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扩展型Vanderpol振子的微弱信号检测的研究

Research on weak signal detection of extended vanderpol oscillator
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摘要 微弱信号检测系统中,信号被强噪音湮没的情况及其普遍。针对这一问题提出了基于扩展型Vanderpol振子下微弱信号的定量检测方法。主要研究扩展型的Vanderpol振子的稳定性,通过李雅普诺夫指数判别系统在临界状态和大周期状态的位置,从而达到检测待测信号的提取并检测待测信号的相位和幅度;通过Melnikov方法分析,对电气设备索道的谐波信号检测,估算该微弱待测信号的相位、频率。仿真结果表明,改进的Vanderpol振子系统信噪比显著提高了70%,改进算法实现微弱信号的高精度和高灵敏的幅度和相位检测,具有较高的免疫能力和强抗噪比。 Signal annihilation by strong noise in weak signal detection system and its prevalence. In order to solve this problem,a quantitative detection method for the weak signal of the extended vanderpol oscillator is proposed. The stability of the extended vanderpol oscillator is studied. By using Lyapunov exponent to judge the position of the system in the critical state and the large period state,the test of the extraction of the signal and the detection of the phase and amplitude of the signal are achieved. Based on the analysis of melnikov method,the phase and frequency of the weak signal are estimated by detecting the harmonic signal of the cableway of electrical equipment. The simulation results show that the improved signal-to-noise ratio ( SNR) of the vanderpol vibration system is improved significantly. The improved algorithm achieves high accuracy and high sensitive amplitude and phase detection of weak signals,it has a high immune ability and a strong anti-noise ratio.
作者 洪锋 刘茹茹 鲁昌华 蒋薇薇 鞠薇 Hong Feng;Liu Ruru1 Lu Changhua;Jiang Weiwei;Ju Wei(College of Electrical and Mechanical Engineering,Chizhou University,Chizhou 247000,China;School of Computer Science and Information Engineering,Hefei University of Technology,Hefei 236000,China)
出处 《电子测量与仪器学报》 CSCD 北大核心 2018年第12期157-162,共6页 Journal of Electronic Measurement and Instrumentation
基金 国家重大仪器开发专项(2013YQ220643) 安徽省高校优秀青年人才(gxyq2018110) 池州学院自然重点(2014ZRCZ004,2015ZRCZ004)资助项目.
关键词 Vanderpol振子 李雅普诺夫指数 微弱信号检测 混沌系统 Vanderpol oscillator Lyapunov exponent weak signal detection chaotic system
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