| 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 |
| 投稿时间：2015-12-21 |
| 中文关键词:混沌 非线性耦合系统 微弱信号检测 信噪比 |
| 英文关键词:chaos nonlinear coupling system weak signal detection signal to noise ratio |
| 基金项目:国家自然科学基金(11172182,11227201,11472179) |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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. |
| 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].石家庄铁道大学学报：自然科学版,2016,(4):60-65. |
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