complex FFT fast Fourier transform

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• Fast Fourier transform — A fast Fourier transform (FFT) is an efficient algorithm to compute the discrete Fourier transform (DFT) and its inverse. There are many distinct FFT algorithms involving a wide range of mathematics, from simple complex number arithmetic to group …   Wikipedia

• Fast Fourier Transform — Transformée de Fourier rapide La transformée de Fourier rapide (sigle anglais : FFT ou Fast Fourier Transform) est un algorithme de calcul de la transformée de Fourier discrète (TFD). Sa complexité varie en avec le nombre de points n, alors… …   Wikipédia en Français

• Fast-Fourier-Transformation — Die schnelle Fourier Transformation (englisch fast Fourier transform, daher meist FFT abgekürzt) ist ein Algorithmus zur effizienten Berechnung der Werte einer diskreten Fourier Transformation (DFT). Bei dem Algorithmus handelt es sich um ein… …   Deutsch Wikipedia

• Fast Fourier-Transformation — Die schnelle Fourier Transformation (englisch fast Fourier transform, daher meist FFT abgekürzt) ist ein Algorithmus zur effizienten Berechnung der Werte einer diskreten Fourier Transformation (DFT). Bei dem Algorithmus handelt es sich um ein… …   Deutsch Wikipedia

• 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

• Discrete-time Fourier transform — In mathematics, the discrete time Fourier transform (DTFT) is one of the specific forms of Fourier analysis. As such, it transforms one function into another, which is called the frequency domain representation, or simply the DTFT , of the… …   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

• Cooley–Tukey FFT algorithm — The Cooley–Tukey algorithm, named after J.W. Cooley and John Tukey, is the most common fast Fourier transform (FFT) algorithm. It re expresses the discrete Fourier transform (DFT) of an arbitrary composite size N = N1N2 in terms of smaller DFTs… …   Wikipedia

• Discrete Hartley transform — A discrete Hartley transform (DHT) is a Fourier related transform of discrete, periodic data similar to the discrete Fourier transform (DFT), with analogous applications in signal processing and related fields. Its main distinction from the DFT… …   Wikipedia