Polar Fourier Transform

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The Fourier transform quantifies the frequency content of a signal. We do this by first converting the time history to polar coordinates. Next, the speed at which the signal is wrapped in polar coordinates is varied with the winding frequency, . The orange dot is at the center of mass of the wrapped time history:



while the green dot represents the Fourier transform (i.e. the modified center of mass):


For speed, the symbolic integral is computed in the Initialization Code.


Contributed by: Edmon Perkins (July 2020)
After work by: 3Blue1Brown, Grant Sanderson
Open content licensed under CC BY-NC-SA



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