The continuous Fourier Transform of rect and sinc functions (animation)

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Published on ● Video Link: https://www.youtube.com/watch?v=r4c9ojz6hJg



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The continuous Fourier transform takes an input function f(x) in the time domain and turns it into a new function, ƒ̂(x) in the frequency domain.

In the first animation, the Fourier transform (as usually defined in signal processing) is applied to the rectangular function, returning the normalized sinc function.

More information: http://1ucasvb.tumblr.com/post/44489240563/the-continuous-fourier-transform-takes-an-input




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Tags:
cosine
sine
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illustration
sinc
frequency domain
fourier series
fourier analysis
rect
fourier transform
animation
time domain
signal processing
wikipedia
fourier
intuition
mathematics
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