Please use this identifier to cite or link to this item:
|Title:||Pairs of dual periodic frames|
|Keywords:||Dual pairs of frames|
|Citation:||Christensen, 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|
|Abstract:||The 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.|
|Source Title:||Applied and Computational Harmonic Analysis|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Feb 15, 2019
WEB OF SCIENCETM
checked on Feb 6, 2019
checked on Dec 14, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.