Abstract

Discrete Fourier transform (DFT) is widespread used in many fields of science and engineering. DFT is implemented with efficient algorithms categorized as fast Fourier transform. A fast algorithm is proposed for computing a length-N=6m DFT. The proposed algorithm is a blend of radix-3 and radix-6 FFT. It is a variant of split radix and can be flexibly implemented a length 2r×3m DFT. Novel order permutation of sub-DFTs and reduction of the number of arithmetic operations enhance the practicability of the proposed algorithm. It inherently provides a wider choice of accessible FFT's lengths.

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