二元向量值紧支撑正交小波的构造  

Construction of Bivariate Compactly Supported Orthogonal Vectoer-Valued Wavelets

作　　者：李万社[1] 蒙少亭[1] 延卫军[1,2] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062 [2]榆林学院数学系,陕西榆林719000

出　　处：《汕头大学学报（自然科学版）》2009年第3期1-9,共9页Journal of Shantou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(10571113)

摘　　要：研究了L2(R2,Cr)中二元向量值紧支撑正交小波的构造.给出了二元向量值多分辨分析和二元向量值正交小波的概念,利用多分辨分析理论,得到了一种有效的二元紧支撑向量值正交小波的构造算法,并给出了数值算例.Construction of bivariate compactly supported orthogonal vector-valued wavelets on L2（2,Gr） is investigated in the paper. The notion of bivariate vector-valued multiresolution analysis is introduced and the definition of bivariate orthogona] vector- valued wavelets is given. An effective algorithm for constructing bivariate compactly supported orthogonal vector-valued wavelets is obtained by using muhiresolution analysis theory. Finally, an example is given.

关 键 词：二元向量值多分辨分析 二元向量值尺度函数 二元紧支撑向量值正交小波 

分 类 号：O177.1[理学—数学]