Title

Gibbs phenomenon in tight framelet expansions

Document Type

Article

Source of Publication

Communications in Nonlinear Science and Numerical Simulation

Publication Date

2-1-2018

Abstract

© 2017 Elsevier B.V. In this paper, we explore several ways to investigate the Gibbs phenomenon in tight framelet representations. We present results concerning the Gibbs phenomenon by expanding functions using the quasi-affine system. This system is generated by the Haar tight framelets. More precisely, we investigate the existence of Gibbs phenomenon in the truncated expansion of a given function which is expanded by some tight framelet representation. The tight frame method is essentially a generalized wavelet based method. It provides various construction methods to expand functions in L2(R).

ISSN

1007-5704

Publisher

Elsevier B.V.

Volume

55

First Page

84

Last Page

92

Disciplines

Life Sciences

Keywords

B-splines, Frames, Gibbs phenomenon, Quasi-affine system, Unitary extension principle (UEP), Wavelets

Scopus ID

85021634210

Indexed in Scopus

yes

Open Access

no

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