DC Field | Value | Language |
---|---|---|
dc.contributor.author | Hong Y.M. | ko |
dc.contributor.author | Kim J.M. | ko |
dc.contributor.author | Kwon, Kil Hyun | ko |
dc.date.accessioned | 2011-07-26T05:21:44Z | - |
dc.date.available | 2011-07-26T05:21:44Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2007-01 | - |
dc.identifier.citation | SAMPLING THEORY IN SIGNAL AND IMAGE PROCESSING, v.6, no.1, pp.109 - 121 | - |
dc.identifier.issn | 1530-6429 | - |
dc.identifier.uri | http://hdl.handle.net/10203/24706 | - |
dc.description.abstract | Let 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.sponsorship | This 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.language | English | - |
dc.language.iso | en_US | en |
dc.publisher | Sampling Publishing | - |
dc.title | Sampling theory in abstract reproducing kernel Hilbert space | - |
dc.type | Article | - |
dc.identifier.scopusid | 2-s2.0-33846273841 | - |
dc.type.rims | ART | - |
dc.citation.volume | 6 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 109 | - |
dc.citation.endingpage | 121 | - |
dc.citation.publicationname | SAMPLING THEORY IN SIGNAL AND IMAGE PROCESSING | - |
dc.embargo.liftdate | 9999-12-31 | - |
dc.embargo.terms | 9999-12-31 | - |
dc.contributor.localauthor | Kwon, Kil Hyun | - |
dc.contributor.nonIdAuthor | Hong Y.M. | - |
dc.contributor.nonIdAuthor | Kim J.M. | - |
dc.subject.keywordAuthor | Oversampling | - |
dc.subject.keywordAuthor | Reproducing kernel Hilbert space | - |
dc.subject.keywordAuthor | Sampling | - |
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