DSP/Source/FilteringFunctions/arm_lms_q31.c

/* ----------------------------------------------------------------------
 * 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
   */