矩阵伸缩的二元向量值双正交小波包  

Biorthogonal bivariate vector-valued wavelet packets with dilation matrix

作　　者：王慧[1] 宋苏罗[2] 

机构地区：[1]南阳理工学院教育学院,河南南阳473000 [2]南阳理工学院应用数学系,河南南阳473000

出　　处：《兰州理工大学学报》2009年第4期141-145,共5页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(10571154)

摘　　要：研究二元向量值双正交小波包的构造及性质.引进二元向量值双正交小波包的概念.运用时频分析方法,讨论它们的性质,得到向量值小波包的双正交公式与向量值函数空间的Riesz基.The construction and properties of biorthogonal bivariate vector-valued wavelet packets were investigated.The notion of a class of biorthogonal vector-valued bivariate wavelet packets was introduced.Their properties were discussed by virtue of time-frequency analysis method,and three biorthogonality formulus were obtained.A Riesz basis of vector-valued function space L^2（R^2,C^s） was constructed from these wavelet packets.

关 键 词：二元 双正交 向量值多分辨分析 向量值尺度函数 向量值小波包 

分 类 号：O174.2[理学—数学]