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Mollification of the Gibbs phenomena using orthogonal wavelets

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2011Publisher:IEEEJournal:2011 International Conference on Multimedia Technology
Authors: Tohru Morita; Ken-ichi Sato;

doi: 10.1109/icmt.2011.6002341

Mollification of the Gibbs phenomena using orthogonal wavelets

Abstract

In a preceding paper, we study the use of the wavelet expansion in terms of rapidly decaying wavelet, which is Meyer's wavelet, to the problem of mollification in the numerical calculation of the fractional derivative of a function involving noise. In the present paper, we study the problem of depressing the oscillation due to the Gibbs phenomenon, by applying the above method of mollification.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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