Wavelet-based in-band denoising technique for chaotic sequences

Citation
Wlb. Constantine et Pg. Reinhall, Wavelet-based in-band denoising technique for chaotic sequences, INT J B CH, 11(2), 2001, pp. 483-495
Citations number
20
Categorie Soggetti
Multidisciplinary
Journal title
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN journal
02181274 → ACNP
Volume
11
Issue
2
Year of publication
2001
Pages
483 - 495
Database
ISI
SICI code
0218-1274(200102)11:2<483:WIDTFC>2.0.ZU;2-F
Abstract
A novel wavelet-based denoising technique (MODRA) is introduced and shown t o be an effective means of denoising in-band contaminated chaotic sequences . MODRA is compared to existing WaveShrink methods and shown to be a more e ffective denoising technique based on a mean-squared-error statistic for si mulated contaminations. For each case, an estimate of the correlation dimen sion D-2 is calculated to quantify the results. As an integral part of MODR A, a best basis cost functional for the maximum overlap discrete wavelet pa cket transform using Shannon entropy is also introduced.