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arXiv · 1502.01566

A Matrix Laurent Series-based Fast Fourier Transform for Blocklengths N=4 (mod 8)

H. M. de Oliveira·R. M. Campello de Souza·R. C. de Oliveira
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Abstract

General guidelines for a new fast computation of blocklength 8m+4 DFTs are presented, which is based on a Laurent series involving matrices. Results of non-trivial real multiplicative complexity are presented for blocklengths N=64, achieving lower multiplication counts than previously published FFTs. A detailed description for the cases m=1 and m=2 is presented.

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H. M. de Oliveira, R. M. Campello de Souza, R. C. de Oliveira. 2015-02-05. A Matrix Laurent Series-based Fast Fourier Transform for Blocklengths N=4 (mod 8). https://arxiv.org/abs/1502.01566

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