DTFourierTransform

As of Version 7.0, DTFourierTransform has been renamed to FourierSequenceTransform and is part of the built-in Mathematica kernel.

DTFourierTransform[expr, n,

]
gives the discrete time Fourier transform of expr as a function of

, where expr is a function of n.

To use DTFourierTransform, you first need to load the Fourier Series Package using Needs["FourierSeries`"].

The discrete time Fourier transform of expr is by default defined to be expr ^{2 n}.

Different choices for the definition of the discrete time Fourier transform can be specified using the option FourierParameters.

With the setting FourierParameters->{a, b}, the discrete time Fourier transform computed by DTFourierTransform is , a periodic function of with a default period of .

Needs["FourierSeries`"]

Use different definitions for calculating a discrete time Fourier transform: