File:Fourier transform time and frequency domains.gif
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Fourier_transform_time_and_frequency_domains.gif (500 × 400 pixels, file size: 399 KB, MIME type: image/gif, looped, 93 frames, 37 s)
Description 
English: A visualization of the relationship between the time domain and the frequency domain of a function, based on its Fourier transform.
The Fourier transform takes an input function f (in red) in the "time domain" and converts it into a new function fhat (in blue) in the "frequency domain". In other words, the original function can be thought of as being "amplitude given time", and the Fourier transform of the function is "amplitude given frequency". Shown here, a simple 6component approximation of the square wave is decomposed (exactly, for simplicity) into 6 sine waves. These component frequencies show as very sharp peaks in the frequency domain of the function, shown as the blue graph. 

Date  
Source  Own work  
Author  Lucas V. Barbosa  
Permission (Reusing this file) 


Other versions 
Small version (to include in articles) (separate files were necessary due to the awfulness of MediaWiki's thumbnail generator) 
File history
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Date/Time  Thumbnail  Dimensions  User  Comment  

current  20:42, 23 February 2013  500 × 400 (399 KB)  LucasVB (talk  contribs)  Reverted to version as of 20:31, 23 February 2013  
20:38, 23 February 2013  500 × 400 (684 KB)  LucasVB (talk  contribs)  Trying to circumvent MediaWiki's crappy thumbnail generator again. Completely unoptimized the animation.  
20:31, 23 February 2013  500 × 400 (399 KB)  LucasVB (talk  contribs)  The new GIF scaling algorithm used on MediaWiki is awful, and adds a bunch of horrible artifacts to the animated thumbs. This is an attempt at avoiding the artifacts using an alternate palette. If this doesn't work, I'll have to submit the smaller vers...  
11:43, 23 February 2013  500 × 400 (346 KB)  LucasVB (talk  contribs)  {{Information Description=A visualization of the relationship between the time domain and the frequency domain of a function, based on its Fourier transform. Source={{own}} Date=20130223 Author= Lucas V. Barbosa Permission={{PD... 
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