双向正交的加细函数及其对应双向小波的构造  

Construction of Two-direction Orthogonal Refinable Functions and the Corresponding Orthogonal Two-direction Wavelets

作　　者：谢长珍[1] 

机构地区：[1]汕头大学数学系,广东汕头515063

出　　处：《宁夏大学学报（自然科学版）》2009年第1期9-11,21,共4页Journal of Ningxia University(Natural Science Edition)

基　　金：广东省自然科学基金资助项目(05008289;032038);广东省自然科学基金博士启动基金资助项目(04300917)

摘　　要：给出双向正交的加细函数及其对应双向小波的构造方法.具体地,如果一个加细函数的面具m0(z)满足m0(z)2+m0(-z)2≤1,则可以应用该面具构造一类双向正交加细函数.更进一步,给出构造相应的双向正交的小波的显式公式.最后给出构造算例.In this paper, a procedure of constructing orthogonat two-direction refinable functions and the corresponding orthogonal two-direction wavelets is given. Concretely, suppose that mo （z） is a mask of some refinable function, and satisfies ｜mo（z）｜^2＋｜mo（-z）｜^2≤1. Then a class of orthogonal two-direction refinable functions can be constructed based on mo （z）. Furthermore, an explicit formula for constructing the corresponding orthogonal two-direction wavelets is also obtained. Finally, an example is given.

关 键 词：双向加细函数 双向小波 正向两尺度符号 负向两尺度符号 面具 

分 类 号：O174.2[理学—数学]