中国物理B ›› 2007, Vol. 16 ›› Issue (4): 1072-1076.doi: 10.1088/1009-1963/16/4/035

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Analysis of a kind of Duffing oscillator system used to detect weak signals

杨宝俊1, 李月2, 袁野2, 刘晓华2   

  1. (1)Department of Geophysics, Jilin University, Changchun 130026, China ; (2)Department of Information Engineering, Jilin University, Changchun 130012, China
  • 收稿日期:2006-06-13 修回日期:2006-10-27 出版日期:2007-04-20 发布日期:2007-04-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos~40374045 and 40574051), and by the Jilin Technology Development Plan (Grant No~20050526).

Analysis of a kind of Duffing oscillator system used to detect weak signals

Li Yue(李月)a), Yang Bao-Jun(杨宝俊)b)† , Yuan Ye(袁野)a), and Liu Xiao-Hua(刘晓华)a)   

  1. a Department of Information Engineering, Jilin University, Changchun 130012, China; b Department of Geophysics, Jilin University, Changchun 130026, China
  • Received:2006-06-13 Revised:2006-10-27 Online:2007-04-20 Published:2007-04-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos~40374045 and 40574051), and by the Jilin Technology Development Plan (Grant No~20050526).

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摘要： The stability of the periodic solution of the Duffing oscillator system in the periodic phase state is proved by using the Yoshizaw theorem, which establishes a theoretical basis for using this kind of chaotic oscillator system to detect weak signals. The restoring force term of the system affects the weak-signal detection ability of the system directly, the quantitative relationship between the coefficients of the linear and nonlinear items of the restoring force of the Duffing oscillator system and the SNR in the detection of weak signals is obtained through a large number of simulation experiments, then a new restoring force function with better detection results is established.

关键词: Duffing oscillator system, periodic phase state, restoring force function, SNR, weak signal detection

Abstract: The stability of the periodic solution of the Duffing oscillator system in the periodic phase state is proved by using the Yoshizaw theorem, which establishes a theoretical basis for using this kind of chaotic oscillator system to detect weak signals. The restoring force term of the system affects the weak-signal detection ability of the system directly, the quantitative relationship between the coefficients of the linear and nonlinear items of the restoring force of the Duffing oscillator system and the SNR in the detection of weak signals is obtained through a large number of simulation experiments, then a new restoring force function with better detection results is established.

Key words: Duffing oscillator system, periodic phase state, restoring force function, SNR, weak signal detection

中图分类号:  (Oscillators, pulse generators, and function generators)

  • 84.30.Ng
84.40.Ua (Telecommunications: signal transmission and processing; communication satellites) 05.45.-a (Nonlinear dynamics and chaos)