Sampling theory in abstract reproducing kernel Hilbert space

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dc.contributor.authorHong Y.M.ko
dc.contributor.authorKim J.M.ko
dc.contributor.authorKwon, Kil Hyunko
dc.date.accessioned2011-07-26T05:21:44Z-
dc.date.available2011-07-26T05:21:44Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2007-01-
dc.identifier.citationSAMPLING THEORY IN SIGNAL AND IMAGE PROCESSING, v.6, no.1, pp.109 - 121-
dc.identifier.issn1530-6429-
dc.identifier.urihttp://hdl.handle.net/10203/24706-
dc.description.abstractLet H be a separable Hilbert space and k(t) an H-valued function on a subset Ω of the real line R such that {k(t) t ε Ω} is total in H. Then {fx:= (x, k(t))H x ε H} becomes a reproducing kernel Hilbert space (RKHS) in a natural way. Here, we develop a sampling formula for functions in this RKHS, which generalizes the well-known celebrated Whittaker-Shannon-Kotelnikov sampling formula in the Paley-Wiener space of band-limited signals. To be more precise, we develop a multi-channel sampling formula in which each channel is given a rather arbitrary sampling rate. We also discuss stability and oversampling. ? 2007 Sampling Publishing.-
dc.description.sponsorshipThis work is partially supported by BK-21 project and KOSEF(R01-2006- 000-10424-0). Authors are grateful to the referee for his many valuable comments.en
dc.languageEnglish-
dc.language.isoen_USen
dc.publisherSampling Publishing-
dc.titleSampling theory in abstract reproducing kernel Hilbert space-
dc.typeArticle-
dc.identifier.scopusid2-s2.0-33846273841-
dc.type.rimsART-
dc.citation.volume6-
dc.citation.issue1-
dc.citation.beginningpage109-
dc.citation.endingpage121-
dc.citation.publicationnameSAMPLING THEORY IN SIGNAL AND IMAGE PROCESSING-
dc.embargo.liftdate9999-12-31-
dc.embargo.terms9999-12-31-
dc.contributor.localauthorKwon, Kil Hyun-
dc.contributor.nonIdAuthorHong Y.M.-
dc.contributor.nonIdAuthorKim J.M.-
dc.subject.keywordAuthorOversampling-
dc.subject.keywordAuthorReproducing kernel Hilbert space-
dc.subject.keywordAuthorSampling-
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