Abstract

RUEDA-PAZ, J.  and  MUNOZ, C.A.. Fraccionalización de la transformada discreta de Fourier. Rev. mex. fís. E [online]. 2010, vol.56, n.1, pp.98-106. ISSN 1870-3542.

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.