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.
出处
《龙岩学院学报》
2010年第2期9-12,共4页
Journal of Longyan University
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
two direction refinable function
two-direction wavelet
symmetry bi-orthogonal
two direction refinable multi-scaling function
