Fourier transform

Fourier transform
noun Date: 1923 any of various functions (as F(u)) that under suitable conditions can be obtained from given functions (as f(x)) by multiplying by eiux and integrating over all values of x and that in scientific instrumentation describe the dependence of the average of a series of measurements (as of a spectrum) on a quantity of interest (as brightness) especially of a very small magnitude — called also Fourier transformation

New Collegiate Dictionary. 2001.

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  • Fourier transform — noun a transform, applied to a function, used to determine the functions frequency composition (temporal, spatial or otherwise); it has many scientific and industrial applications, especially in signal processing …   Wiktionary

  • Fourier transform — noun Mathematics a function derived from a given non periodic function and representing it as a series of sinusoidal functions …   English new terms dictionary

  • Fourier transform spectroscopy — is a measurement technique whereby spectra are collected based on measurements of the temporal coherence of a radiative source, using time domain measurements of the electromagnetic radiation or other type of radiation.It can be applied to a… …   Wikipedia

  • Fourier transform on finite groups — In mathematics, the Fourier transform on finite groups is a generalization of the discrete Fourier transform from cyclic to arbitrary finite groups.DefinitionsThe Fourier transform of a function f : G ightarrow mathbb{C},at a representation ho,… …   Wikipedia

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