紧支撑多元向量值小波包的正交性  

Orthogonality of compactly supported multivariate vector-valued wavelet packets

作　　者：王慧[1] 邱进凌[1] 王翠玲[2] 

机构地区：[1]南阳理工学院教育学院,河南南阳473000 [2]西安交通大学理学院,陕西西安710049

出　　处：《兰州理工大学学报》2008年第2期133-136,共4页Journal of Lanzhou University of Technology

基　　金：河南省自然科学基金(0211044800)

摘　　要：给出数量矩阵mIr(2≤m∈Z)伸缩的多元向量值小波包的定义及其构造方法.运用代数学理论,算子理论与时频分析方法,讨论多元向量值小波包的正交性,得到多元向量值小波包的正交公式.The definition of multivariate vector-valued wavelet packets were given for a quantity dilation matrix m/r （2≤m∈Z）. Their orthogonality was discussed by using algebraic theory, operator theory, and time-frequency analysis method, so that an orthogonality formula for the multivariate vector-valued wavelet packets was obtained.

关 键 词：多元 正交 加细方程 向量值多分辨分析 向量值小波包 

分 类 号：O174.2[理学—数学]