Vector sampling expansion in Riesz bases setting and its aliasing error

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dc.contributor.authorKim, Jong Minko
dc.contributor.authorKwon, Kil Hyunko
dc.date.accessioned2010-11-16T05:38:42Z-
dc.date.available2010-11-16T05:38:42Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2008-11-
dc.identifier.citationAPPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, v.25, pp.315 - 334-
dc.identifier.issn1063-5203-
dc.identifier.urihttp://hdl.handle.net/10203/20018-
dc.description.abstractWe consider the multi-input multi-output (MIMO) system of vector valued band-limited signals, which are transferred through an M x N LTI (linear time invariant) system of channels. D. Seidner and M. Feder considered this vector sampling expansion (VSE) with the formal delta-method, which is a natural generalization of Papoulis' generalized sampling expansion (GSE) for single input multi-output systems. Later R. Venkataramani and Y. Bresler considered a more general MIMO sampling for multiband signals in the frame setting. In this work, we consider the VSE problem by using the Riesz basis method, which enables us to clarify obscurities in some of the previous works related to GSE and VSE problem. We obtain necessary and sufficient conditions for a VSE formula to hold as a Riesz basis expansion in the MIMO system. We also obtain an upper bound of the aliasing error which occurs when we apply the VSE formula to non-band-limited vector signals. (c) 2007 Elsevier Inc. All rights reserved.-
dc.description.sponsorshipThis work is partially supported by KOSEF (R01-2006-000-10424-0). The authors are grateful to the anonymous reviewers for their many invaluable comments, which improve the paper.en
dc.languageEnglish-
dc.language.isoen_USen
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.subjectBAND-LIMITED SIGNALS-
dc.subjectNONUNIFORM-
dc.subjectTHEOREMS-
dc.subjectRECONSTRUCTION-
dc.titleVector sampling expansion in Riesz bases setting and its aliasing error-
dc.typeArticle-
dc.identifier.wosid000260593900003-
dc.identifier.scopusid2-s2.0-53049084092-
dc.type.rimsART-
dc.citation.volume25-
dc.citation.beginningpage315-
dc.citation.endingpage334-
dc.citation.publicationnameAPPLIED AND COMPUTATIONAL HARMONIC ANALYSIS-
dc.identifier.doi10.1016/j.acha.2007.11.005-
dc.embargo.liftdate9999-12-31-
dc.embargo.terms9999-12-31-
dc.contributor.localauthorKwon, Kil Hyun-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorVector sampling expansion-
dc.subject.keywordAuthorMulti-input multi-output system-
dc.subject.keywordAuthorRiesz basis method-
dc.subject.keywordAuthorAliasing error-
dc.subject.keywordPlusBAND-LIMITED SIGNALS-
dc.subject.keywordPlusNONUNIFORM-
dc.subject.keywordPlusTHEOREMS-
dc.subject.keywordPlusRECONSTRUCTION-
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