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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