# Trigonometry - Fourier Transform

The Fourier transform decomposes a function of time (e.g., a periodic signal) into the frequencies that make it up, similarly to how a musical chord can be expressed as the amplitude (or loudness) of its constituent notes.

With Fourier tranforms, you are able to create any waveform out of other combined waveforms.

## Documentation / Reference

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Algorithm - Fast Fourier Transformation (FFT) (time to frequency and vice versa)

A fast Fourier transform (FFT) is an algorithm to compute the discrete Fourier transformdiscrete Fourier transform (DFT) and its inverse. time (or space) - of period P to frequency (or wavenumber)...
Trigonometry - Fourier (Analysis|Synthesis)

Fourier analysis is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions. In the sciences and engineering,: the process of decomposing...
Trigonometry - Fourier Series (Fourier Transform for periodic functions)

The Fourier Series breaks down a periodic function into the sum of sinusoidal functions. A Fourier series is a way to represent a wave-like function (like a square wave) as the sum of simple sine waves....