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基于耦合Duffing振子和Van der pol振子系统的微弱信号检测研究
引用本文:王晓东,赵志宏.基于耦合Duffing振子和Van der pol振子系统的微弱信号检测研究[J].石家庄铁道学院学报(社会科学版),2016(4):60-65.
作者姓名:王晓东  赵志宏
作者单位:石家庄铁道大学 机械工程学院;河北省交通安全与控制重点实验室
基金项目:国家自然科学基金(11172182,11227201,11472179)
摘    要:传统的微弱信号检测在检测信噪比较低的信号时效果不理想,基于此提出了一种基于Duffing振子和Van der pol振子的耦合非线性系统,建立了非线性耦合模型,详述了耦合系数对耦合非线性系统的影响。采用Simulink数值仿真的方法,分析了Duffing振子和Van der pol振子耦合非线性系统的动力学行为,阐述了基于相平面变化进行微弱信号检测的工作原理。并且具体分析了耦合系统在色噪声背景下的微弱信号检测效果,取得了很好的效果。

关 键 词:混沌  非线性耦合系统  微弱信号检测  信噪比
收稿时间:2015/12/21 0:00:00

Weak Signal Detection Based on the System of a Van Der Pol Oscillator Coupled to a Duffing Oscillator
Authors:Wang Xiaodong and Zhao Zhihong
Institution:School of Mechanical Engineering, Shijiazhuang Tiedao University;Key Laboratory of Traffic Safety and Control in Hebei
Abstract:The effect of the traditional weak signal detection in low SNR is not perfect, accordingly we put forward a kind of the nonlinear system based on Duffing oscillator and Van der pol oscillator and establish the nonlinear coupling model, and expounded the influence of coupling coefficient for the coupling nonlinear system in detail. With the simulation method of Simulink, we analyzed the Duffing oscillator and Van der pol oscillator coupling nonlinear system dynamics behaviors, and expounded the working principle of weak signal detection for the changes based on the phase plane. Finally we carried out specific analysis of coupling system under the background of colored noise of weak signal detection, achieving good results.
Keywords:chaos  nonlinear coupling system  weak signal detection  signal to noise ratio
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