紧支撑向量值小波的构造与性质  

Construction and Properties of Compactly Supported Vector-Valued Wavelets

作　　者：李华[1] 

机构地区：[1]信阳职业技术学院,河南信阳464000

出　　处：《天中学刊》2007年第5期9-13,共5页Journal of Tianzhong

摘　　要：引进向量值多分辨分析和向量值正交小波的概念,给出了向量值正交小波存在的充分必要条件;运用多分辨分析方法和矩阵理论,给出了一类紧支撑向量值正交小波的构造算法;给出了3-系数向量值正交小波的构造算例.The concept of vector-valued multi-resolution analysis and vector-valued orthogonal wavelets is introduced. A necessary and sufficient condition for the existence of orthogonal vector-valued wavelets is given. The construction algorithm of compactly supported orthogonal vector-valued wavelets is also given by means of multi-resolution analysis and matrix theory. Finally, an example for constructing the vector-valued wavelets with 3-coefficient is given.

关 键 词：向量值多分辨分析 向量值尺度函数 向量值正交小波 矩阵伸缩方程 正定矩阵 

分 类 号：O174.2[理学—数学]