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arxiv: 1502.01566 · v1 · pith:V3ATPB6Nnew · submitted 2015-02-05 · 💻 cs.DS · cs.DM· eess.SP

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

classification 💻 cs.DS cs.DMeess.SP
keywords presentedblocklengthsfastlaurentachievingblocklengthcasescomplexity
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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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