紧支撑正交复小波的参数化（英文）  

Parameterizations of Orthogonal Complex Wavelets with Short Support

作　　者：冯岩[1,2] 袁德辉[3] 杨守志[1] 

机构地区：[1]汕头大学数学系,汕头515063 [2]信阳师范学院计算机与信息技术学院,信阳464000 [3]韩山师范学院数学与信息技术系,潮州521041

出　　处：《工程数学学报》2013年第5期773-780,共8页Chinese Journal of Engineering Mathematics

基　　金：The National Natural Science Foundation of China(11071152);the Natural Science Foundation of Guangdong Province(10151503101000025;S2011010004511)

摘　　要：近年来,紧支撑对称正交复小波被广泛应用到不同领域.本文给出一简单的方法对紧支撑的正交复小波进行参数化.该方法可以用来构造一类紧支撑、满足高阶求和法则的正交实值或复值小波.最后给出了具有不同性质的正交复小波的构造例子.The compactly supported orthogonal complex wavelets with symmetry have widely been used in various applications during the recent years. In this paper, we present a simple but complete method for the parameterizing orthogonal complex wavelets with length from four to six. This method can provide a class of orthogonal real or complex wavelets with short support and high sum rules. Furthermore, some examples are given in this paper.

关 键 词：参数化 正交性 复小波 对称性 紧支撑 

分 类 号：O172.42[理学—数学]