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Complex-by-Real Multiplication

Complex-by-Real Multiplication
[Complex Math Functions]

Multiplies a complex vector by a real vector and generates a complex result. More...

Functions

void arm_cmplx_mult_real_f32 (float32_t *pSrcCmplx, float32_t *pSrcReal, float32_t *pCmplxDst, uint32_t numSamples)
 Floating-point complex-by-real multiplication.
void arm_cmplx_mult_real_q15 (q15_t *pSrcCmplx, q15_t *pSrcReal, q15_t *pCmplxDst, uint32_t numSamples)
 Q15 complex-by-real multiplication.
void arm_cmplx_mult_real_q31 (q31_t *pSrcCmplx, q31_t *pSrcReal, q31_t *pCmplxDst, uint32_t numSamples)
 Q31 complex-by-real multiplication.

Detailed Description

Multiplies a complex vector by a real vector and generates a complex result.

The data in the complex arrays is stored in an interleaved fashion (real, imag, real, imag, ...). The parameter numSamples represents the number of complex samples processed. The complex arrays have a total of 2*numSamples real values while the real array has a total of numSamples real values.

The underlying algorithm is used:

  
 for(n=0; n<numSamples; n++) {  
     pCmplxDst[(2*n)+0] = pSrcCmplx[(2*n)+0] * pSrcReal[n];  
     pCmplxDst[(2*n)+1] = pSrcCmplx[(2*n)+1] * pSrcReal[n];  
 }  
 

There are separate functions for floating-point, Q15, and Q31 data types.


Function Documentation

void arm_cmplx_mult_real_f32 ( float32_t *  pSrcCmplx,
float32_t *  pSrcReal,
float32_t *  pCmplxDst,
uint32_t  numSamples 
)

Floating-point complex-by-real multiplication.

Parameters:
[in]*pSrcCmplxpoints to the complex input vector
[in]*pSrcRealpoints to the real input vector
[out]*pCmplxDstpoints to the complex output vector
[in]numSamplesnumber of samples in each vector
Returns:
none.

Definition at line 71 of file arm_cmplx_mult_real_f32.c.

void arm_cmplx_mult_real_q15 ( q15_t *  pSrcCmplx,
q15_t *  pSrcReal,
q15_t *  pCmplxDst,
uint32_t  numSamples 
)

Q15 complex-by-real multiplication.

Parameters:
[in]*pSrcCmplxpoints to the complex input vector
[in]*pSrcRealpoints to the real input vector
[out]*pCmplxDstpoints to the complex output vector
[in]numSamplesnumber of samples in each vector
Returns:
none.

Scaling and Overflow Behavior:

The function uses saturating arithmetic. Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated.

Definition at line 53 of file arm_cmplx_mult_real_q15.c.

void arm_cmplx_mult_real_q31 ( q31_t *  pSrcCmplx,
q31_t *  pSrcReal,
q31_t *  pCmplxDst,
uint32_t  numSamples 
)

Q31 complex-by-real multiplication.

Parameters:
[in]*pSrcCmplxpoints to the complex input vector
[in]*pSrcRealpoints to the real input vector
[out]*pCmplxDstpoints to the complex output vector
[in]numSamplesnumber of samples in each vector
Returns:
none.

Scaling and Overflow Behavior:

The function uses saturating arithmetic. Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated.

Definition at line 53 of file arm_cmplx_mult_real_q31.c.