La transformada de Fourier fraccional y algunas aplicaciones

Abstract

First, fractional calculation is introduced with the aim of presenting the derived and integral operators and talking about their fractional powers. Second, the kernel deduction of the fractional Fourier transform (FRFT) is made using the known time-frequency representations and facts of the classical Fourier transform, then alternative definitions, some equivalents, are given. Third, some of these definitions are implemented by applying them to one-dimensional signals using a mathematical sotware, Matlab. Fourth, the Fractional Fourier transform is implemented in some fields of application.