MULTI-CHANNEL SAMPLING ON SHIFT-INVARIANT SPACES WITH FRAME GENERATORS

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dc.contributor.authorGarcia, A. G.ko
dc.contributor.authorKim, J. M.ko
dc.contributor.authorKwon, Kil Hyunko
dc.contributor.authorYoon, G. J.ko
dc.date.accessioned2013-03-11T10:35:11Z-
dc.date.available2013-03-11T10:35:11Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2012-01-
dc.identifier.citationINTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, v.10, no.1-
dc.identifier.issn0219-6913-
dc.identifier.urihttp://hdl.handle.net/10203/99048-
dc.description.abstractLet phi be a continuous function in L-2(R) such that the sequence {phi(t - n)}(n is an element of Z) is a frame sequence in L-2(R) and assume that the shift-invariant space V (phi) generated by phi has a multi-banded spectrum sigma(V). The main aim in this paper is to derive a multi-channel sampling theory for the shift-invariant space V (phi). By using a type of Fourier duality between the spaces V (phi) and L-2[ 0, 2 pi] we find necessary and sufficient conditions allowing us to obtain stable multi-channel sampling expansions in V (phi).-
dc.languageEnglish-
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD-
dc.subjectWAVELET SUBSPACES-
dc.subjectRIESZ BASES-
dc.subjectEXPANSION-
dc.subjectTHEOREMS-
dc.subjectMULTIRESOLUTION-
dc.subjectSHANNON-
dc.titleMULTI-CHANNEL SAMPLING ON SHIFT-INVARIANT SPACES WITH FRAME GENERATORS-
dc.typeArticle-
dc.identifier.wosid000300776800003-
dc.identifier.scopusid2-s2.0-84863238352-
dc.type.rimsART-
dc.citation.volume10-
dc.citation.issue1-
dc.citation.publicationnameINTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING-
dc.identifier.doi10.1142/S0219691311004456-
dc.contributor.localauthorKwon, Kil Hyun-
dc.contributor.nonIdAuthorGarcia, A. G.-
dc.contributor.nonIdAuthorYoon, G. J.-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorShift-invariant spaces-
dc.subject.keywordAuthormulti-channel sampling-
dc.subject.keywordAuthorframes-
dc.subject.keywordPlusWAVELET SUBSPACES-
dc.subject.keywordPlusRIESZ BASES-
dc.subject.keywordPlusEXPANSION-
dc.subject.keywordPlusTHEOREMS-
dc.subject.keywordPlusMULTIRESOLUTION-
dc.subject.keywordPlusSHANNON-
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