NInverseFourierCoefficient


gives a numerical approximation to the function, evaluated at t, whose Fourier exponential series representation has coefficients given by expr, 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 Fourier exponential series representation used by is by default defined to be NSum[expr -2πnt,{n,-,}].
  • Different choices for the definition of the Fourier exponential series representation can be specified using the option FourierParameters.
  • With the setting FourierParameters->{a,b}, the Fourier exponential series representation used by is b NSum[expr -2 πbnt,{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)

In[1]:=
Click for copyable input

Numerical approximation for a function with a given Fourier series:

In[2]:=
Click for copyable input
Out[2]=

Compare with the answer from symbolic evaluation:

In[3]:=
Click for copyable input
Out[3]=
In[4]:=
Click for copyable input
Out[4]=
In[5]:=
Click for copyable input
Out[5]=