Please use this identifier to cite or link to this item: http://elar.usfeu.ru/handle/123456789/5725
Title: Generalized classical and quantum signal theories on hypergroups. Part 1. Clasical signal theory
Authors: Labunets, V. G.
Chasovskikh, V. P.
Ostheimer, E.
Issue Date: 2016
Citation: Labunets, V. G. Generalized classical and quantum signal theories on hypergroups. Part 1. Clasical signal theory / V. G. Labunets, V. P. Chasovskikh, E. Ostheimer // Эко-потенциал. – 2016. – № 3 (15). – С. 56–64.
Abstract: In this paper we develop generalized nonharmonic analysis of signals and images on commu­tative hypergroups, associated with arbitrary unitary (orthogonal) transforms. We introduce general­ized convolutions, correlations, Wigner-Ville distributions, and ambiguity functions. All theorems and properties of ordinary classical Fourier harmonic analysis are transferred on nonharmonic analysis Fourier on arbitrary Abelian hypergroups.
Keywords: GENERALIZED CONVOLUTIONS AND CORRELATIONS
SIGNAL AND IMAGE PROCESSING
URI: http://elar.usfeu.ru/handle/123456789/5725
Appears in Collections:Эко-потенциал: журнал междисциплинарных научных публикаций

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