Title :
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
fDate :
7/1/2003 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2003.812606
