A quantitative study on detection and estimation of weak signals by using chaotic Duffing oscillators

Author

Wang, Guanyu ; He, Sailing

Author_Institution

Center for Opt. & Electromagn. Res., Zhejiang Univ., Hangzhou, China

Volume

50

Issue

7

fYear

2003

fDate

7/1/2003 12:00:00 AM

Firstpage

945

Lastpage

953

Abstract

A new signal detection and estimation method based on the intermittency transition between order and chaos is developed. The corresponding bifurcation process for the Duffing oscillator is discussed in detail, and the length of the laminar phase of the bifurcation is exploited to describe quantitatively the property of sensitivity dependence on the initial condition of the chaotic Duffing system. Estimation and detection of weak signals are carried out through obtaining the value and the probability distribution of the laminar length.

Keywords

bifurcation; chaos; maximum likelihood estimation; oscillators; parameter estimation; probability; signal detection; bifurcation process; chaotic Duffing oscillators; initial condition; intermittency transition; intermittent route to chaos; laminar length; laminar phase; probability distribution; sensitivity dependence; signal detection method; signal estimation method; weak signals; Bifurcation; Biomedical optical imaging; Chaos; Chaotic communication; Helium; Laboratories; Optical sensors; Oscillators; Signal detection; Signal processing;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/TCSI.2003.812606

Filename

1211096