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FOURIER SERIES PACKAGE SYMBOL

NDTFourierTransform

gives a numerical approximation to the discrete time Fourier transform of expr evaluated at the numerical value

, where expr is a function of n.

The numerical approximation to the discrete time Fourier transform of expr is by default defined to be NSum.

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

With the setting FourierParameters, the discrete time Fourier transform computed by is NSum[expr ^{- b n}, {n, -∞, ∞}].

In addition to the option FourierParameters, can also accept the options available to NSum. These options are passed directly to NSum.

Different definitions for numerical approximation of a discrete time Fourier transform:

Compare with the answer from symbolic evaluation with FourierSequenceTransform:

Needs["FourierSeries`"]

Different definitions for numerical approximation of a discrete time Fourier transform:

Out[2]=

Out[3]=

Compare with the answer from symbolic evaluation with FourierSequenceTransform:

Out[4]=

Out[5]=

Out[6]=

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