File:Fourier transform time and frequency domains (small).gif
No higher resolution available.
Fourier_transform_time_and_frequency_domains_(small).gif (300 × 240 pixels, file size: 265 KB, MIME type: image/gif, looped, 93 frames, 37 s)
|
This is a file from the Wikimedia Commons. The description on its description page there is shown below.
|
.gif){kind=small}
| 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 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. |
||
| Date | |||
| Source | Own work | ||
| Author | Lucas V. Barbosa | ||
| Permission (Reusing this file) |
|
||
| Other versions | (separate files were necessary due to the awfulness of MediaWiki's thumbnail generator) |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 13:44, 23 February 2013 | 300 × 240 (265 KB) | LucasVB | {{Information |Description={{en|1=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 con... |
File usage
The following 2 pages use this file:
.gif){kind=link}