正交对称紧支撑双向小波的构造  

Construction of Compactly Supported Orthonormal Symmetric Two-Direction Wavelet

作　　者：李万社[1] 罗立娑[1] 李俏[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《汕头大学学报（自然科学版）》2011年第1期1-7,共7页Journal of Shantou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(10571113)

摘　　要：介绍了双向多分辨分析以及双向小波的概念,研究了正交双向小波的相关性质,给出了正交双向小波对称性的判别条件,最后,基于双向加细函数的紧支撑性,利用双向多分辨分析以及矩阵理论,给出了一种构造正交对称双向小波的方法.In this paper,the concepts of two-direction multiresolution analysis and two-direction wavelet are introduced,and the symmetry of the orthogonal two-direction wavelet is researched.Based on the compactly support of the two-direction scaling function,a method for constructing compactly supported orthogonal symmetric two-direction wavelet is given and the method is practical and effective.

关 键 词：正交性 对称性 紧支撑 双向加细函数 双向小波函数 

分 类 号：O174.2[理学—数学]