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College of Natural Sciences(자연과학대학)Dept. of Mathematical Sciences(수리과학과)MA-Journal Papers(저널논문)

On Parseval Wavelet Frames with Two or Three Generators via the Unitary Extension Principle

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dc.contributor.authorChristensen, Oleko
dc.contributor.authorKim, Hong Ohko
dc.contributor.authorKim, Rae Youngko
dc.date.accessioned2014-09-01T07:30:09Z-
dc.date.available2014-09-01T07:30:09Z-
dc.date.created2014-06-30-
dc.date.created2014-06-30-
dc.date.issued2014-06-
dc.identifier.citationCANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, v.57, no.2, pp.254 - 263-
dc.identifier.issn0008-4395-
dc.identifier.urihttp://hdl.handle.net/10203/189278-
dc.description.abstractThe unitary extension principle (UEP) by A. Ron and Z. Shen yields a sufficient condition for the construction of Parseval wavelet frames with multiple generators. In this paper we characterize the UEP-type wavelet systems that can be extended to a Parseval wavelet frame by adding just one UEP-type wavelet system. We derive a condition that is necessary for the extension of a UEP-type wavelet system to any Parseval wavelet frame with any number of generators and prove that this condition is also sufficient to ensure that an extension with just two generators is possible.-
dc.languageEnglish-
dc.publisherCANADIAN MATHEMATICAL SOC-
dc.subjectHIGH VANISHING MOMENTS-
dc.subjectAFFINE SYSTEMS-
dc.subjectTIGHT FRAMES-
dc.subjectL-2(R-D)-
dc.subjectMASKS-
dc.titleOn Parseval Wavelet Frames with Two or Three Generators via the Unitary Extension Principle-
dc.typeArticle-
dc.identifier.wosid000336640900005-
dc.identifier.scopusid2-s2.0-84899064701-
dc.type.rimsART-
dc.citation.volume57-
dc.citation.issue2-
dc.citation.beginningpage254-
dc.citation.endingpage263-
dc.citation.publicationnameCANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES-
dc.identifier.doi10.4153/CMB-2013-015-9-
dc.embargo.liftdate9999-12-31-
dc.embargo.terms9999-12-31-
dc.contributor.localauthorKim, Hong Oh-
dc.contributor.nonIdAuthorChristensen, Ole-
dc.contributor.nonIdAuthorKim, Rae Young-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorBessel sequences-
dc.subject.keywordAuthorframes-
dc.subject.keywordAuthorextension of wavelet Bessel system to tight frame-
dc.subject.keywordAuthorwavelet systems-
dc.subject.keywordAuthorunitary extension principle-
dc.subject.keywordPlusHIGH VANISHING MOMENTS-
dc.subject.keywordPlusAFFINE SYSTEMS-
dc.subject.keywordPlusTIGHT FRAMES-
dc.subject.keywordPlusL-2(R-D)-
dc.subject.keywordPlusMASKS-
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