File:Fourier transform time and frequency domains.gif
Fourier_transform_time_and_frequency_domains.gif (500 × 400 pixels, file size: 399 KB, MIME type: image/gif, looped, 93 frames, 37 s)
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DescriptionFourier transform time and frequency domains.gif |
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 f-hat (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 6-component 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. |
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Date | ||||
Source | Own work | |||
Author | Lucas Vieira | |||
Permission (Reusing this file) |
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Other versions | (separate files were necessary due to the awfulness of MediaWiki's thumbnail generator) |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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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=2013-02-23 |Author= Lucas V. Barbosa |Permission={{PD-... |
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