STABILITY AND LINEAR INDEPENDENCE ASSOCIATED WITH WAVELET DECOMPOSITIONS

被引：72

作者：

JIA, RQ

WANG, JZ

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 117卷 / 04期

关键词：

WAVELETS; WAVELET DECOMPOSITIONS; REFINEMENT EQUATIONS; STABILITY; LINEAR INDEPENDENCE; ORTHOGONALITY;

D O I：

10.2307/2159543

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Wavelet decompositions are based on basis functions satisfying refinement equations. The stability, linear independence, and orthogonality of the integer translates of basis functions play an essential role in the study of wavelets. In this paper we characterize these properties in terms of the mask sequence in the refinement equation that the basis function satisfies.

引用

页码：1115 / 1124

页数：10

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