三元双正交小波滤波器的刻画  

Characterization of Filters of Biorthogonal Trivariate Wavelets

作　　者：周建锋[1] 

机构地区：[1]西安文理学院数学与计算机工程学院,陕西西安710065

出　　处：《数学的实践与认识》2014年第3期134-141,共8页Mathematics in Practice and Theory

基　　金：陕西省教育厅科研计划资助项目(12JK1107);西安市科技计划项目(CX12189WL23);国家自然科学基金(10571114)

摘　　要：研究由三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.当给定的一对三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,给出一类三元双正交小波滤波器的显示构造公式和一个计算实例.讨论了三元双正交小波包的的性质.We discuss the matrix extension of filter banks of biorthogonal wavelets associated with a pair of biorthogonal interpolatory trivariate scaling functions with compact support.When one of a pair of trivariate biorthogonal scaling functions given is an interpolatory one,explicit formulas for constructing filter banks of the corresponding biorthogonal trivariate wavelets is presented by virtue of lifting scheme and polyphase matrix decomposition.An example of filters is offered.The properties regarding trivariate wavelet packets are characterized.

关 键 词：三元 小波 双正交小波 尺度函数 滤波器 小波包 

分 类 号：O174[理学—数学]