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File:Fourier transform time and frequency domains (small).gif

Fourier_transform_time_and_frequency_domains_(small).gif ‎（300 × 240 像素，檔案大細：265 KB ，MIME類型：image/gif、循環、93格、37 s）

描述
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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來源 自己作品
作者 Lucas V. Barbosa
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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
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成立日

23 2 2013

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現時2013年2月23號 (六) 20:44響2013年2月23號 (六) 20:44嘅縮圖版本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...

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