多元双正交小波滤波器的构造  

Construction of filter banks of biorthogonal multivariate wavelets

作　　者：陈清江[1] 王晓凤[2] 石智[1] 

机构地区：[1]西安建筑科技大学理学院,陕西西安710055 [2]河南城建学院数理系,河南平顶山467001

出　　处：《湖北大学学报（自然科学版）》2009年第3期235-240,共6页Journal of Hubei University：Natural Science

基　　金：国家自然科学基金(10571113)资助;陕西省教育厅专项科研计划项目(08JK340)资助;西安建筑科技大学项目(JC0718)资助

摘　　要：讨论由多元双正交插值尺度函数构造对应的双正交小波滤波器的矩阵扩充问题.当一对给定的多元双正交尺度函数中有一个为插值函数时,利用提升思想与矩阵多相分解方法,给出一类多元双正交小波滤波器的显示构造公式.讨论了多元双正交小波包的性质,得到两个双正交性公式.The matrix extension problem of filters of biorthogonal multivariate wavelets is investigated. When one of a pair of biorthogonal multivariate sealing functions given is an interpolatory one, explicit formulas for constructing filter of the corresponding biorthogonal multivariate wavelets are presented by virtue of the lifting scheme and polyphase matrix decomposition. Their properties of biorthogonal multivariate wavelet packets are characterized, and two biorthogonality formula concerning the wavelet packets are obtained.

关 键 词：多元 双正交尺度函数 双正交小波 滤波器 小波包 

分 类 号：O174.2[理学—数学]