Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.acha.2005.09.006
DC FieldValue
dc.titleSymmetric and antisymmetric tight wavelet frames
dc.contributor.authorGoh, S.S.
dc.contributor.authorLim, Z.Y.
dc.contributor.authorShen, Z.
dc.date.accessioned2014-10-28T02:52:31Z
dc.date.available2014-10-28T02:52:31Z
dc.date.issued2006-05
dc.identifier.citationGoh, S.S., Lim, Z.Y., Shen, Z. (2006-05). Symmetric and antisymmetric tight wavelet frames. Applied and Computational Harmonic Analysis 20 (3) : 411-421. ScholarBank@NUS Repository. https://doi.org/10.1016/j.acha.2005.09.006
dc.identifier.issn10635203
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/104686
dc.description.abstractFor a given set of wavelets Ψ, we provide a general, and yet simple, method to derive a new set of wavelets Ψ′ such that each wavelet in Ψ′ is either symmetric or antisymmetric. The affine system generated by Ψ′ is a tight frame for the space L2 ( Rd ) whenever the affine system generated by Ψ is so. Further, when Ψ is constructed via a multiresolution analysis, Ψ′ can also be derived from a, but possibly different, multiresolution analysis. If moreover the multiresolution analysis for constructing Ψ is generated by a symmetric refinable function, then Ψ′ is obtained from the same multiresolution analysis. © 2005 Elsevier Inc. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.acha.2005.09.006
dc.sourceScopus
dc.subjectMultiresolution analysis
dc.subjectSymmetry
dc.subjectWavelet frame
dc.typeOthers
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1016/j.acha.2005.09.006
dc.description.sourcetitleApplied and Computational Harmonic Analysis
dc.description.volume20
dc.description.issue3
dc.description.page411-421
dc.description.codenACOHE
dc.identifier.isiut000237858000008
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