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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_lms_norm_q15.c
*
* Description: Q15 NLMS filter.
*
* 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
*/
/**
* @addtogroup LMS_NORM
* @{
*/
/**
* @brief Processing function for Q15 normalized LMS filter.
* @param[in] *S points to an instance of the Q15 normalized 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.
*
* <b>Scaling and Overflow Behavior:</b>
* \par
* The function is implemented using a 64-bit internal accumulator.
* Both coefficients and state variables are represented in 1.15 format and
* multiplications yield a 2.30 result. The 2.30 intermediate results are
* accumulated in a 64-bit accumulator in 34.30 format.
* There is no risk of internal overflow with this approach and the full
* precision of intermediate multiplications is preserved. After all additions
* have been performed, the accumulator is truncated to 34.15 format by
* discarding low 15 bits. Lastly, the accumulator is saturated to yield a
* result in 1.15 format.
*
* \par
* In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted.
*
*/
void arm_lms_norm_q15(
arm_lms_norm_instance_q15 * S,
q15_t * pSrc,
q15_t * pRef,
q15_t * pOut,
q15_t * pErr,
uint32_t blockSize)
{
q15_t *pState = S->pState; /* State pointer */
q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
q15_t *pStateCurnt; /* Points to the current sample of the state */
q15_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
q15_t mu = S->mu; /* Adaptive factor */
uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
uint32_t tapCnt, blkCnt; /* Loop counters */
q31_t energy; /* Energy of the input */
q63_t acc; /* Accumulator */
q15_t e = 0, d = 0; /* error, reference data sample */
q15_t w = 0, in; /* weight factor and state */
q15_t x0; /* temporary variable to hold input sample */
//uint32_t shift = (uint32_t) S->postShift + 1u; /* Shift to be applied to the output */
q15_t errorXmu, oneByEnergy; /* Temporary variables to store error and mu product and reciprocal of energy */
q15_t postShift; /* Post shift to be applied to weight after reciprocal calculation */
q31_t coef; /* Teporary variable for coefficient */
q31_t acc_l, acc_h;
int32_t lShift = (15 - (int32_t) S->postShift); /* Post shift */
int32_t uShift = (32 - lShift);
energy = S->energy;
x0 = S->x0;
/* 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)]);
/* Loop over blockSize number of values */
blkCnt = blockSize;
#ifndef ARM_MATH_CM0_FAMILY
/* 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 pState pointer */
px = pState;
/* Initialize coeff pointer */
pb = (pCoeffs);
/* Read the sample from input buffer */
in = *pSrc++;
/* Update the energy calculation */
energy -= (((q31_t) x0 * (x0)) >> 15);
energy += (((q31_t) in * (in)) >> 15);
/* 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 */
#ifndef UNALIGNED_SUPPORT_DISABLE
acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc);
acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc);
#else
acc += (((q31_t) * px++ * (*pb++)));
acc += (((q31_t) * px++ * (*pb++)));
acc += (((q31_t) * px++ * (*pb++)));
acc += (((q31_t) * px++ * (*pb++)));
#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */
/* 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 += (((q31_t) * px++ * (*pb++)));
/* Decrement the loop counter */
tapCnt--;
}
/* Calc lower part of acc */
acc_l = acc & 0xffffffff;
/* Calc upper part of acc */
acc_h = (acc >> 32) & 0xffffffff;
/* Apply shift for lower part of acc and upper part of acc */
acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
/* Converting the result to 1.15 format and saturate the output */
acc = __SSAT(acc, 16u);
/* Store the result from accumulator into the destination buffer. */
*pOut++ = (q15_t) acc;
/* Compute and store error */
d = *pRef++;
e = d - (q15_t) acc;
*pErr++ = e;
/* Calculation of 1/energy */
postShift = arm_recip_q15((q15_t) energy + DELTA_Q15,
&oneByEnergy, S->recipTable);
/* Calculation of e * mu value */
errorXmu = (q15_t) (((q31_t) e * mu) >> 15);
