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基于Duffing振子的微弱信号混沌检测
引用本文:王俊国, 周建中, 付波, 彭兵,. 基于Duffing振子的微弱信号混沌检测[J]. 电子器件, 2007, 30(4): 1380-1383
作者姓名:王俊国   周建中   付波   彭兵  
作者单位:华中科技大学,水电与数字化工程学院,武汉,430074;华中科技大学,水电与数字化工程学院,武汉,430074;华中科技大学,水电与数字化工程学院,武汉,430074;华中科技大学,水电与数字化工程学院,武汉,430074
基金项目:国家自然科学基金 , 国家自然科学基金 , 中国博士后科学基金
摘    要:分析了Duffing振子的混沌特性,给出了确定系统混沌阈值的Melnikov方法.在阐述了基于相平面变化进行微弱信号检测原理后,在混沌检测中噪声对系统状态的影响也进行了研究.仿真结果表明,Duffing振子对与参考信号频率差较小的周期信号敏感,对白噪声和频差较大的周期干扰信号具有免疫力,该振子应用于实际微弱信号的检测具有可行性.

关 键 词:微弱信号检测  Duffing振子  信噪比  Melnikov函数  混沌阈值
文章编号:1005-9490(2007)04-1380-04
修稿时间:2006-09-17

Chaos-Based Weak Signal Detection Approach via Duffing Oscillator
WANG Jun-guo,ZHOU Jian-zhong,FU Bo,PENG Bing. Chaos-Based Weak Signal Detection Approach via Duffing Oscillator[J]. Journal of Electron Devices, 2007, 30(4): 1380-1383
Authors:WANG Jun-guo  ZHOU Jian-zhong  FU Bo  PENG Bing
Affiliation:College. of Hydropower and Information. Engineering. Huazhong University of Science. and Technology , Wuhan 430074, China
Abstract:The chaotic character of Duffing oscillator is analyzed,and the Melnikov method of determining chaotic threshold of Duffing oscillators is discussed.The principle of weak signal detection based on the change of phase trace is described,and the influence of noise to the system status in the chaos detection process is also studied.Simulation experiments show that the oscillator is sensitive to the small signal having the tiny frequency difference with the referential signal and immune against the random noise and interference signal having larger frequency difference with the referential signal.The application of the oscillator to weak signal detection is feasible.
Keywords:weak signal detection  Duffing oscillator  signal to noise ratio(SNR)  Melnikov's functions  chaotic threshold
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