Article
Bi-orthogonal wavelets for investigating Gibbs effects via oblique extension principle
Journal of Physics: Conference Series
Document Type
Conference Proceeding
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
Publisher
Institute of Physics Publishing
Disciplines
Keywords
- Gibbs phenomenon,
- oblique extension principle,
- pseudo-splines,
- quasi-affine system,
- shift-invariant system,
- tight framelets
Scopus ID
Creative Commons License
Creative Commons Attribution 3.0
Indexed in Scopus
Yes
Open Access
Yes
Open Access Type
Gold: This publication is openly available in an open access journal/series
https://doi.org/10.1088/1742-6596/1489/1/012009
Citation Information
Mutaz Mohammad. "Bi-orthogonal wavelets for investigating Gibbs effects via oblique extension principle" Journal of Physics: Conference Series Vol. 1489 Iss. 1 (2020) ISSN: <p><a href="https://v2.sherpa.ac.uk/id/publication/issn/1742-6588" target="_blank">1742-6588</a></p> Available at: http://works.bepress.com/mutaz-mohammad/13/