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Article: A Geometric Construction of Tight Multivariate Gabor Frames with Compactly Supported Smooth Windows

TitleA Geometric Construction of Tight Multivariate Gabor Frames with Compactly Supported Smooth Windows
Authors
Pfander, Götz E.Rashkov, PeterWang, Yang
KeywordsLattice tilings and packings
Symplectic equivalence
Time-frequency lattices
Issue Date2012
Citation
Journal of Fourier Analysis and Applications, 2012, v. 18, n. 2, p. 223-239 How to Cite?
DOI: http://dx.doi.org/10.1007/s00041-011-9198-x
AbstractFundamental domains of pairs of lattices were used by Han and Wang to construct multivariate Gabor frames for separable lattices. We build upon their results to obtain Gabor frames with smooth and compactly supported window functions. Our results are applicable, for example, if certain pairs of lattices with equal density allow for a common compact and star-shaped fundamental domain. © 2011 Springer Science+Business Media, LLC.
Persistent Identifierhttp://hdl.handle.net/10722/363153
ISSN
1069-5869
2023 Impact Factor: 1.2
2023 SCImago Journal Rankings: 0.889

 

DC FieldValueLanguage
dc.contributor.authorPfander, Götz E.-
dc.contributor.authorRashkov, Peter-
dc.contributor.authorWang, Yang-
dc.date.accessioned2025-10-10T07:44:53Z-
dc.date.available2025-10-10T07:44:53Z-
dc.date.issued2012-
dc.identifier.citationJournal of Fourier Analysis and Applications, 2012, v. 18, n. 2, p. 223-239-
dc.identifier.issn1069-5869-
dc.identifier.urihttp://hdl.handle.net/10722/363153-
dc.description.abstractFundamental domains of pairs of lattices were used by Han and Wang to construct multivariate Gabor frames for separable lattices. We build upon their results to obtain Gabor frames with smooth and compactly supported window functions. Our results are applicable, for example, if certain pairs of lattices with equal density allow for a common compact and star-shaped fundamental domain. © 2011 Springer Science+Business Media, LLC.-
dc.languageeng-
dc.relation.ispartofJournal of Fourier Analysis and Applications-
dc.subjectLattice tilings and packings-
dc.subjectSymplectic equivalence-
dc.subjectTime-frequency lattices-
dc.titleA Geometric Construction of Tight Multivariate Gabor Frames with Compactly Supported Smooth Windows-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s00041-011-9198-x-
dc.identifier.scopuseid_2-s2.0-84858752500-
dc.identifier.volume18-
dc.identifier.issue2-
dc.identifier.spage223-
dc.identifier.epage239-

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