Uniform analytic construction of wavelet analysis filters based on sine and cosine trigonometric functions

Authors
Li, JP Tang, YY Yan, ZH Zhang, WP
Citation
Jp. Li et al., Uniform analytic construction of wavelet analysis filters based on sine and cosine trigonometric functions, APP MATH ME, 22(5), 2001, pp. 569-585
Citations number
9
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
22
Issue
5
Year of publication
2001
Pages
569 - 585
Database
ISI
SICI code
0253-4827(200105)22:5<569:UACOWA>2.0.ZU;2-0
Abstract
Based on sine and cosine functions, the compactly supported orthogonal wave let filter coefficients with arbitrary length are constructed for the first time. When N = 2(k-1) and N = 2k, the unified analytic constructions of or thogonal wavelet filters are put forward, respectively. The famous Daubechi es filter and some other well-known wavelet filters are tested by the propo sed novel method which is very useful for wavelet theory research and many application areas such as pattern recognition.