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Image: Fourier series and transform

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Fourier_series_and_transform.gif(300 × 240 pixels, file size: 272 KB, MIME type: image/gif, looped, 93 frames, 37 s)

Description: Function s(x) (in red) is an approximation of a square wave formed from just 6 sine functions of different amplitudes and harmonically-related frequencies. Their summation is called a Fourier series. The Fourier transform, S(f) (in blue), which depicts amplitude vs frequency, reveals the 6 frequencies and their amplitudes.
Title: Fourier series and transform
Credit: File:Fourier transform time and frequency domains (small).gif
Author: Lucas V. Barbosa
Usage Terms: Creative Commons Zero, Public Domain Dedication
License: CC0
License Link: http://creativecommons.org/publicdomain/zero/1.0/deed.en
Attribution Required?: No

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