Dekonvoluce absolutně sčítatelných signálů s nosičem tvaru sektorové pologrupy v Z^N''

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F04%3A03102637" target="_blank" >RIV/68407700:21230/04:03102637 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Deconvolution of absolutely summable signals supported by sector semigroups in Z^n''

Popis výsledku v původním jazyce

This paper deals with an indirect computation of convolution and, primarily, deconvolution (if it exists) in the convolution Banach algebras of all absolutely summable sequences supported by a so-called sector semigroup (or sector) in Z^N via a DFT-compatible approximation method, realized (except for certain homomorphisms) in the periodic convolution Banach algebras of all N-D ''parallelogram-periodic sequences''. The method is associated with a sequence of so-called circular convolution operators, and, therefore, called the circular convolution operator method (CCOM). The CCOM is applied within a generally accepted approximation framework, adopted from Hagen et al. "Spectral Theory of Approximation Methods for Convolution Equations," 1995. Above all,constructive necessary and sufficient conditions for "applicability" of the CCOM to computing deconvolution in the the former algebras for N=1, 2 are obtained

Název v anglickém jazyce

Deconvolution of absolutely summable signals supported by sector semigroups in Z^n''

Popis výsledku anglicky

This paper deals with an indirect computation of convolution and, primarily, deconvolution (if it exists) in the convolution Banach algebras of all absolutely summable sequences supported by a so-called sector semigroup (or sector) in Z^N via a DFT-compatible approximation method, realized (except for certain homomorphisms) in the periodic convolution Banach algebras of all N-D ''parallelogram-periodic sequences''. The method is associated with a sequence of so-called circular convolution operators, and, therefore, called the circular convolution operator method (CCOM). The CCOM is applied within a generally accepted approximation framework, adopted from Hagen et al. "Spectral Theory of Approximation Methods for Convolution Equations," 1995. Above all,constructive necessary and sufficient conditions for "applicability" of the CCOM to computing deconvolution in the the former algebras for N=1, 2 are obtained

Druh

A - Audiovizuální tvorba

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2004

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

ISBN

90-5682-517-8

Místo vydání

Leuven

Název nakladatele resp. objednatele

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Verze

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Identifikační číslo nosiče

neuvedeno