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  1. Journal of Fourier Analysis and Applications
  2. Journal of Fourier Analysis and Applications : Volume 13
  3. Journal of Fourier Analysis and Applications : Volume 13, Issue 5, October 2007
  4. Stable Filtering Schemes with Rational Dilations
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Journal of Fourier Analysis and Applications : Volume 23
Journal of Fourier Analysis and Applications : Volume 22
Journal of Fourier Analysis and Applications : Volume 21
Journal of Fourier Analysis and Applications : Volume 20
Journal of Fourier Analysis and Applications : Volume 19
Journal of Fourier Analysis and Applications : Volume 18
Journal of Fourier Analysis and Applications : Volume 17
Journal of Fourier Analysis and Applications : Volume 16
Journal of Fourier Analysis and Applications : Volume 15
Journal of Fourier Analysis and Applications : Volume 14
Journal of Fourier Analysis and Applications : Volume 13
Journal of Fourier Analysis and Applications : Volume 13, Issue 6, December 2007
Journal of Fourier Analysis and Applications : Volume 13, Issue 5, October 2007
On Multivariate Compactly Supported Bi-Frames
Exact Solutions of Some Discrete Deconvolution Problems
Distributional Point Values and Convergence of Fourier Series and Integrals
Two-Sided Probabilistic Versions of Hardy’s Inequality
The Uniqueness of Shift-Generated Duals for Frames in Shift-Invariant Subspaces
Stable Filtering Schemes with Rational Dilations
Fourier Restriction of H1 Functions on Polynomial Surfaces
Journal of Fourier Analysis and Applications : Volume 13, Issue 4, August 2007
Journal of Fourier Analysis and Applications : Volume 13, Issue 3, June 2007
Journal of Fourier Analysis and Applications : Volume 13, Issue 2, April 2007
Journal of Fourier Analysis and Applications : Volume 13, Issue 1, February 2007
Journal of Fourier Analysis and Applications : Volume 12
Journal of Fourier Analysis and Applications : Volume 11
Journal of Fourier Analysis and Applications : Volume 10
Journal of Fourier Analysis and Applications : Volume 9
Journal of Fourier Analysis and Applications : Volume 8
Journal of Fourier Analysis and Applications : Volume 7
Journal of Fourier Analysis and Applications : Volume 6
Journal of Fourier Analysis and Applications : Volume 5
Journal of Fourier Analysis and Applications : Volume 4
Journal of Fourier Analysis and Applications : Volume 3

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Stable Filtering Schemes with Rational Dilations

Content Provider SpringerLink
Author Johnson, Brody Dylan
Copyright Year 2007
Abstract The relationship between multiresolution analysis and filtering schemes is a well known facet of wavelet theory. However, in the case of rational dilation factors, the wavelet literature is somewhat lacking in its treatment of this relationship. This work seeks to establish a means for the construction of stable filtering schemes with rational dilations through the theory of shift-invariant spaces. In particular, principal shift-invariant spaces will be shown to offer frame wavelet decompositions for rational dilations even when the associated scaling function is not refinable. Moreover, it will be shown that such decompositions give rise to stable filtering schemes with finitely supported filters, reminiscent of those studied by Kovacevic and Vetterli.
Starting Page 607
Ending Page 621
Page Count 15
File Format PDF
ISSN 10695869
Journal Journal of Fourier Analysis and Applications
Volume Number 13
Issue Number 5
e-ISSN 15315851
Language English
Publisher Birkhäuser-Verlag
Publisher Date 2007-10-18
Publisher Place Boston
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Fourier Analysis Abstract Harmonic Analysis Approximations and Expansions Partial Differential Equations Applications of Mathematics Signal, Image and Speech Processing
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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