二元向量值多重小波包的双正交性质研究  

The Biorthogonality of Multiple Vector-valued Bivariate Wavelet Packets

作　　者：陈绍东[1] 宋亮[1] 

机构地区：[1]南阳理工学院数学系

出　　处：《首都师范大学学报（自然科学版）》2011年第6期1-4,共4页Journal of Capital Normal University：Natural Science Edition

基　　金：河南自然科学基金(0511013500)资助项目

摘　　要：给出了数量矩阵伸缩的二元向量值多重小波包的定义.运用傅立叶变换与积分变换,讨论了它们的双正交性,得到关于二元向量值多重小波包的双正交公式.The notion of a sort of biorthogonal multiple vector-valued bivariate wavelet packets,which are associated with a quantity dilation matrix,is introduced.The biorthogonality property of the multiple vector-valued wavelet packets in higher dimensions is studied by means of Fourier transform and integral transform biorthogonality formulas concerning these wavelet packets are obtained.

关 键 词：二元 向量值多分辨分析 多重向量值尺度函数 向量值多重小波包 双正交性 

分 类 号：O152[理学—数学]