DSP_fft32x32

DSP_fft32x32

Complex Forward Mixed Radix 32 x 32-bit FFT With Rounding

Function

 

void DSP_fft32x32(const int * restrict w, int nx, int * restrict x, int * restrict y)

 

Arguments

 

w[2*nx]

Pointer to complex 32-bit FFT coefficients.

 

 

nx

Length of FFT in complex samples. Must be power of 2 or 4,

 

 

 

and 16 nx 32768.

 

 

x[2*nx]

Pointer to complex 32-bit data input.

 

 

y[2*nx]

Pointer to complex 32-bit data output.

Description

 

This routine computes an extended precision complex forward mixed radix

 

 

FFT with rounding and digit reversal. Input data x[ ], output data y[ ], and

 

 

coefficients w[ ] are 32-bit. The output is returned in the separate array y[ ] in

 

 

normal order. Each complex value is stored with interleaved real and

 

 

imaginary parts. The code uses a special ordering of FFT coefficients (also

 

 

called twiddle factors) and memory accesses to improve performance in the

 

 

presence of cache. The C code to generate the twiddle factors is similar to the

 

 

one used for the DSP_fft16x16r routine, except that the factors are maintained

 

 

at 32-bit precision.

Algorithm

 

The C equivalent of the assembly code without restrictions is similar to the one

 

 

shown for the DSP_fft16x16t routine. For further details, see the source code

of the C version of this function, which is provided with this library. Note that the assembly code is hand optimized and restrictions may apply.

Special Requirements

-In-place computation is not allowed.

-The size of the FFT, nx, must be a power of 4 or 2 and greater than or equal to 16 and less than 32768.

-The arrays for the complex input data x[ ], complex output data y[ ], and twiddle factors w[ ] must be double-word aligned.

-The input and output data are complex, with the real/imaginary components stored in adjacent locations in the array. The real components are stored at even array indices, and the imaginary components are stored at odd array indices.

-The FFT coefficients (twiddle factors) are generated using the program tw_fft32x32 provided in the directory ‘support\fft’. The scale factor must be 2147483647.5. No scaling is done with the function; thus, the input data must be scaled by 2log2(nx) to completely prevent overflow.

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Texas Instruments TMS320C64X manual DSPfft32x32, Complex Forward Mixed Radix 32 x 32-bit FFT With Rounding