FourierSeries`
FourierSeries`
NFourierTransform
NFourierTransform[expr,t,ω]
gives a numerical approximation to the Fourier transform of expr evaluated at the numerical value ω, where expr is a function of t.
Details and Options
- To use NFourierTransform, you first need to load the Fourier Series Package using Needs["FourierSeries`"].
- The numerical approximation to the Fourier transform of expr is by default defined to be
NIntegrate[expr ωt,{t,-∞,∞}]. - Different choices for the definition of the Fourier transform can be specified using the option FourierParameters.
- With the setting FourierParameters->{a,b}, the Fourier transform computed by NFourierTransform is
NIntegrate[expr bωt,{t,-∞,∞}]. - The parameter b in the setting FourierParameters->{a,b} must be numeric.
- In addition to the option FourierParameters, NFourierTransform can also accept the options available to NIntegrate. These options are passed directly to NIntegrate.