Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.acha.2007.10.004
DC FieldValue
dc.titleExtension principles for tight wavelet frames of periodic functions
dc.contributor.authorGoh, S.S.
dc.contributor.authorTeo, K.M.
dc.date.accessioned2014-10-28T02:35:07Z
dc.date.available2014-10-28T02:35:07Z
dc.date.issued2008-09
dc.identifier.citationGoh, S.S., Teo, K.M. (2008-09). Extension principles for tight wavelet frames of periodic functions. Applied and Computational Harmonic Analysis 25 (2) : 168-186. ScholarBank@NUS Repository. https://doi.org/10.1016/j.acha.2007.10.004
dc.identifier.issn10635203
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103257
dc.description.abstractA unitary extension principle for constructing normalized tight wavelet frames of periodic functions of one or higher dimensions is established. While the wavelets are nonstationary, the method much simplifies their construction by reducing it to a matrix extension problem that involves finite rows of complex numbers. Further flexibility is achieved by reformulating the result as an oblique extension principle. In addition, with a constructive proof, necessary and sufficient conditions for a solution of the matrix extension problem are obtained. A complete characterization of all possible solutions is also provided. As illustration, parametric families of trigonometric polynomial tight wavelet frames are constructed. © 2007 Elsevier Inc. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.acha.2007.10.004
dc.sourceScopus
dc.subjectMatrix extension
dc.subjectRefinable functions
dc.subjectWavelet frames
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1016/j.acha.2007.10.004
dc.description.sourcetitleApplied and Computational Harmonic Analysis
dc.description.volume25
dc.description.issue2
dc.description.page168-186
dc.description.codenACOHE
dc.identifier.isiut000258606800003
Appears in Collections:Staff Publications

Show simple item record
Files in This Item:
There are no files associated with this item.

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.