A periodic signal can be described by a Fourier
decomposition as a Fourier series, i. e. as a sum of
sinusoidal and cosinusoidal oscillations.
By reversing this procedure a periodic signal can be generated by superimposing
sinusoidal and cosinusoidal waves.
The general function is:
The Fourier series of a square wave is
The Fourier series of a saw-toothed wave is
The approximation improves as more oscillations are added.
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The source code (version 96/07/15) is available according to the GNU Public License.
Tom Huber, email@example.com
has written an
Condition of Dirichlet:
The Fourier series of a periodic function x(t) exists, if
- , i. e. x(t) is absolutely integratable,
- variations of x(t) are limited in every finite time interval T and
- there is only a finite set of discontinuities in T.
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