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Erschienen in:
2018 | OriginalPaper | Buchkapitel
Gibbs Phenomenon for Bi-orthogonal Wavelets
verfasst von : Jie Zhou, Hongchan Zheng
Erschienen in: Advances in Intelligent Systems and Interactive Applications
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Abstract
In this paper, we consider that a Gibbs phenomenon exists for the biorthogonal wavelets expansions of a discontinuous function. Firstly, we study properties of the biorthogonal wavelets kernel. Based on these properties of the kernel, we discuss existence of this phenomenon for the biorthogonal wavelets expansions of a discontinuous function. Also, we present the necessary condition of this phenomenon existence for the biorthogonal wavelets expansions of a discontinuous function.