Construction of multiwavelets with high approximation order and symmetry

作     者：YANG ShouZhi LI YouFa 

作者机构：Department of MathematicsShantou UniversityShantou 515063China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2009年第52卷第8期

页      面：1607-1616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 Natural Science Foundation of Guangdong Province (Grant Nos. 05008289,032038) the Doctoral Foundation of Guangdong Province (Grant No. 04300917) 

主　　题：refinable function vectors multiwavelets approximation order symmetry 42C15 94A12 

摘      要：In this paper, based on existing symmetric multiwavelets, we give an explicit algorithm for constructing multiwavelets with high approximation order and symmetry. Concretely, suppose Φ(x):= (φ1(x), ..., φr(x)) T is a symmetric refinable function vectors with approximation order m. For an arbitrary nonnegative integer n, a new symmetric refinable function vector Φnew(x):= (φ 1 new (x), ..., φ r new (x)) T with approximation order m + n can be constructed through the algorithm mentioned above. Additionally, we reveal the relation between Φ(x) and Φnew(x). To embody our results, we construct a symmetric refinable function vector with approximation order 6 from Hermite cubics which provides approximation order 4.