具有整数伸缩因子的多变量向量值双正交多小波包  

Biorthogonal Vector-valued Multivariable Multiwavelet Packets with an Integer-valued Dilation Factor

作　　者：朱玉清[1] 卫艳荣[2] 程正兴[3] 

机构地区：[1]南阳理工学院数理学院 [2]济源职业技术学院基础部 [3]西安交通大学理学院

出　　处：《郑州大学学报（理学版）》2012年第3期61-65,共5页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目;编号10571113;陕西省自然科学基金资助项目;编号2009JM1002

摘　　要：研究多变量向量值双正交多小波包的构造与性质.引进了向量值多分辨分析与多变量值双正交多重小波的概念.给出多变量多重向量值双正交小波包的定义及其迭代方法.运用积分变换与有限群理论,讨论了多变量多重向量值双正交小波包的性质,得到了多变量多重向量值双正交小波包的双正交公式,进而给出多变量向量值函数空间L2(Rs,Cn)的一个新的基底.The definition of the biorthogonal vector-valued multivariate multiwavelet packets was given and vector-valued multiresolution analysis was introduced.A procedure for construction was presented.The properties for the biorthogonal multiple vector-valued multivariate wavelet packets were investigated by virtue of iterative algorithms and operator theory.Biorthogonality formulas concerning these wavelet packets were formulated.Finally,a new basis of L2（Rs,Cn）was constructed by using the biorthogonal multiple vector-valued multivariate wavelet packets.

关 键 词：多变量 多重 双正交 向量值多分辨分析 迭代算法 向量值小波包 

分 类 号：O174.2[理学—数学]