Document Type
Conference Proceeding
Source of Publication
Journal of Physics: Conference Series
Publication Date
4-7-2020
Abstract
© Published under licence by IOP Publishing Ltd. Gibbs effect is generally known for Fourier and Wavelets expansions of a function in the neighborhood of its discontinuities points which deals with the nonuniform convergence of its truncated sums of these expansions. We study this phenomenon using bi-orthogonal wavelets (or simply, framelets) using pseudo-spline tight framelets generated using the oblique extension principle. We present some examples to illustrate the results.
DOI Link
ISSN
Publisher
Institute of Physics Publishing
Volume
1489
Issue
1
Disciplines
Life Sciences
Keywords
Gibbs phenomenon, oblique extension principle, pseudo-splines, quasi-affine system, shift-invariant system, tight framelets
Scopus ID
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Recommended Citation
Mohammad, Mutaz, "Bi-orthogonal wavelets for investigating Gibbs effects via oblique extension principle" (2020). All Works. 693.
https://zuscholars.zu.ac.ae/works/693
Indexed in Scopus
yes
Open Access
yes
Open Access Type
Gold: This publication is openly available in an open access journal/series