Fast Fourier Transform
<algorithm> (FFT) An algorithm for computing the Fourier transform of a
set of discrete data values. Given a finite set of data points, for example a
periodic sampling taken from a real-world signal, the FFT expresses the data in
terms of its component frequencies. It also solves the essentially identical
inverse problem of reconstructing a signal from the frequency data.
The FFT is a mainstay of numerical analysis. Gilbert Strang described it as "the
most important algorithm of our generation". The FFT also provides the
asymptotically fastest known algorithm for multiplying two polynomials.
Versions of the algorithm (in C and Fortran) can be found on-line from the GAMS
["Numerical Methods and Analysis", Buchanan and Turner].
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