Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.acha.2005.09.006
Title: Symmetric and antisymmetric tight wavelet frames
Authors: Goh, S.S. 
Lim, Z.Y.
Shen, Z. 
Keywords: Multiresolution analysis
Symmetry
Wavelet frame
Issue Date: May-2006
Citation: Goh, 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
Abstract: For 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.
Source Title: Applied and Computational Harmonic Analysis
URI: http://scholarbank.nus.edu.sg/handle/10635/104686
ISSN: 10635203
DOI: 10.1016/j.acha.2005.09.006
Appears in Collections:Staff Publications

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

SCOPUSTM   
Citations

23
checked on Nov 17, 2019

WEB OF SCIENCETM
Citations

17
checked on Nov 8, 2019

Page view(s)

82
checked on Nov 9, 2019

Google ScholarTM

Check

Altmetric


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