Fractional discrete Fourier transforms

descriptionPublicationkeyboard_double_arrow_right Article 15 Sep 1996 English Publisher:Optica Publishing GroupJournal:Optics Letters, volume 21, page 1,430 (issn: 0146-9592, eissn: 1539-4794,

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Authors: Z T, Deng; H J, Caulfield; M, Schamschula;

doi: 10.1364/ol.21.001430

pmid: 19881681

Fractional discrete Fourier transforms

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Abstract

Direct calculation of fractional Fourier transforms from the expressions derived for their optical implementation is laborious. An extension of the discrete Fourier transform would have only O(N(2)) computational complexity. We define such a system, offer a general way to compute the fractional discrete Fourier transform matrix, and numerically validate the algorithm.

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