三维双正交小波包的性质刻划  

The properties of biorthogonal ternary wavelet packets

作　　者：赵浪[1] 于育民[2] 

机构地区：[1]西安建筑科技大学理学院,陕西西安710055 [2]南阳理工学院应用数学系,河南南阳473004

出　　处：《纺织高校基础科学学报》2011年第1期96-102,共7页Basic Sciences Journal of Textile Universities

基　　金：陕西省自然科学基金项目(2009JM1002)

摘　　要：研究三维双正交小波包的性质,推广了一元双正交小波包的概念,引入了三维不可分双正交小波包的定义并给出一种构造方法.使用分离变量法与时频分析方法讨论了三维不可分双正交小波包的性质,得到3个双正交性公式.由三维双正交小波包可以构造L2(R3)的R iesz基.The properties of the biorthogonal ternary wavelet packets are studied.Firstly,the notion of biorthogonal univariate wavelet packets is generalized.The definition for biorthogonal nonseparable ternary wavelet packets is given and a procedure for its construction is proposed.The biorthogonality property for the biorthogonal nonseparable ternary wavelet packets is investigated by using separation variable method and time-frequency analysis method, then three biorthogonality formulas are established,the Riesz basis of L2（R3） can be constructed by the biorthogonal ternary wavelet packets.

关 键 词：多分辨分析 尺度函数 双正交 序列符号 时频分析 小波包 

分 类 号：O174.2[理学—数学]