Real-Valued Periodic Wavelets: Construction and Relation with Fourier Series

Real-Valued Periodic Wavelets: Construction and Relation with Fourier Series

Year:    1999

Author:    Han-Lin Chen, Xue-Zhang Liang, Si-Long Peng, Shao-Liang Xiao

Journal of Computational Mathematics, Vol. 17 (1999), Iss. 5 : pp. 509–522

Abstract

In this paper, we construct the real-valued periodic orthogonal wavelets. The method presented here is new. The decomposition and reconstruction formulas involve only 4 terms respectively. It demonstrates that the formulas are simpler than those in other kinds of periodic wavelets. Our wavelets are useful in applications since it is real-valued. The relation between the periodic wavelets and the Fourier series is also discussed.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1999-JCM-9121

Journal of Computational Mathematics, Vol. 17 (1999), Iss. 5 : pp. 509–522

Published online:    1999-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Periodic wavelet Multiresolution Fourier series Linear independence.

Author Details

Han-Lin Chen

Xue-Zhang Liang

Si-Long Peng

Shao-Liang Xiao