高维向量值正交小波包的性质  

Some properties of orthogonal vector-valued multivariate wavelet packets

作　　者：陈清江[1] 石智[2] 程正兴[1] 

机构地区：[1]西安交通大学理学院,陕西西安710049 [2]西安建筑科技大学理学院,陕西西安710055

出　　处：《陕西师范大学学报（自然科学版）》2007年第2期22-26,共5页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(10671154);河南省自然科学基金资助项目(0211044800)

摘　　要：研究了高维向量值小波包的构造与性质,引进了数量矩阵伸缩的高维向量值小波包的概念.运用有限群理论和算子理论与积分变换,讨论了它们的性质,得到了高维向量值小波包的正交公式.利用高维向量值小波包的正交性,构造了空间L2(Rs,Cr)的新的正交基.The construction and properties of vector-valued multivariate wavelet packets are studied. The notion of vector-valued multivariate wavelet packet associated with a quantity matrix is introduced. Their properties are discussed and orthogonality formula concerning these wavelet packets are obtained by means of finite group theory, operator theory and integral transformation. Finally, some new orthogonal bases for L^2（R^5, C^r） are constructed from an orthogonal multivariate vectorvalued wavelet packets by virtue of their orthogonality.

关 键 词：正交 加细方程 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]