Rational filter wavelets

被引：5

作者：

Zheng, K ^{[1
]}

Minggen, C ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1999年 / 239卷 / 02期

关键词：

wavelet; filter; rational filter; regularity; scaling function;

D O I：

10.1006/jmaa.1999.6550

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce two types of rational filters for the construction of wavelets. The rational filters are a natural development of the polynomial filters. We use rational filters to derive a large family of the wavelets which can include Daubechies wavelets and Battle-Lemarie wavelets. Especially the II-type rational filter wavelets among the family have linear phases. Furthermore, we analyze the regularity of the rational filter wavelets and estimate their regularity indices. Some examples are also given. (C) 1999 Academic Press.

引用

页码：227 / 244

页数：18

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