Problems solving in electrical engineering (Theoretical Foundations of Electrical Engineering), circuit analysis (Foundations of Circuit Analysis) and electronics
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Theoretical foundations of electrical engineering

Problems solving in electrical engineering – Fourier transformation for basic non-sinusoidal signals

Expansion functions of some standard signals, occurring at problems solving in electrical engineering are in the table below.
Fourier transformation for basic non-sinusoidal signals
Fourier transformation for basic non-sinusoidal signals

The example below shows the effect of the number of harmonics on a form of the converted signal. The original signal has rectangular shape – on the picture above it is number 1. To select the number of harmonics – move the slider below the diagram: it is clear that at small number of harmonics the output function of the Fourier transform has little similarity with the input function, but with the increase of the expansion terms the input and output signals become almost indistinguishable.

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