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

^*此作品的通讯作者

Peking University

科研成果: 期刊稿件 › 文章 › 同行评审

10 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1531-1543
页数	13
期刊	Science in China, Series A: Mathematics
卷	44
期	12
DOI	https://doi.org/10.1007/BF02880793
出版状态	已出版 - 12月 2001
已对外发布	是

访问文件

10.1007/BF02880793

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{2de3be6bb66d46d4992ac0d6f2eb5eb2,

title = "Parameterization and algebraic structure of 3-band orthogonal wavelet systems",

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.",

keywords = "Algebraic structure, McMillan degree, Wavelets",

author = "Lizhong Peng and Yongge Wang",

year = "2001",

month = dec,

doi = "10.1007/BF02880793",

language = "英语",

volume = "44",

pages = "1531--1543",

journal = "Science in China, Series A: Mathematics",

issn = "1006-9283",

publisher = "Science Press ",

number = "12",

}

TY - JOUR

T1 - Parameterization and algebraic structure of 3-band orthogonal wavelet systems

AU - Peng, Lizhong

AU - Wang, Yongge

PY - 2001/12

Y1 - 2001/12

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/0042328309

U2 - 10.1007/BF02880793

DO - 10.1007/BF02880793

M3 - 文章

AN - SCOPUS:0042328309

SN - 1006-9283

VL - 44

SP - 1531

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

摘要

访问文件

其它文件与链接

指纹

引用此