19 - Fourier series

The Fourier Series is a way of representing periodic functions as an infinite sum of simpler sine & cosine waves. Fourier series simply states that periodic signals can be represented into sum of sines and cosines when multiplied with a certain weight. It further states that periodic signals can be broken down into further signals with the following properties:

• The signals are sines and cosines
• The signals are harmonics of each other

Theory

• Fourier series explained
• Fourier series grapher

Demonstration

• Generate sound from 6 different frequencies
• Fourier series of selected waveforms
• Fourier series of selected waveforms
• Fourier series of selected waveforms
• Fourier series in 3D

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