.31 format. * * \par * In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted. */ void arm_lms_q31( const arm_lms_instance_q31 * S, q31_t * pSrc, q31_t * pRef, q31_t * pOut, q31_t * pErr, uint32_t blockSize) { q31_t *pState = S->pState; /* State pointer */ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ q31_t *pStateCurnt; /* Points to the current sample of the state */ q31_t mu = S->mu; /* Adaptive factor */ q31_t *px; /* Temporary pointer for state */ q31_t *pb; /* Temporary pointer for coefficient buffer */ uint32_t tapCnt, blkCnt; /* Loop counters */ q63_t acc; /* Accumulator */ q31_t e = 0; /* error of data sample */ q31_t alpha; /* Intermediate constant for taps update */ q31_t coef; /* Temporary variable for coef */ q31_t acc_l, acc_h; /* temporary input */ uint32_t uShift = ((uint32_t) S->postShift + 1U); uint32_t lShift = 32U - uShift; /* Shift to be applied to the output */ /* 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)]); /* Initializing blkCnt with blockSize */ blkCnt = blockSize; #if defined (ARM_MATH_DSP) /* 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 state pointer */ px = pState; /* Initialize coefficient pointer */ pb = pCoeffs; /* Set the accumulator to zero */ acc = 0; /* Loop unrolling. Process 4 taps at a time. */ tapCnt = numTaps >> 2; while (tapCnt > 0U) { /* Perform the multiply-accumulate */ /* acc += b[N] * x[n-N] */ acc += ((q63_t) (*px++)) * (*pb++); /* acc += b[N-1] * x[n-N-1] */ acc += ((q63_t) (*px++)) * (*pb++); /* acc += b[N-2] * x[n-N-2] */ acc += ((q63_t) (*px++)) * (*pb++); /* acc += b[N-3] * x[n-N-3] */ acc += ((q63_t) (*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 */ acc += ((q63_t) (*px++)) * (*pb++); /* Decrement the loop counter */ tapCnt--; } /* Converting the result to 1.31 format */ /* Calc lower part of acc */ acc_l = acc & 0xffffffff; /* Calc upper part of acc */ acc_h = (acc >> 32) & 0xffffffff; acc = (uint32_t) acc_l >> lShift | acc_h << uShift; /* Store the result from accumulator into the destination buffer. */ *pOut++ = (q31_t) acc; /* Compute and store error */ e = *pRef++ - (q31_t) acc; *pErr++ = (q31_t) e; /* Compute alpha i.e. intermediate constant for taps update */ alpha = (q31_t) (((q63_t) e * mu) >> 31); /* Initialize state pointer */ /* Advance state pointer by 1 for the next sample */ px = pState++; /* Initialize coefficient pointer */ pb = pCoeffs; /* Loop unrolling. Process 4 taps at a time. */ tapCnt = numTaps >> 2; /* Update filter coefficients */ while (tapCnt > 0U) { /* coef is in 2.30 format */ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); /* get coef in 1.31 format by left shifting */ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); /* update coefficient buffer to next coefficient */ pb++; coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); pb++; coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); pb++; coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); 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 */ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); pb++; /* Decrement the loop counter */ tapCnt--; } /* Decrement the loop counter */ blkCnt--; } /* 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) 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; /* Set the accumulator to zero */ acc = 0; /* Loop over numTaps number of values */ tapCnt = numTaps; while (tapCnt > 0U) { /* Perform the multiply-accumulate */ acc += ((q63_t) (*px++)) * (*pb++); /* Decrement the loop counter */ tapCnt--; } /* Converting the result to 1.31 format */ /* Store the result from accumulator into the destination buffer. */ /* Calc lower part of acc */ acc_l = acc & 0xffffffff; /* Calc upper part of acc */ acc_h = (acc >> 32) & 0xffffffff; acc = (uint32_t) acc_l >> lShift | acc_h << uShift; *pOut++ = (q31_t) acc; /* Compute and store error */ e = *pRef++ - (q31_t) acc; *pErr++ = (q31_t) e; /* Weighting factor for the LMS version */ alpha = (q31_t) (((q63_t) e * mu) >> 31); /* Initialize pState pointer */ /* Advance state pointer by 1 for the next sample */ px = pState++; /* Initialize pCoeffs pointer */ pb = pCoeffs; /* Loop over numTaps number of values */ tapCnt = numTaps; while (tapCnt > 0U) { /* Perform the multiply-accumulate */ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); pb++; /* Decrement the loop counter */ tapCnt--; } /* Decrement the loop counter */ blkCnt--; } /* Processing is complete. Now copy the last numTaps - 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 pState buffer */ pStateCurnt = S->pState; /* Copy (numTaps - 1U) samples */ tapCnt = (numTaps - 1U); /* Copy the data */ while (tapCnt > 0U) { *pStateCurnt++ = *pState++; /* Decrement the loop counter */ tapCnt--; } #endif /* #if defined (ARM_MATH_DSP) */ } /** * @} end of LMS group */