DocumentCode
3035522
Title
Mollification of the Gibbs phenomena using orthogonal wavelets
Author
Morita, Tohru ; Sato, Ken-ichi
fYear
2011
fDate
26-28 July 2011
Firstpage
6441
Lastpage
6444
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.
Keywords
wavelet transforms; Gibbs phenomena; Gibbs phenomenon; Meyer wavelet; fractional derivative; mollification; orthogonal wavelets; oscillation; rapidly decaying wavelet; wavelet expansion; Discrete Fourier transforms; Electronic mail; Fourier series; Harmonic analysis; Noise; Noise reduction; Oscillators; Gibbs phenomenon; Lanczos method; mollification; orthogonal wavelets; rapidly decaying harmonic wavelet;
fLanguage
English
Publisher
ieee
Conference_Titel
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location
Hangzhou
Print_ISBN
978-1-61284-771-9
Type
conf
DOI
10.1109/ICMT.2011.6002341
Filename
6002341
Link To Document