多个生成元的对称紧小波框架  

Symmetric Tight Wavelet Frames with Many Generators

作　　者：常苗[1] 陈清江[1] 李晓焱[1] 

机构地区：[1]西安建筑科技大学理学院,陕西西安710055

出　　处：《江南大学学报（自然科学版）》2013年第1期108-112,共5页Joural of Jiangnan University (Natural Science Edition)　

摘　　要：在构造出3个面具函数,进而得到具有消失矩的对称的紧小波框架的基础上,首先证明了多个生成元的对称紧小波框架的存在性,同时具体构造了5个面具函数d1(η),d2(η),d3(η),d4(η),d5(η),使得小波函数f1(t),…,f5(t)生成L2(R)的紧小波框架,并且它们是对称的或者是反对称的。By constructing three mask functions, the symmetric tight wavelet frame with vanishing moments are obtained, the existence of the symmetric tight wavelet frame with many generators is proved and the algorithm of constructing five mask functions is given such that a tight wavelet frame can be generated with the square integral.

关 键 词：紧小波框架 加细函数 面具函数 

分 类 号：O174.2[理学—数学]