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

被引：115
作者：
Wang, GY [1 ]
He, SL
机构：
[1] Zhejiang Univ, State Key Lab Modern Opt Instrumentat, Ctr Opt & Electromagnet Res, Hangzhou 310027, Peoples R China
[2] Univ Texas, Hlth Sci Ctr, Sch Hlth Informat, Ctr Computat Biomed, Houston, TX 77054 USA
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2003年 / 50卷 / 07期
基金：
中国国家自然科学基金;
关键词：
intermittent route to chaos; laminar phase; Melnikov method; parameter estimation; signal processing; weak signal detection;
D O I：
10.1109/TCSI.2003.812606
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
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 sensitive dependence on the initial condition of the chaotic Doffing system. Estimation and detection of weak signals are carried out through obtaining the value and the probability distribution of the laminar length.
引用
收藏
页码：945 / 953
页数：9
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