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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.
Origin of Fourier transform
1920-25; see Fourier analysis Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2017.
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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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