Fiila:Fourier transform time and frequency domains.gif

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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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23 guovvamánnu 2013

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dáláguovvamánnu 23 b. 2013 dii. 20.42Govaš guovvamánnu 23 b. 2013 dii. 20.42 vurkejuvvon veršuvnnas500 × 400 (399 KiB)LucasVBReverted to version as of 20:31, 23 February 2013
guovvamánnu 23 b. 2013 dii. 20.38Govaš guovvamánnu 23 b. 2013 dii. 20.38 vurkejuvvon veršuvnnas500 × 400 (684 KiB)LucasVBTrying to circumvent MediaWiki's crappy thumbnail generator again. Completely unoptimized the animation.
guovvamánnu 23 b. 2013 dii. 20.31Govaš guovvamánnu 23 b. 2013 dii. 20.31 vurkejuvvon veršuvnnas500 × 400 (399 KiB)LucasVBThe 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...
guovvamánnu 23 b. 2013 dii. 11.43Govaš guovvamánnu 23 b. 2013 dii. 11.43 vurkejuvvon veršuvnnas500 × 400 (346 KiB)LucasVB{{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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