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Multimedia Programming Using Max/MSP and TouchDesigner by Patrik Lechner

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FFT

FFT stands for Fast Fourier Transform. It is the only one of several Fourier Transforms we will use here, but let's drop the "fast" for a moment and talk about the Fourier Transform first. We have talked a lot about spectra and frequencies, but have mainly stayed in the time domain. The Fourier Transform (or Fourier analysis) is a way to switch into the frequency domain. The Inverse Fourier Transform (or Fourier synthesis) is a way to go back again to the time domain. The Fourier Transform is converting a continuous signal, a function of time x(t) to a continuous signal, a function of frequency X(f).

How will this be done? Fourier (among others) proved that any continuous signal can be represented as a sum of sinusoids. Now, I could present ...

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