NFourierSeries


gives a numerical approximation to the order n Fourier exponential series expansion of expr, where expr is a periodic function of t with period .

DetailsDetails

  • To use , you first need to load the Fourier Series Package using Needs["FourierSeries`"].
  • The numerical approximation to the order n Fourier exponential series expansion of expr is by default defined to be , where is given by NIntegrate[expr -kt,{t,-π,π}].
  • Different choices for the period of expr can be specified using the option FourierParameters.
  • With the setting FourierParameters->{a,b}, expr is assumed to have a period of , and the order n Fourier exponential series expansion computed by is , where is given by NIntegrate[expr -bkt,{t,-,}].
  • In addition to the option FourierParameters, can also accept the options available to NIntegrate. These options are passed directly to NIntegrate.

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

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Numerical approximation for an exponential Fourier series:

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Compare with a plot of the original periodic function:

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