Research Article

Vector Radix 2 × 2 Sliding Fast Fourier Transform

Table 1

Computational requirements of the 2D DFT/FFT algorithms for input data in the sliding window scenario.

AlgorithmOperationWindow size

1D DFT ×25124,09632,768262,1442,097,152
4483,84031,744258,0482,080,768

1D FFT ×21287684,09620,48098,304
1921,1526,14430,720147,456

1D SFFT + 1-D FFT1126083,00814,20865,280
1689124,51221,31297,920

VR-2 × 2 FFT965763,07215,36073,728
1761,0565,63228,160135,168

2D MFFT803041,1524,41617,152
923361,2324,60817,600

2D SDFT802881,0884,22416,640
782821,0744,19416,578

1D rSDFT + 1-D FFT1607683,58416,38473,728
1929604,60821,50498,304

1D mSDFT + 1-D FFT2561,1525,12022,52898,304
2561,2165,63225,600114,688

1D gSDFT + 1-D FFT645122,81614,33669,632
1349124,76823,616112,768

VR-2 × 2 SFFT482249603,96816,128
964481,9207,93632,256