Fourier Series

What you learn

Simulation Ages 12–16

Play this math game and see what happens.

Fourier series

The Fourier series is an infinite series that expresses a periodic function that repeats a certain part as the sum of simple trigonometric functions. A simple trigonometric function consists of a smooth surface wave. If you keep adding these trigonometric functions, you can get…

As shown in the picture above, you can get a shape close to the square wave by adding 3 normal trigonometric functions. Listed in the form, it is as follows.

Application of Fourier series

The Fourier series is mainly used to obtain a specific waveform in an electronic circuit. For example, the Fourier series for square waves and sawtooth waves are: