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Discrete Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms In mathematics, the discrete Fourier transform (DFT) is a specific kind of discrete transform, used in… … Wikipedia
Discrete Fourier transform (general) — See also: Fourier transform on finite groups This article is about the discrete Fourier transform (DFT) over any field (including finite fields), commonly called a number theoretic transform (NTT) in the case of finite fields. For specific… … Wikipedia
Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… … Wikipedia
Fractional Fourier transform — In mathematics, in the area of harmonic analysis, the fractional Fourier transform (FRFT) is a linear transformation generalizing the Fourier transform. It can be thought of as the Fourier transform to the n th power where n need not be an… … Wikipedia
Fourier — (pronEng|ˈfʊərieɪ, French pronunciation IPA2|fuʁie) may refer to:*Charles Fourier (1772–1837), a French utopian socialist thinker *Joseph Fourier (1768–1830), a French mathematician and physicist **Mathematics, physics, and engineering terms… … Wikipedia
Fourier analysis — In mathematics, Fourier analysis is a subject area which grew out of the study of Fourier series. The subject began with trying to understand when it was possible to represent general functions by sums of simpler trigonometric functions. The… … Wikipedia
Fourier algebra — Fourier and related algebras occur naturally in the harmonic analysis of locally compact groups. They play an important role in the duality theories of these groups. The Fourier–Stieltjes algebra and the Fourier algebra of a locally compact group … Wikipedia
Fourier inversion theorem — In mathematics, Fourier inversion recovers a function from its Fourier transform. Several different Fourier inversion theorems exist. Sometimes the following identity is used as the definition of the Fourier transform::(mathcal{F}f)(t)=int {… … Wikipedia
List of Fourier analysis topics — This is an alphabetical list of Fourier analysis topics. See also the list of Fourier related transforms, and the list of harmonic analysis topics. Almost periodic function ATS theorem Autocorrelation Autocovariance Banach algebra Bessel function … Wikipedia
Hadamard transform — The Hadamard transform (also known as the Walsh Hadamard transform, Hadamard Rademacher Walsh transform, Walsh transform, or Walsh Fourier transform) is an example of a generalized class of Fourier transforms. It is named for the French… … Wikipedia
Integral transform — In mathematics, an integral transform is any transform T of the following form:: (Tf)(u) = int {t 1}^{t 2} K(t, u), f(t), dt.The input of this transform is a function f , and the output is another function Tf . An integral transform is a… … Wikipedia
