[1]张新成,谢时新,陈清江.关于多元向量值正交小波包性质的研究[J].南京师范大学学报(工程技术版),2006,06(01):052-56.
 ZHANG Xincheng~,XIE Shixin~,CHEN Qingjiang~.On the Orthogonal Multivariate Vector-Valued Wavelet Packets[J].Journal of Nanjing Normal University(Engineering and Technology),2006,06(01):052-56.
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关于多元向量值正交小波包性质的研究
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南京师范大学学报(工程技术版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
06卷
期数:
2006年01期
页码:
052-56
栏目:
出版日期:
2006-03-30

文章信息/Info

Title:
On the Orthogonal Multivariate Vector-Valued Wavelet Packets
作者:
张新成1 谢时新2 陈清江3
1. 开封大学信息工程学院, 河南开封, 475004; 2. 商丘职业技术学院计算机系, 河南商丘, 476000;
3. 西安交通大学理学院, 陕西西安, 710049
Author(s):
ZHANG Xincheng~1XIE Shixin~2CHEN Qingjiang~3
1.College of Information Engineering,Kaifeng University,Kaifeng 475004,China;2.Department of Computer,Shangqiu Vocational Technology College,Shangqiu 476000,China;3.School of Science,Xi’an Jiaotong University,Xi’an 710049,China
关键词:
正交 多元 向量值多分辨分析 向量值尺度函数 向量值小波包 加细方程
Keywords:
orthogonal mu ltivar ia te vector-va lued m ultiresolution analysis vecto r-va lued sca ling functions vectorvalued w avelet packets re finem ent equation
分类号:
O174.2
摘要:
引进了向量值多分辨分析与多元向量值正交小波的概念.给出多元向量值正交小波包的定义.提出具有数量矩阵伸缩的多元向量值正交小波包的构造方法.运用代数学理论、算子理论与积分变换讨论了多元向量值正交小波包的性质.进而构造向量值函数空间L2(Rd,Cr)的一组新的正交基.
Abstract:
In th is paper the v ector-valued m ultiresolution ana lysis and the orthogonal vector-va lued wave le t are introduced. The defin ition o f them ultivariate vecto r-va lued w ave let packets is g iven and a procedu re fo r constructing them is presented. The properties for the vector-va lued w ave let packets has been investigated by using a lg ebra theory, operator theo ry and integra l transfo rm ation. Furtherm ore, new o rthonorm a l basis o f spaceL2 (Rd, Cr ) is obtained by using the o rthogona l vector-valued w ave let packets

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 河南省自然科学基金资助项目( 0211044800 ).
作者简介: 张新成( 1971-) , 讲师, 主要从事数据库及软件开发的教学与研究. E-m ail: k fzxc@ k fu. edu. cn
更新日期/Last Update: 2013-04-29