Fraccionalización de la transformada discreta de Fourier

J. Rueda-Paz, C.A. Muñoz

Abstract


In this paper we show how to extend the definition of the Finite Fourier Transform (DFT) as we introduce a fractionalization (FrDFT) of them, the FrDFT transform is defined as a real power of the unitary matrix that defines the DFT, of such form that additivity between powers is guaranteed when applying two different FrDFTs, also we describe some of the bases in which it is possible to define the FrDFT, we graphically show how this fractionalization contracts to its continuous equivalent the Fractional Integral Fourier Transform (FrIFT).

Keywords


Finite Fourier transform; fractional Fourier transform; signal analisys

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Revista Mexicana de Física E

ISSN: 2683-2216 (on line), 1870-3542 (print)

Semiannual publication of Sociedad Mexicana de Física, A.C.
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