高维多重向量值正交小波包的研究  

A study of higher-dimensional orthogonal multiple vector-valued wavelet packets

作　　者：闫杰生[1] 王翠玲[2] 陈清江[2] 

机构地区：[1]商丘职业技术学院计算机系,河南商丘476000 [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》2007年第2期141-144,共4页Journal of Lanzhou University of Technology

基　　金：河南省自然科学基金项目(0211044800);2004年吉林省教育厅"十五"规划项目

摘　　要：引进向量值多分辨分析,给出对应于高维多重向量值正交尺度函数的多重向量值小波包的定义及其构造方法.运用代数学理论,积分变换与算子理论,讨论高维多重向量值正交小波包的性质.The vector-valued multi-resolution analysis was introduced. The definition of multiple vector valued wavelet packets associated with the orthogonal multiple vector-valued multivariable scaling functions and its constitutive procedure were given. The properties of above-mentioned wavelet packets were investigated by using algebra theory, integral transform, and operator theory.

关 键 词：高维 正交 向量值尺度函数 向量值多分辨分析 向量值小波包 

分 类 号：O174.2[理学—数学]