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But what is the Fourier Transform? A visual introduction.

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Further reading 1

What becomes visible when you change representation? →An average, a spectrum and a geometric diagram each foreground a different structure. Before asking which view is intuitive, ask which comparison you need it to support.This video helps answer · Which frequencies are present, and how was the signal recorded?

Caption notes

Wind a signal around a circle and track its center of mass. Peaks reveal component frequencies; complex numbers retain both coordinates of the result.

Original passages · 5
first added up the signals and then applied this almost Fourier transform.
But what is the Fourier Transform? A visual introduction. · ▶ 9:36–9:54
just don't divide out by the time interval. The Fourier transform is just
But what is the Fourier Transform? A visual introduction. · ▶ 15:56–16:05
The output of this function is a complex number,
But what is the Fourier Transform? A visual introduction. · ▶ 17:35–17:45
the transform of a pure frequency is close to zero
But what is the Fourier Transform? A visual introduction. · ▶ 10:11–10:16
It pulls out the original frequencies from their jumbled up sums
But what is the Fourier Transform? A visual introduction. · ▶ 10:29–10:33

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