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Lexikon


Fast Fourier Transform


(FFT) An ref="module.php?name=Lexikon&file=search&eid=1&query=algorithm">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 ref="module.php?name=Lexikon&file=search&eid=1&query=numerical analysis">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 ref="module.php?name=Lexikon&file=search&eid=1&query=polynomial">polynomials. Versions of the algorithm (in ref="module.php?name=Lexikon&file=search&eid=1&query=C">C and ref="module.php?name=Lexikon&file=search&eid=1&query=Fortran">Fortran) can be found on-line from the ref="module.php?name=Lexikon&file=search&eid=1&query=GAMS">GAMS server {here (http://gams.nist.gov/cgi-bin/gams-serve/class/J1.html)}. ["Numerical Methods and Analysis", Buchanan and Turner]. (1994-11-09)

In addition suitable contents:
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