Title

Bi-orthogonal wavelets for investigating Gibbs effects via oblique extension principle

Author First name, Last name, Institution

Mutaz Mohammad, Zayed University

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.

ISSN

1742-6588

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

85083267678

Indexed in Scopus

yes

Open Access

yes

Open Access Type

Gold: This publication is openly available in an open access journal/series

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