多尺度紧支撑向量值正交小波的构造  

Construction of orthogonal vector-valued wavelet with arbitrary dilation factor

作　　者：杨渭清[1] 

机构地区：[1]西安文理学院数学系,陕西西安710065

出　　处：《纯粹数学与应用数学》2009年第2期315-320,共6页Pure and Applied Mathematics

基　　金：国家自然科学基金(10771169)

摘　　要：引入了多尺度向量值多分辨分析.利用矩阵理论,给出多尺度紧支撑向量值正交小波存在的必要条件及其构造方法.The definition of vector-valued multiresolution analysis with arbitrary dilation factor is introduced, and orthogonal vector-valued wavelet with arbitrary dilation factor is gived. A necessary condition for the existence of compactly supported orthogonal vector-valued wavelets with arbitrary dilation factor is proved. A method of constructing compactly supported orthogonal vector-valued wavelet with arbitrary dilation factor by means of matrix theory.

关 键 词：多尺度 向量值多分辨分析 向量值小波 向量值尺度函数 

分 类 号：O174.2[理学—数学]