Gabor windows supported on [ -aEuro parts per thousand 1, 1] and dual windows with small support

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dc.contributor.authorChristensen, Oleko
dc.contributor.authorKim, Hong Ohko
dc.contributor.authorKim, Rae Youngko
dc.date.accessioned2013-03-12T17:37:31Z-
dc.date.available2013-03-12T17:37:31Z-
dc.date.created2012-08-02-
dc.date.created2012-08-02-
dc.date.issued2012-05-
dc.identifier.citationADVANCES IN COMPUTATIONAL MATHEMATICS, v.36, no.4, pp.525 - 545-
dc.identifier.issn1019-7168-
dc.identifier.urihttp://hdl.handle.net/10203/103034-
dc.description.abstractConsider a continuous function g aaEuro parts per thousand L (2)(a"e) that is supported on [ -aEuro parts per thousand 1, 1] and generates a Gabor frame with translation parameter 1 and modulation parameter 0 < b < 2N/2N+1 for some N epsilon N center dot. Under an extra condition on the zeroset of the window g we show that there exists a continuous dual window supported on [ -N, N]. We also show that this result is optimal: indeed, if b > 2N/2N+1 then a dual window supported on [ -N, N] does not exist. In the limit case b = 2N/2N+1 a dual window supported on [-N, N] might exist, but cannot be continuous.-
dc.languageEnglish-
dc.publisherSPRINGER-
dc.subjectFRAMES-
dc.subjectBASES-
dc.titleGabor windows supported on [ -aEuro parts per thousand 1, 1] and dual windows with small support-
dc.typeArticle-
dc.identifier.wosid000303374900002-
dc.identifier.scopusid2-s2.0-84860207127-
dc.type.rimsART-
dc.citation.volume36-
dc.citation.issue4-
dc.citation.beginningpage525-
dc.citation.endingpage545-
dc.citation.publicationnameADVANCES IN COMPUTATIONAL MATHEMATICS-
dc.identifier.doi10.1007/s10444-011-9189-0-
dc.contributor.localauthorKim, Hong Oh-
dc.contributor.nonIdAuthorChristensen, Ole-
dc.contributor.nonIdAuthorKim, Rae Young-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorGabor frame-
dc.subject.keywordAuthorCompactly supported window-
dc.subject.keywordAuthorCompactly supported dual window-
dc.subject.keywordPlusFRAMES-
dc.subject.keywordPlusBASES-
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