Parametrizing compactly supported orthonormal wavelets by discrete moments

被引：0

作者：

Georg Regensburger

机构：

[1] Austrian Academy of Sciences,Johann Radon Institute for Computational and Applied Mathematics (RICAM)

来源：

Applicable Algebra in Engineering, Communication and Computing | 2007年 / 18卷

关键词：

Orthonormal wavelets; Parametrization; Filter coefficients; Moments; Gröbner bases;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We discuss parametrizations of filter coefficients of scaling functions and compactly supported orthonormal wavelets with several vanishing moments. We introduce the first discrete moments of the filter coefficients as parameters. The discrete moments can be expressed in terms of the continuous moments of the related scaling function. To solve the resulting polynomial equations we use symbolic computation and in particular Gröbner bases. The cases of four to ten filter coefficients are discussed and explicit parametrizations are given.

引用

页码：583 / 601

页数：18

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