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Fast Fourier Transform

 
 
Fast Fourier Transform (FFT) An for computing the 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 . Gilbert Strang described it as "the most important algorithm of our generation". The FFT also provides the asymptotically fastest known algorithm for multiplying two s. Versions of the algorithm (in and ) can be found on-line from the server {here (http://gams.nist.gov/cgi-bin/gams-serve/class/J1.html)}. ["Numerical Methods and Analysis", Buchanan and Turner]. (1994-11-09)
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