m尺度正交双向小波的构造  

Construction of orthonormal two-direction wavelet with dilation factor m

作　　者：李万社[1] 房小蒙 张洪涛[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：《纺织高校基础科学学报》2014年第1期96-102,共7页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(1171201)

摘　　要：将2尺度双向加细函数和双向小波的研究以及相关性质推广到m尺度.同时,给出了双向加细函数和双向小波在对称与反对称时应满足的条件.最后研究了如何利用正交尺度函数和对应的正交小波.构造正交双向小波,并给出了具体算例.The research about two-direction refinable functions and two-direction wavelets with dilation factor 2 and their properties are extended to dilation factor m .The condition that the two-direction refin-able functions and its corresponding two-direction wavelet are symmetric and antisymmetric is given .Fi-nally ,an algorithm for constructing the orthonormal two-direction wavelets with orthonormal scaling functions and the corresponding orthonrmal wavelets is presented and an example is given .

关 键 词：双向加细函数 多分辨分析 双向小波 对称性 正交性 

分 类 号：O177.1[理学—数学]