✦ LIBER ✦

Rational Filter Wavelets

✍ Scribed by Kuang Zheng; Cui Minggen

Book ID: 102595766
Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 122 KB
Volume: 239
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1999.6550

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✦ Synopsis

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.

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