LIBML  Version 3.2.4
LIBML DSP Software Library
Functions
Vector Inverse Clarke Transform
Collaboration diagram for Vector Inverse Clarke Transform:

Functions

static void tpt_inv_clarke_f32 (f32_t *pIa, f32_t *pIb, f32_t Ialpha, f32_t Ibeta)
 Floating-point Inverse Clarke transform. More...
 
static void tpt_inv_clarke_q31 (q31_t *pIa, q31_t *pIb, q31_t Ialpha, q31_t Ibeta)
 Inverse Clarke transform for Q31 version. More...
 

Detailed Description

Inverse Clarke transform converts the two-coordinate time invariant vector into instantaneous stator phases.

The function operates on a single sample of data and each call to the function returns the processed output. The library provides separate functions for Q31 and floating-point data types.

Algorithm
where pIa and pIb are the instantaneous stator phases and Ialpha and Ibeta are the two coordinates of time invariant vector.
Fixed-Point Behavior
Care must be taken when using the Q31 version of the Clarke transform. In particular, the overflow and saturation behavior of the accumulator used must be considered. Refer to the function specific documentation below for usage guidelines.

Function Documentation

◆ tpt_inv_clarke_f32()

static void tpt_inv_clarke_f32 ( f32_t pIa,
f32_t pIb,
f32_t  Ialpha,
f32_t  Ibeta 
)
inlinestatic

Floating-point Inverse Clarke transform.

Parameters
[out]pIapoints to output three-phase coordinate a.
[out]pIbpoints to output three-phase coordinate b.
[in]Ialphainput two-phase orthogonal vector axis alpha
[in]Ibetainput two-phase orthogonal vector axis beta
Returns
none

◆ tpt_inv_clarke_q31()

static void tpt_inv_clarke_q31 ( q31_t pIa,
q31_t pIb,
q31_t  Ialpha,
q31_t  Ibeta 
)
inlinestatic

Inverse Clarke transform for Q31 version.

Parameters
[out]pIapoints to output three-phase coordinate a.
[out]pIbpoints to output three-phase coordinate b.
[in]Ialphainput two-phase orthogonal vector axis alpha
[in]Ibetainput two-phase orthogonal vector axis beta
Returns
none
Scaling and Overflow Behavior
The function is implemented using an internal 32-bit accumulator. The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. There is saturation on the subtraction, hence there is no risk of overflow.