Orthogonal multiwavelets of multiplicity four

被引：4

作者：

Hong, D ^{[1
]}

Wu, AD

机构：

[1] E Tennessee State Univ, Dept Math, Johnson City, TN 37614 USA

[2] Univ Petr, Dept Math, Shandong 257062, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2000年 / 40卷 / 10-11期

关键词：

wavelets; multiwavelets; approximation order; refinement equations; subdivision;

D O I：

10.1016/S0898-1221(00)00229-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider solutions of a system of refinement equations with a 4 x 1 function vector and three nonzero 4 x 4 coefficient matrices. We give explicit expressions of coefficient matrices such that the refinement function vector and the corresponding wavelet vector have properties of short support [0, 2], symmetry or antisymmetry, and orthogonality. The properties of convergence of the subdivision scheme, approximation order, and smoothness of the refinement functions are also discussed. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：1153 / 1169

页数：17

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