摘要
引进向量值多分辨分析与向量值正交小波的概念。运用矩阵理论与仿酉向量滤波器理论,给出了向量值正交小波存在的充要条件。提供了一类紧支撑向量值正交小波的构造算法。
The notion of vector-valued multiresolution analysis is introduced, and the definition of orthogonal vector-valued wavelets is given. A sufficient and necessary condition for the existence of compactly supported orthogonal vector-valued wavelets is deriven by means of paraunitary vector filter bank theory and matrix theory. An algorithm for constructing a class of compactly supported orthogonal vector-valued wavelets with scale 2 is presented.
出处
《工程数学学报》
CSCD
北大核心
2007年第2期265-272,共8页
Chinese Journal of Engineering Mathematics
基金
河南省自然科学基金(0211044800).
关键词
向量值多分辨分析
向量值正交小波
加细方程
正定矩阵
vector-valued multiresolution analysis
vector-valued wavelets
refinement equation
positive definite matrix
作者简介
陈清江（1966年2月生），男，博士，副教授，研究方向：小波分析理论及应用．
