Complex-by-Complex Multiplication

Collaboration diagram for Complex-by-Complex Multiplication:

Functions
void	tpt_cmplx_mult_cmplx_f32 (f32_t *__restrict aOutData, const f32_t *__restrict aInDataA, const f32_t *__restrict aInDataB, uint32_t aCount)
	Floating-point complex-by-complex multiplication. More...
void	tpt_cmplx_mult_cmplx_f64 (f64_t *__restrict aOutData, const f64_t *__restrict aInDataA, const f64_t *__restrict aInDataB, uint32_t aCount)
	Floating-point complex-by-complex multiplication. More...
void	tpt_cmplx_mult_cmplx_q15 (q1_14_t *__restrict aOutData, const q15_t *__restrict aInDataA, const q15_t *__restrict aInDataB, uint32_t aCount)
	Q15 complex-by-complex multiplication. More...
void	tpt_cmplx_mult_cmplx_q31 (q1_30_t *__restrict aOutData, const q31_t *__restrict aInDataA, const q31_t *__restrict aInDataB, uint32_t aCount)
	Q31 complex-by-complex multiplication. More...

Detailed Description

Multiplies a complex vector by another complex vector and generates a complex result. The data in the complex arrays is stored in an interleaved fashion (real, imag, real, imag, ...). The parameter aCount represents the number of complex samples processed. The complex arrays have a total of 2 * aCount real values.

The underlying algorithm is used:

    for (n = 0; n < aCount; n++)
    {
      aOutData[2 * n + 0] = aInDataA[2 * n + 0] * aInDataB[2 * n + 0]

aInDataA[2 * n + 1] * aInDataB[2 * n + 1];
      aOutData[2 * n + 1] = aInDataA[2 * n + 0] * aInDataB[2 * n + 1]
                          + aInDataA[2 * n + 1] * aInDataB[2 * n + 0];
    }
  

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

Function Documentation

tpt_cmplx_mult_cmplx_f32()

void tpt_cmplx_mult_cmplx_f32	(	f32_t *__restrict	aOutData,
		const f32_t *__restrict	aInDataA,
		const f32_t *__restrict	aInDataB,
		uint32_t	aCount
	)

Floating-point complex-by-complex multiplication.

Parameters

[out]	aOutData	points to output vector.
[in]	aInDataA	points to first input vector.
[in]	aInDataB	points to second input vector.
[in]	aCount	number of samples in each vector

Returns

none

tpt_cmplx_mult_cmplx_f64()

void tpt_cmplx_mult_cmplx_f64	(	f64_t *__restrict	aOutData,
		const f64_t *__restrict	aInDataA,
		const f64_t *__restrict	aInDataB,
		uint32_t	aCount
	)

Floating-point complex-by-complex multiplication.

Parameters

[out]	aOutData	points to output vector.
[in]	aInDataA	points to first input vector.
[in]	aInDataB	points to second input vector.
[in]	aCount	number of samples in each vector

Returns

none

tpt_cmplx_mult_cmplx_q15()

void tpt_cmplx_mult_cmplx_q15	(	q1_14_t *__restrict	aOutData,
		const q15_t *__restrict	aInDataA,
		const q15_t *__restrict	aInDataB,
		uint32_t	aCount
	)

Q15 complex-by-complex multiplication.

Parameters

[out]	aOutData	points to output vector.
[in]	aInDataA	points to first input vector.
[in]	aInDataB	points to second input vector.
[in]	aCount	number of samples in each vector

Returns

none

Scaling and Overflow Behavior

The function implements 1.15 by 1.15 multiplications and finally output is converted into 2.14 format.

tpt_cmplx_mult_cmplx_q31()

void tpt_cmplx_mult_cmplx_q31	(	q1_30_t *__restrict	aOutData,
		const q31_t *__restrict	aInDataA,
		const q31_t *__restrict	aInDataB,
		uint32_t	aCount
	)

Q31 complex-by-complex multiplication.

Parameters

[out]	aOutData	points to output vector.
[in]	aInDataA	points to first input vector.
[in]	aInDataB	points to second input vector.
[in]	aCount	number of samples in each vector

Returns

none

Scaling and Overflow Behavior

The function implements 1.31 by 1.31 multiplications and finally output is converted into 2.30 format. Input down scaling is not required.