CMSIS DSP Library from CMSIS 2.0. See http://www.onarm.com/cmsis/ for full details
Dependents: K22F_DSP_Matrix_least_square BNO055-ELEC3810 1BNO055 ECE4180Project--Slave2 ... more
Diff: src/Cortex-M4-M3/StatisticsFunctions/arm_rms_q31.c
- Revision:
- 0:1014af42efd9
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/Cortex-M4-M3/StatisticsFunctions/arm_rms_q31.c Thu Mar 10 15:07:50 2011 +0000 @@ -0,0 +1,115 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010 ARM Limited. All rights reserved. +* +* $Date: 29. November 2010 +* $Revision: V1.0.3 +* +* Project: CMSIS DSP Library +* Title: arm_rms_q31.c +* +* Description: root mean square value of an array of Q31 type +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Version 1.0.3 2010/11/29 +* Re-organized the CMSIS folders and updated documentation. +* +* Version 1.0.2 2010/11/11 +* Documentation updated. +* +* Version 1.0.1 2010/10/05 +* Production release and review comments incorporated. +* +* Version 1.0.0 2010/09/20 +* Production release and review comments incorporated. +* ---------------------------------------------------------------------------- */ + +#include "arm_math.h" + +/** + * @addtogroup RMS + * @{ + */ + + +/** + * @brief Root Mean Square of the elements of a Q31 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult rms value returned here + * @return none. + * + * @details + * <b>Scaling and Overflow Behavior:</b> + * + *\par + * The function is implemented using an internal 64-bit accumulator. + * The input is represented in 1.31 format, and intermediate multiplication + * yields a 2.62 format. + * The accumulator maintains full precision of the intermediate multiplication results, + * but provides only a single guard bit. + * There is no saturation on intermediate additions. + * If the accumulator overflows, it wraps around and distorts the result. + * In order to avoid overflows completely, the input signal must be scaled down by + * log2(blockSize) bits, as a total of blockSize additions are performed internally. + * Finally, the 2.62 accumulator is right shifted by 31 bits to yield a 1.31 format value. + * + */ + +void arm_rms_q31( + q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + q31_t *pIn1 = pSrc; /* SrcA pointer */ + q63_t sum = 0; /* accumulator */ + q31_t in; /* Temporary variable to store the input */ + uint32_t blkCnt; /* loop counter */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2u; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while(blkCnt > 0u) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute sum of the squares and then store the result in a temporary variable, sum */ + in = *pIn1++; + sum += (q63_t) in *in; + in = *pIn1++; + sum += (q63_t) in *in; + in = *pIn1++; + sum += (q63_t) in *in; + in = *pIn1++; + sum += (q63_t) in *in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4u; + + while(blkCnt > 0u) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute sum of the squares and then store the results in a temporary variable, sum */ + in = *pIn1++; + sum += (q63_t) in *in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Convert data in 2.62 to 1.31 by 31 right shifts */ + sum = sum >> 31; + + /* Compute Rms and store the result in the destination vector */ + arm_sqrt_q31((q31_t) (sum / (int32_t) blockSize), pResult); +} + +/** + * @} end of RMS group + */