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NFourierCoefficient


gives a numerical approximation to the n^(th) coefficient in the Fourier exponential series expansion of expr, where expr is a periodic function of t with period .
  • The numerical approximation to the n^(th) coefficient in the Fourier exponential series expansion of expr is by default defined to be NIntegrate[expr - n t, {t, -, }], where n must be an integer.
  • Different choices for the definition of the Fourier exponential series expansion can be specified using the option FourierParameters.
  • With the setting FourierParameters, expr is assumed to have a period of , and the n^(th) coefficient computed by is NIntegrate[expr - b n t, {t, -, }].
Use different definitions for calculating numerical approximation for a Fourier coefficient:
Compare with the answer from symbolic evaluation:
Needs["FourierSeries`"]
Use different definitions for calculating numerical approximation for a Fourier coefficient:
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Compare with the answer from symbolic evaluation:
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