Constructing pairs of dual bandlimited frame wavelets in L-2(R-n)

DC FieldValueLanguage
dc.contributor.authorLemvig, Jakob
dc.date.accessioned2021-12-23T16:10:06Z-
dc.date.available2021-12-23T16:10:06Z-
dc.date.issued2012
dc.identifier.issn10635203
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/9158-
dc.description.abstractGiven a real, expansive dilation matrix we prove that any bandlimited function Psi is an element of L-2(R-n), for which the dilations of its Fourier transform form a partition of unity. generates a wavelet frame for certain translation lattices. Moreover, there exists a dual wavelet frame generated by a finite linear combination of dilations of Psi with explicitly given coefficients. The result allows a simple construction procedure for pairs of dual wavelet frames whose generators have compact support in the Fourier domain and desired time localization. The construction relies on a technical condition on Psi, and we exhibit a general class of function satisfying this condition. (C) 2011 Elsevier Inc. All rights reserved.
dc.language.isoen
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.relation.ispartofAPPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
dc.subjectBandlimited wavelets
dc.subjectDual wavelet frames
dc.subjectGENERATORS
dc.subjectMathematics
dc.subjectMathematics, Applied
dc.subjectNon-tight frames
dc.subjectPartition of unity
dc.subjectReal dilation matrix
dc.titleConstructing pairs of dual bandlimited frame wavelets in L-2(R-n)
dc.typejournal article
dc.identifier.doi10.1016/j.acha.2011.07.002
dc.identifier.isiISI:000301564900001
dc.description.volume32
dc.description.issue3
dc.description.startpage313
dc.description.endpage328
dc.contributor.orcid0000-0002-9338-7755
dc.contributor.orcid0000-0002-9338-7755
dc.contributor.researcheridQ-9564-2019
dc.contributor.researcheridB-7387-2008
dc.identifier.eissn1096603X
dc.publisher.place525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
dcterms.isPartOf.abbreviationAppl. Comput. Harmon. Anal.
dcterms.oaStatusGreen Submitted, Bronze
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