The function is a periodic function, the period is
(1.1) | ||
The complex form of the Fourier series is
(1.2) |
The Fourier integral theorem is defined by the relation
(1.3) |
The Fourier transform and the inverse transform are
(1.4) | |
Example 1
The script file pwopro03 gives examples of Fourier series
expansions of periodic functions. The first example is a discontinuous
skew symmetric function, the second a continuous function with a discontinuous
derivative.
Download
Scilab: pwopro03.sci
Octave/Matlab: pwopro03.m
Example 2
The script file pwoprs03 calculates the Fourier series
coefficients for damped free vibrations looks at the influence of the
number of points. The values of coefficients change but the amplitudes
are similar.
Download
Scilab: pwoprs03.sci
Octave/Matlab: pwoprs03.m