摘要
研究多重向量值双正交小波的存在性及构造问题.在给定一对多重向量值双正交尺度函数的情形下,运用向量细分格和矩阵理论,证明与之对应的一对多重向量值双正交小波的存在性.给出一类紧支撑多重向量值双正交小波的构造算法.
Existence and construction of biorthogonal multiple vector-valued wavelets are studied. The author prove that given a pair of biorthogonal multiple vector-valued scaling functions there exists a pair of associated biorthogonal multiple vector-valued wavelet functions by means of vector subdivision scheme and matrix theory. The author also present a procedure for constructiong a class of compactly supported biorthogonal multiple vector-valued wavelets.
出处
《河北大学学报（自然科学版）》
CAS
北大核心
2009年第1期13-18,共6页
Journal of Hebei University(Natural Science Edition)
基金
河南省自然科学基金资助项目(0511013500)
关键词
双正交
卷积
多重向量值多分辨分析
多重向量值尺度函数
多重向量值小波
加细方程
biorthogonal
convolution
multiple vector-valued multiresolution analysis
multiple vector-valued refinable functions
multiple vector-valued wavelets
refinement equation
