Convolution

  • 81Distribution (mathematics) — This article is about generalized functions in mathematical analysis. For the probability meaning, see Probability distribution. For other uses, see Distribution (disambiguation). In mathematical analysis, distributions (or generalized functions) …

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  • 82Overlap–add method — The overlap–add method (OA, OLA) is an efficient way to evaluate the discrete convolution of a very long signal x[n] with a finite impulse response (FIR) filter h[n]: where h[m]=0 for m outside the region [1, M]. The concept is to divide the… …

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  • 83Discrete 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… …

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  • 84Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …

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  • 85Bluestein's FFT algorithm — (1968), commonly called the chirp z transform algorithm (1969), is a fast Fourier transform (FFT) algorithm that computes the discrete Fourier transform (DFT) of arbitrary sizes (including prime sizes) by re expressing the DFT as a convolution.… …

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  • 86Fonction De Möbius — Pour les articles homonymes, voir Moebius. August Ferdinand Möbius est le premier à étudier systématiquement la fonction qui por …

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  • 87Fonction de Mobius — Fonction de Möbius Pour les articles homonymes, voir Moebius. August Ferdinand Möbius est le premier à étudier systématiquement la fonction qui por …

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  • 88Fonction de Möbius — Pour les articles homonymes, voir Moebius. August Ferdinand Möbius est le premier à étudier systématiquement la fonction qui porte maintenant son nom en 1832. En …

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  • 89Fonction de möbius — Pour les articles homonymes, voir Moebius. August Ferdinand Möbius est le premier à étudier systématiquement la fonction qui por …

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  • 90LTI system theory — or linear time invariant system theory is a theory in the field of electrical engineering, specifically in circuits, signal processing, and control theory, that investigates the response of a linear, time invariant system to an arbitrary input… …

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  • 91Overlap-add method — The overlap add method (OA, OLA) is an efficient way to evaluate the discrete convolution between a very long signal x [n] with a finite impulse response (FIR) filter h [n] ::egin{align}y [n] = x [n] * h [n] stackrel{mathrm{def{=} sum {m=… …

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  • 92SYMBOLIQUE (CALCUL) — Le calcul symbolique est né au XIXe siècle d’une succession de démarches heuristiques et il a été particulièrement développé par Heaviside pour l’étude des circuits électriques. Si l’on désigne par p la dérivation, p 2 désignera naturellement la… …

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  • 93Fourier 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… …

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  • 94Rader's FFT algorithm — Rader s algorithm (1968) is a fast Fourier transform (FFT) algorithm that computes the discrete Fourier transform (DFT) of prime sizes by re expressing the DFT as a cyclic convolution. (The other algorithm for FFTs of prime sizes, Bluestein s… …

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  • 95Schönhage-Strassen algorithm — The Schönhage Strassen algorithm is an asymptotically fast multiplication algorithm for large integers. It was developed by Arnold Schönhage and Volker Strassen in 1971. [A. Schönhage and V. Strassen, Schnelle Multiplikation großer Zahlen ,… …

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  • 96Numerical smoothing and differentiation — An experimental datum value can be conceptually described as the sum of a signal and some noise, but in practice the two contributions cannot be separated. The purpose of smoothing is to increase the Signal to noise ratio without greatly… …

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  • 97Hilbert transform — In mathematics and in signal processing, the Hilbert transform is a linear operator which takes a function, u ( t ), and produces a function, H ( u )( t ), with the same domain. The Hilbert transform is named after David Hilbert, who first… …

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  • 98Transformée de Fourier — Joseph Fourier En analyse, la transformation de Fourier est un analogue de la théorie des séries de Fourier pour les fonctions non périodiques, et permet de leur associer un spectre en fréquences. On cherche ensuite à obtenir l expression de la… …

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  • 99Convolute — may also refer to: Convolution (mathematics and music) Circular convolution Convolution reverb Convolution sampling Convolution theorem Titchmarsh convolution theorem Dirichlet convolution Infimal convolute Logarithmic convolution Vandermonde… …

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  • 100Arithmetic function — In number theory, an arithmetic (or arithmetical) function is a real or complex valued function ƒ(n) defined on the set of natural numbers (i.e. positive integers) that expresses some arithmetical property of n. [1] An example of an arithmetic… …

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