This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.1)

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 .
  • 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 - k t, {t, -, }].
  • Different choices for the period of expr can be specified using the option FourierParameters.
  • With the setting FourierParameters, 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 - b k t, {t, -, }].
Numerical approximation for an exponential Fourier series:
Compare with a plot of the original periodic function:
Needs["FourierSeries`"]
Numerical approximation for an exponential Fourier series:
In[2]:=
Click for copyable input
Out[2]=
In[3]:=
Click for copyable input
Out[3]=
Compare with a plot of the original periodic function:
In[4]:=
Click for copyable input
Out[4]=