# Fourier transform

## 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:
1920–25; see Fourier analysis

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 Fourier transform —n 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

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Computing Dictionary

### Fourier transform definition

mathematics
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).