NDTFourierTransform


gives a numerical approximation to the discrete time Fourier transform of expr evaluated at the numerical value ω, where expr is a function of n.

DetailsDetails

  • To use , you first need to load the Fourier Series Package using Needs["FourierSeries`"].
  • The numerical approximation to the discrete time Fourier transform of expr is by default defined to be NSum[expr -nω,{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 is NSum[expr -bnω,{n,-,}].
  • The parameter b in the setting FourierParameters->{a,b} must be numeric.
  • In addition to the option FourierParameters, can also accept the options available to NSum. These options are passed directly to NSum.

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

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

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Compare with the answer from symbolic evaluation with FourierSequenceTransform:

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