Parameterization and algebraic structure of 3-band orthogonal wavelet systems

Lizhong Peng; Yongge Wang

doi:10.1007/BF02880793

Parameterization and algebraic structure of 3-band orthogonal wavelet systems

Lizhong Peng^*
, Yongge Wang

^*Corresponding author for this work

Peking University

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

In this paper, a complete parameterization for the 3-band compact wavelet systems is presented. Using the parametric result, a program of the filterbank design is completed, which can give not only the filterbanks but also the graphs of all possible scaling functions and their corresponding wavelets. Especially some symmetric wavelets with small supports are given. Finally an algebraic structure for this kind of wavelet systems is characterized.

Original language	English
Pages (from-to)	1531-1543
Number of pages	13
Journal	Science in China, Series A: Mathematics
Volume	44
Issue number	12
DOIs	https://doi.org/10.1007/BF02880793
State	Published - Dec 2001
Externally published	Yes

Keywords

Algebraic structure
McMillan degree
Wavelets

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10.1007/BF02880793

Cite this

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abstract = "In this paper, a complete parameterization for the 3-band compact wavelet systems is presented. Using the parametric result, a program of the filterbank design is completed, which can give not only the filterbanks but also the graphs of all possible scaling functions and their corresponding wavelets. Especially some symmetric wavelets with small supports are given. Finally an algebraic structure for this kind of wavelet systems is characterized.",

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AU - Wang, Yongge

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AB - In this paper, a complete parameterization for the 3-band compact wavelet systems is presented. Using the parametric result, a program of the filterbank design is completed, which can give not only the filterbanks but also the graphs of all possible scaling functions and their corresponding wavelets. Especially some symmetric wavelets with small supports are given. Finally an algebraic structure for this kind of wavelet systems is characterized.

KW - Algebraic structure

KW - McMillan degree

KW - Wavelets

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U2 - 10.1007/BF02880793

DO - 10.1007/BF02880793

M3 - 文章

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EP - 1543

JO - Science in China, Series A: Mathematics

JF - Science in China, Series A: Mathematics

IS - 12

ER -

Parameterization and algebraic structure of 3-band orthogonal wavelet systems

Abstract

Keywords

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