Full metadata record
DC Field | Value | Language |
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dc.contributor.author | 장수미 | - |
dc.date.accessioned | 2016-08-28T10:08:20Z | - |
dc.date.available | 2016-08-28T10:08:20Z | - |
dc.date.issued | 2013 | - |
dc.identifier.issn | 1019-7168 | - |
dc.identifier.other | OAK-9680 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/223366 | - |
dc.description.abstract | We consider multiwindow Gabor systems (GN; a, b) with N compactly supported windows and rational sampling density N/ab. We give another set of necessary and sufficient conditions for two multiwindow Gabor systems to form a pair of dual frames in addition to the Zibulski-Zeevi and Janssen conditions. Our conditions come from the back transform of Zibulski-Zeevi condition to the time domain but are more informative to construct window functions. For example, the masks satisfying unitary extension principle (UEP) condition generate a tight Gabor system when restricted on [0, 2] with a = 1 and b = 1. As another application, we show that a multiwindow Gabor system (GN; 1, 1) forms an orthonormal basis if and only if it has only one window (N = 1) which is a sum of characteristic functions whose supports 'essentially' form a Lebesgue measurable partition of the unit interval. Our criteria also provide a rich family of multiwindow dual Gabor frames and multiwindow tight Gabor frames for the particular choices of lattice parameters, number and support of the windows. (Section 4) © 2011 Springer Science+Business Media, LLC. | - |
dc.language | English | - |
dc.title | Compactly supported multiwindow dual Gabor frames of rational sampling density | - |
dc.type | Article | - |
dc.relation.issue | 1 | - |
dc.relation.volume | 38 | - |
dc.relation.index | SCIE | - |
dc.relation.index | SCOPUS | - |
dc.relation.startpage | 159 | - |
dc.relation.lastpage | 186 | - |
dc.relation.journaltitle | Advances in Computational Mathematics | - |
dc.identifier.doi | 10.1007/s10444-011-9234-z | - |
dc.identifier.wosid | WOS:000314033600009 | - |
dc.identifier.scopusid | 2-s2.0-84873145314 | - |
dc.author.google | Jang S. | - |
dc.author.google | Jeong B. | - |
dc.author.google | Kim H.O. | - |
dc.contributor.scopusid | 장수미(52663865000) | - |
dc.date.modifydate | 20230331132623 | - |