A CLASS OF COMPACTLY SUPPORTED ORTHOGONAL SYMMETRIC COMPLEX WAVELETS WITH DILATION FACTOR 3

作     者：杨守志 沈延锋 李尤发 

作者机构：Department of MathematicsShantou UniversityShantou 515063China Department of MathematicsGuangxi UniversityNanning 530004China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2012年第32卷第4期

页      面：1415-1425页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China (11071152, 11126343) the Natural Science Foundation of Guangdong Province(10151503101000025, S2011010004511) 

主　　题：orthogonal complex wavelets approximation order symmetry scaling function 

摘      要：When approximation order is an odd positive integer, a simple method is given to construct compactly supported orthogonal symmetric complex scaling function with dilation factor 3. Two corresponding orthogonal wavelets, one is symmetric and the other is antisymmetric about origin, are constructed explicitly. Additionally, when approximation order is an even integer 2, we also give a method to construct compactly supported orthogonal symmetric complex that illustrate the corresponding results. wavelets. In the end, there are several examples