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https://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: | https://elar.usfeu.ru/handle/123456789/5725 |
Appears in Collections: | Эко-потенциал: журнал междисциплинарных научных публикаций |
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