一类正交双向小波包的刻画  

Characteristics of Orthogonal Two-direction Wavelet Packets

作　　者：李岚[1,2] 程正兴[1] 

机构地区：[1]西安交通大学理学院,陕西西安710049 [2]西安文理学院数学系,陕西西安710065

出　　处：《宁夏大学学报（自然科学版）》2010年第4期317-320,共4页Journal of Ningxia University(Natural Science Edition)

基　　金：陕西省教育厅科学研究计划资助项目(09JK708)

摘　　要：引入了对应于双向加细尺度的3带正交双向小波包,建立了紧支撑3带正交双向小波包的理论框架.讨论了这类正交双向小波包的性质.结果表明,正交双向小波包不仅具有传统小波包的特点,同时在应用中具有较强的灵活性.The concept of orthogonal two-direction wavelet packets with dilation 3 is given.The theoretical framework of orthogonal two-direction wavelet packets is developed.The properties of two-direction wavelet packets are discussed.It is shown that orthogonal two-direction wavelet packets not only have the characteristic wavelet packets,but also are more flexible in application.

关 键 词：双向小波 双向多分辨分析 双向尺度函数 正交性 双向小波包 

分 类 号：O174.2[理学—数学]