Convolution

  • 161Fonction δ de Dirac — Distribution de Dirac La distribution de Dirac, aussi appelée par abus de langage fonction δ de Dirac, introduite par Paul Dirac, peut être informellement considérée comme une fonction δ qui prend une « valeur » infinie en 0, et la… …

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  • 162Fonction δ de dirac — Distribution de Dirac La distribution de Dirac, aussi appelée par abus de langage fonction δ de Dirac, introduite par Paul Dirac, peut être informellement considérée comme une fonction δ qui prend une « valeur » infinie en 0, et la… …

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  • 163Impulsion de Dirac — Distribution de Dirac La distribution de Dirac, aussi appelée par abus de langage fonction δ de Dirac, introduite par Paul Dirac, peut être informellement considérée comme une fonction δ qui prend une « valeur » infinie en 0, et la… …

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  • 164Overlap–save method — Overlap–save is the traditional name for an efficient way to evaluate the discrete convolution between a very long signal x[n] and a finite impulse response (FIR) filter h[n] …

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  • 165Lissage d'images — Le lissage d images est une opération importante en traitement d images, utilisée pour atténuer un bruit qui corrompt l information, généralement avant un autre traitement. Cette opération consiste le plus souvent à appliquer à l image un filtre… …

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  • 166HARMONIQUE (ANALYSE) — Lorsqu’on fait vibrer, dans des conditions idéales, une corde de longueur l , fixée en ses extrémités d’abscisses 0 et l , l’équation aux dérivées partielles: est vérifiée, où u (x , t ) est une fonction dont la valeur représente, à l’instant t …

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  • 167NORMÉES (ALGÈBRES) — Au point de rencontre de deux types de structures, structures algébriques et structures topologiques, les algèbres normées jouent un rôle important dans de nombreux domaines de l’analyse mathématique. Développée à partir de 1940 environ,… …

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  • 168Cepstrum — Cepstral redirects here. For the software company based in Pennsylvania, see Cepstral (company). A cepstrum /ˈkɛps …

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  • 169Pontryagin duality — In mathematics, in particular in harmonic analysis and the theory of topological groups, Pontryagin duality explains the general properties of the Fourier transform. It places in a unified context a number of observations about functions on the… …

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  • 170Number-theoretic transform — The number theoretic transform (NTT) is similar to the discrete Fourier transform, but operates with modular arithmetic on integers instead of complex numbers.DefinitionThe discrete Fourier transform is given by:f j=sum {k=0}^{n 1}x kleft(e^{… …

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  • 171Path integral formulation — This article is about a formulation of quantum mechanics. For integrals along a path, also known as line or contour integrals, see line integral. The path integral formulation of quantum mechanics is a description of quantum theory which… …

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  • 172Newtonian potential — In mathematics, the Newtonian potential or Newton potential is an operator in vector calculus that acts as the inverse to the negative Laplacian, on functions that are smooth and decay rapidly enough at infinity. As such, it is a fundamental… …

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  • 173Cauchy product — In mathematics, the Cauchy product, named after Augustin Louis Cauchy, of two sequences , , is the discrete convolution of the two sequences, the sequence whose general term is given by In other words, it is the sequence whose associated formal… …

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  • 174Matched filter — In telecommunications, a matched filter (originally known as a North filter[1]) is obtained by correlating a known signal, or template, with an unknown signal to detect the presence of the template in the unknown signal. This is equivalent to… …

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  • 175Bicubic interpolation — In mathematics, bicubic interpolation is an extension of cubic interpolation for interpolating data points on a two dimensional regular grid. The interpolated surface is smoother than corresponding surfaces obtained by bilinear interpolation or… …

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  • 176Refinable function — In mathematics, in the area of wavelet analysis, a refinable function is a function which fulfills some kind of self similarity. A function varphi is called refinable with respect to the mask h if:varphi(x)=2cdotsum {k=0}^{N 1} h… …

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  • 177Coopmans Approximation — The Coopmans Approximation is a method for approximating a fractional order integrator in a continuous process with constant space complexity. The most correct and accurate methods for calculating the fractional integral require a record of all… …

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  • 178Natural exponential family — In probability and statistics, the natural exponential family (NEF) is a class of probability distributions that is a special case of an exponential family (EF). Many common distributions are members of a natural exponential family, and the use… …

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  • 179Monte Carlo method for photon transport — Modeling photon propagation with Monte Carlo methods is a flexible yet rigorous approach to simulate photon transport. In the method, local rules of photon transport are expressed as probability distributions which describe the step size of… …

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  • 180Discrete 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… …

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