/* Calculation of (e * mu) * (1/energy) value */
acc = (((q31_t) errorXmu * oneByEnergy) >> (15 - postShift));
/* Weighting factor for the normalized version */
w = (q15_t) __SSAT((q31_t) acc, 16);
/* Initialize pState pointer */
px = pState;
/* Initialize coeff pointer */
pb = (pCoeffs);
/* Loop unrolling. Process 4 taps at a time. */
tapCnt = numTaps >> 2;
/* Update filter coefficients */
while(tapCnt > 0u)
{
coef = *pb + (((q31_t) w * (*px++)) >> 15);
*pb++ = (q15_t) __SSAT((coef), 16);
coef = *pb + (((q31_t) w * (*px++)) >> 15);
*pb++ = (q15_t) __SSAT((coef), 16);
coef = *pb + (((q31_t) w * (*px++)) >> 15);
*pb++ = (q15_t) __SSAT((coef), 16);
coef = *pb + (((q31_t) w * (*px++)) >> 15);
*pb++ = (q15_t) __SSAT((coef), 16);
/* 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 = *pb + (((q31_t) w * (*px++)) >> 15);
*pb++ = (q15_t) __SSAT((coef), 16);
/* Decrement the loop counter */
tapCnt--;
}
/* Read the sample from state buffer */
x0 = *pState;
/* Advance state pointer by 1 for the next sample */
pState = pState + 1u;
/* Decrement the loop counter */
blkCnt--;
}
/* Save energy and x0 values for the next frame */
S->energy = (q15_t) energy;
S->x0 = x0;
/* 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;
/* Calculation of count for copying integer writes */
tapCnt = (numTaps - 1u) >> 2;
while(tapCnt > 0u)
{
#ifndef UNALIGNED_SUPPORT_DISABLE
*__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
*__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
#else
*pStateCurnt++ = *pState++;
*pStateCurnt++ = *pState++;
*pStateCurnt++ = *pState++;
*pStateCurnt++ = *pState++;
#endif
tapCnt--;
}
/* Calculation of count for remaining q15_t data */
tapCnt = (numTaps - 1u) % 0x4u;
/* copy 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;
/* Read the sample from input buffer */
in = *pSrc++;
/* Update the energy calculation */
energy -= (((q31_t) x0 * (x0)) >> 15);
energy += (((q31_t) in * (in)) >> 15);
/* Set the accumulator to zero */
acc = 0;
/* Loop over numTaps number of values */
tapCnt = numTaps;
while(tapCnt > 0u)
{
/* Perform the multiply-accumulate */
acc += (((q31_t) * px++ * (*pb++)));
/* Decrement the loop counter */
tapCnt--;
}
/* Calc lower part of acc */
acc_l = acc & 0xffffffff;
/* Calc upper part of acc */
acc_h = (acc >> 32) & 0xffffffff;
/* Apply shift for lower part of acc and upper part of acc */
acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
/* Converting the result to 1.15 format and saturate the output */
acc = __SSAT(acc, 16u);
/* Converting the result to 1.15 format */
//acc = __SSAT((acc >> (16u - shift)), 16u);
/* Store the result from accumulator into the destination buffer. */
*pOut++ = (q15_t) acc;
/* Compute and store error */
d = *pRef++;
e = d - (q15_t) acc;
*pErr++ = e;
/* Calculation of 1/energy */
postShift = arm_recip_q15((q15_t) energy + DELTA_Q15,
&oneByEnergy, S->recipTable);
/* Calculation of e * mu value */
errorXmu = (q15_t) (((q31_t) e * mu) >> 15);
/* Calculation of (e * mu) * (1/energy) value */
acc = (((q31_t) errorXmu * oneByEnergy) >> (15 - postShift));
/* Weighting factor for the normalized version */
w = (q15_t) __SSAT((q31_t) acc, 16);
/* Initialize pState pointer */
px = pState;
/* Initialize coeff pointer */
pb = (pCoeffs);
/* Loop over numTaps number of values */
tapCnt = numTaps;
while(tapCnt > 0u)
{
/* Perform the multiply-accumulate */
coef = *pb + (((q31_t) w * (*px++)) >> 15);
*pb++ = (q15_t) __SSAT((coef), 16);
/* Decrement the loop counter */
tapCnt--;
}
/* Read the sample from state buffer */
x0 = *pState;
/* Advance state pointer by 1 for the next sample */
pState = pState + 1u;
/* Decrement the loop counter */
blkCnt--;
}
/* Save energy and x0 values for the next frame */
S->energy = (q15_t) energy;
S->x0 = x0;
/* 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;
/* copy (numTaps - 1u) data */
tapCnt = (numTaps - 1u);
/* copy data */
while(tapCnt > 0u)
{
*pStateCurnt++ = *pState++;
/* Decrement the loop counter */
tapCnt--;
}
#endif /* #ifndef ARM_MATH_CM0_FAMILY */
}
/**
* @} end of LMS_NORM group
*/