Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.acha.2011.12.003
DC FieldValue
dc.titlePairs of dual periodic frames
dc.contributor.authorChristensen, O.
dc.contributor.authorGoh, S.S.
dc.date.accessioned2014-10-28T02:43:00Z
dc.date.available2014-10-28T02:43:00Z
dc.date.issued2012-11
dc.identifier.citationChristensen, O., Goh, S.S. (2012-11). Pairs of dual periodic frames. Applied and Computational Harmonic Analysis 33 (3) : 315-329. ScholarBank@NUS Repository. https://doi.org/10.1016/j.acha.2011.12.003
dc.identifier.issn10635203
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103911
dc.description.abstractThe time-frequency analysis of a signal is often performed via a series expansion arising from well-localized building blocks. Typically, the building blocks are based on frames having either Gabor or wavelet structure. In order to calculate the coefficients in the series expansion, a dual frame is needed. The purpose of the present paper is to provide constructions of dual pairs of frames in the setting of the Hilbert space of periodic functions L2(0,2π). The frames constructed are given explicitly as trigonometric polynomials, which allows for an efficient calculation of the coefficients in the series expansions. The generality of the setup covers periodic frames of various types, including nonstationary wavelet systems, Gabor systems and certain hybrids of them. © 2012 Elsevier Inc. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.acha.2011.12.003
dc.sourceScopus
dc.subjectDual pairs of frames
dc.subjectGabor frames
dc.subjectPeriodic frames
dc.subjectTrigonometric polynomials
dc.subjectWavelet frames
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1016/j.acha.2011.12.003
dc.description.sourcetitleApplied and Computational Harmonic Analysis
dc.description.volume33
dc.description.issue3
dc.description.page315-329
dc.description.codenACOHE
dc.identifier.isiut000307372800001
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