双正交对称双向小波的构造  

Construction of Symmetric Bi-orthogonal Two-Direction Wavelet

作　　者：吕卫平[1] 刘雪芳[1] 

机构地区：[1]龙岩学院数学与计算机科学学院,福建龙岩364012

出　　处：《龙岩学院学报》2010年第2期9-12,共4页Journal of Longyan University

摘　　要：对任一双向加细函数φ(x)=Σk∈Zpk+φ(2x-k)+Σk∈Zpk-φ(2x-k),给出判断双向加细函数对称的简便条件,并得到由紧支撑双正交双向加细函数构造紧支撑双正交双向多尺度函数的方法,最后给出一类双正交对称双向加细函数对应的双正交对称双向小波的构造算法。For any two-direction function Ф（x）=∑k∈Zpk^＋Ф（2x-k）=∑k∈Pk^-Ф（2x-k）,the simple conditions tojudge the two direction refinable funcion＇s symmetry is given. Further- more, the method for constructing a cornpaetly supported symmetric bi-orthogonal two direction refinable multi-scaling function by a compactly supported symmetric bi-orthogonal two direction refinable function is presented. Then, we will obtain the algorithm to construct a class of symmetric bi-orthogonal two-direction wavelets which corresponds to a symmetric bi-orthogonal two-direction refinable function.

关 键 词：双向加细函数 双向小波 对称性 双正交性 双向多尺度函数 

分 类 号：O174.2[理学—数学]