基于耦合Duffing振子和Van der pol振子系统的微弱信号检测研究  

Weak Signal Detection Based on the System of a Van Der Pol Oscillator Coupled to a Duffing Oscillator

作　　者：王晓东[1,2] 赵志宏 

机构地区：[1]石家庄铁道大学机械工程学院,河北石家庄050043 [2]河北省交通安全与控制重点实验室,河北石家庄050043

出　　处：《石家庄铁道大学学报（自然科学版）》2016年第4期60-65,共6页Journal of Shijiazhuang Tiedao University(Natural Science Edition)

基　　金：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。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 Dulling oscillator and Van der pol oscillator and establish the nonlinear coupling model, and expounded the influence of coupling coefficient for the cou- pling nonlinear system in detail. With the simulation method of Simulink, we analyzed the Duffing oscil- lator and Van der pol oscillator coupling nonlinear system dynamics behaviors, and expounded the work- ing 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, a chieving good results.

关 键 词：混沌 非线性耦合系统 微弱信号检测 信噪比 

分 类 号：TH165.3[机械工程—机械制造及自动化]