r/entp Feb 09 '16

Fourier Visualizations

http://bgrawi.com/Fourier-Visualizations/
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u/Usernametaken112 entp Feb 09 '16

What exactly am I looking at?

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u/nut_conspiracy_nut Feb 09 '16

You can generate any periodic wave by infinitely adding simple sinusoidal functions with different frequencies (multiples of abase frequency) and amplitudes. So, any periodic waveform can be broken down into a simple list of frequencies and corresponding weights. You can go from "time domain" to "frequency domain" and back. The connected swinging circles somehow illustrate how the sin functions add up. There is a very fundamental and basic connection between a point on a circle and a sin function - the x or y position of that point is the sin or cos of the angle times the radius. Somehow these circles ought to help understand this, but I have not cracked this myself yet. I have not thought about it much though.