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Fourier transform

noun, Mathematics
a mapping of a function, as a signal, that is defined in one domain, as space or time, into another domain, as wavelength or frequency, where the function is represented in terms of sines and cosines.
1920-25; see Fourier analysis Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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British Dictionary definitions for Fourier transform

Fourier transform

an integral transform, used in many branches of science, of the form F(x) = [1/√(2π)]ʃeixyf(y)dy, where the limits of integration are from –∞ to +∞ and the function F is the transform of the function f
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Fourier transform in Technology

A technique for expressing a waveform as a weighted sum of sines and cosines.
Computers generally rely on the version known as discrete Fourier transform.
Named after J. B. Joseph Fourier (1768 -- 1830).
See also wavelet, discrete cosine transform.

The Free On-line Dictionary of Computing, © Denis Howe 2010
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