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Fast Fourier Transform

A Fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT).

It's let the complexity of computing of the Diecrete Fourier Transform (DFT) form O(n^{2}) to O(nlogn).

Relate knowledge of Fast Fourier Transform

Usage

  1. Compile

    $ make
  2. Run

    # DFT
    $ ./dft
    
    # FFT
    $ ./fft

DFT v.s FFT

  1. spends times

  2. example

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Implement Fast Fourier Transform with c and python

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