Construction and properties of multiwavelet packets with arbitrary scale and the related algorithms of decomposition and reconstruction

被引：8

作者：

Leng, Jin-Sonc ^{[1
]}

Cheng, Zheng-Xing

Huang, Ting-Zhu

Lai, Choi-Hong

机构：

[1] Xi An Jiao Tong Univ, Dept Math, Xian 710049, Peoples R China

[2] Univ Elect Sci & Technol, Sch Appl Math, Chengdu 610054, Peoples R China

[3] Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 610054, Peoples R China

[4] Univ Greenwich, Sch Comp & Math Sci, London, England

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2006年 / 51卷 / 11期

基金：

英国工程与自然科学研究理事会;

关键词：

multiwavelets; multiwavelet packets; scale; scaling function vector; matrix sequence;

D O I：

10.1016/j.camwa.2006.05.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A more flexible method of constructing multiwavelet packets with the scale alpha > 2 from the same set of multiwavelets is discussed in this paper. The properties of these packets are studied. The formulae for performing iterations and decomposition are given. L-2(R) can be further decomposed by these multiwavelet packets and good bases of L-2(R) are given. Finally, we provide the algorithms for the decomposition and reconstruction using these multiwavelet packets. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：1663 / 1676

页数：14

共 4 条

[1] Algorithm of decomposition and reconstruction with orthogonal multiwavelet packets with random scale
Leng, JS
Huang, TZ
[J]. DCABES 2004, Proceedings, Vols, 1 and 2, 2004, : 323 - 325
[2] The properties of biorthogonnal multiwavelet packets with scale=a
Leng, JS
Cheng, ZX
Li, JP
[J]. WAVELET ANALYSIS AND ITS APPLICATIONS (WAA), VOLS 1 AND 2, 2003, : 484 - 489
[3] Decomposition and reconstruction algorithms for framelet packets
Lu, Dayong
Xu, Meiyu
[J]. Journal of Computational Information Systems, 2015, 11 (15): : 5347 - 5352
[4] Construction and simulation of a joint scale model for power electronic converters based on wavelet decomposition and reconstruction algorithms
He, Jianhua
[J]. PLOS ONE, 2024, 19 (04):

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