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Opt Lett. 1996 Sep 15;21(18):1430-2.

Fractional discrete Fourier transforms.

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.

PMID:
19881681
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