基于耦合混沌振子的微弱信号检测
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摘要
传统的微弱信号检测方法在信噪比较低时检测效果并不理想,利用混沌振子检测微弱信号具有灵敏度高、抗噪性强的特点,信噪比门限也比传统方法检测到的低得多,基于此对Duffing振子和Van der Pol-Duffing振子进行了耦合,建立了非线性微弱信号检测系统,并通过分岔图和二分法确定了临界点阈值,提高了阈值的求解速度和精度,最后分别对单微弱正弦信号和混合微弱正弦信号进行了检测,检测系统取得了较好的效果。
The traditional weak signal detection method is not ideal when the signal-to-noise ratio is low.Using the chaotic oscillator to detect the weak signal has the characteristics of high sensitivity and strong anti-noise,and the SNR threshold is lower than that of the traditional method.Based on this,the Duffing oscillator and the Van der Pol-Duffing oscillator are coupled to establish a nonlinear weak signal detection system.The critical point threshold is determined by bifurcation and dichotomy to improve the speed and accuracy of the threshold.The single weak sinusoidal signal and mixed weak sinusoidal signal were detected.The system obtained good results.
The traditional weak signal detection method is not ideal when the signal-to-noise ratio is low.Using the chaotic oscillator to detect the weak signal has the characteristics of high sensitivity and strong anti-noise,and the SNR threshold is lower than that of the traditional method.Based on this,the Duffing oscillator and the Van der Pol-Duffing oscillator are coupled to establish a nonlinear weak signal detection system.The critical point threshold is determined by bifurcation and dichotomy to improve the speed and accuracy of the threshold.The single weak sinusoidal signal and mixed weak sinusoidal signal were detected.The system obtained good results.
引文
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[4]聂春燕,石要武.基于混沌检测弱信号的混沌特性判别方法的研究[J].计量学报,2000,21(4):308-313.
[5]时培明,孙彦龙,韩东颖.基于双耦合混沌振子变尺度微弱信号检测方法研究[J].计量学报,2016,37(3):310-313.
[6]李月,杨宝俊,石要武.色噪声背景下微弱正弦信号的混沌检测[J].物理学报,2003,52(3):526-530.
[7]Birx D L,Pipenberg S J.Chaotic oscillators and complex mapping feed forward networks(CMFFNs)for signal detection in noisy environments[C]//International Joint Conference on Neural Networks.[S.l.]:[s.n.],1992:881-888.
[8]李月,石要武,马海涛,等.湮没在色噪声背景下微弱方波信号的混沌检测方法[J].电子学报,2004,32(1):87-90.
[9]Zhao Wenli,Zhao Jingxiao,Huang Zhenqiang,et al.Weak signal detection technology based on holmes duffing oscillator[J].Procedia Engineering,2012,29:1796-1802.
[10]Zhao Zhihong,Yang Shaopu.Application of van der Pol-Duffing oscillator in weak signal detection[J].Computers and Electrical Engineering,2015,41:1-8.
[11]姜万录,吴胜强,张建成.Duffing振子的两种检测微弱信号的方法及区别[J].燕山大学学报,2002,26(2):114-118.
[12]王晓东,杨绍普,赵志宏.基于改进型Duffing振子的微弱信号检测研究[J].动力学与控制学报,2016,14(3):283-288.
[13]谢涛,曹军威,廉小亲.混沌振子弱信号检测系统构成及响应速度研究[J].计算机工程与应用,2015,51(9):16-21.
[14]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,2016,29(4):60-65.
[15]Jing Zhujun,Yang Zhiyan,Jiang Tao.Complex dynamics in Duffing-Van der Pol equation[J].Chaos,Solitons&Fractals,2006,27(3):722-747.
[2]王晓东,杨绍普,赵志宏.Duffing振子和Van der Pol振子耦合的动力学行为分析[J].石家庄铁道大学学报:自然科学版,2015,28(4):53-57.
[3]梁倩.微弱信号的混沌检测方法[D].西安:西北工业大学,2007.
[4]聂春燕,石要武.基于混沌检测弱信号的混沌特性判别方法的研究[J].计量学报,2000,21(4):308-313.
[5]时培明,孙彦龙,韩东颖.基于双耦合混沌振子变尺度微弱信号检测方法研究[J].计量学报,2016,37(3):310-313.
[6]李月,杨宝俊,石要武.色噪声背景下微弱正弦信号的混沌检测[J].物理学报,2003,52(3):526-530.
[7]Birx D L,Pipenberg S J.Chaotic oscillators and complex mapping feed forward networks(CMFFNs)for signal detection in noisy environments[C]//International Joint Conference on Neural Networks.[S.l.]:[s.n.],1992:881-888.
[8]李月,石要武,马海涛,等.湮没在色噪声背景下微弱方波信号的混沌检测方法[J].电子学报,2004,32(1):87-90.
[9]Zhao Wenli,Zhao Jingxiao,Huang Zhenqiang,et al.Weak signal detection technology based on holmes duffing oscillator[J].Procedia Engineering,2012,29:1796-1802.
[10]Zhao Zhihong,Yang Shaopu.Application of van der Pol-Duffing oscillator in weak signal detection[J].Computers and Electrical Engineering,2015,41:1-8.
[11]姜万录,吴胜强,张建成.Duffing振子的两种检测微弱信号的方法及区别[J].燕山大学学报,2002,26(2):114-118.
[12]王晓东,杨绍普,赵志宏.基于改进型Duffing振子的微弱信号检测研究[J].动力学与控制学报,2016,14(3):283-288.
[13]谢涛,曹军威,廉小亲.混沌振子弱信号检测系统构成及响应速度研究[J].计算机工程与应用,2015,51(9):16-21.
[14]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,2016,29(4):60-65.
[15]Jing Zhujun,Yang Zhiyan,Jiang Tao.Complex dynamics in Duffing-Van der Pol equation[J].Chaos,Solitons&Fractals,2006,27(3):722-747.