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)
a Department of Information Engineering, Jilin University, Changchun 130012, China; b Department of Geophysics, Jilin University, Changchun 130026, China
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.
Received: 13 June 2006
Revised: 27 October 2006
Accepted manuscript online:
PACS:
84.30.Ng
(Oscillators, pulse generators, and function generators)
Fund: 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).
Cite this article:
Li Yue(李月), Yang Bao-Jun(杨宝俊), Yuan Ye(袁野), and Liu Xiao-Hua(刘晓华) Analysis of a kind of Duffing oscillator system used to detect weak signals 2007 Chinese Physics 16 1072
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