This java applet demonstrates Fourier series, which is a method of expressing an arbitrary periodic function as a sum of sine and cosine terms. In other words, Fourier series can be used to express a function in terms of the frequencies (harmonics) it is composed of.

This example is a sawtooth function.
The white line is the sawtooth, and the red line is the Fourier
approximation of it. Adjusting the **Number of Terms** slider will
determine how many terms are used in the Fourier expansion. Move the
mouse over the white circles to see each term's contribution, in
yellow. Low-frequency terms are on the left; high-frequency terms are
on the right. You can also modify the function with the mouse.

This applet has sound if you are using java 2. Click the **Sound** checkbox to hear the
sawtooth wave. If you don't see a **Sound**
checkbox, then you should get the
Java plug-in.

Next: Square Wave

Index

Generated Tue Sep 9 2008