Square Wave Harmonics Calculator

A square wave can be represented as a sum of sine waves [1]. The equation for this is shown below.

Fourier Series representation of a Square Wave

Note that only odd integer harmonics are used to compute a square wave.

Use this tool to calculate harmonics of a square wave. Enter

  • Fundamental frequency
  • Amplitude

and the tool will compute frequency values up to the 11th harmonic as well as the amplitude coefficient.



A good approximation results when the first three terms are used, although in many situations, even the first two terms produce an adequate representation as shown in the picture below.

Image Credit: Wikipedia

This can be seen in the calculator above where the amplitude of each additional term is lower. As a result it has a smaller effect on the total sum.

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[1] Square Wave on Wikipedia