一种用Duffing振子检测舰船辐射噪声线谱的新方法
摘要
用Duffing振子混沌检测系统对舰船辐射噪声的特征线谱进行检测.分析了Duffing振子混沌运动轨迹,通过对状态方程的改进,建立了Duffing振子混沌检测系统,使系统能够检测任意的弱周期信号.仿真实验证明了Duffing振子相轨迹变化对周期信号的敏感性,对白噪声及与参考信号频差较大的周期干扰信号具有一定的免疫力.引入Lyapunov指数作为混沌判据,解决了系统动力学行为相变在定量上的判定依据问题,并且能够较为准确地求出混沌临界状态的阈值.由此提出了一种基于Duffing振子的舰船辐射噪声特征线谱的检测方法,用此方法对3组实船数据进行分析,得到了各船型的特征线谱值.实验结果证明此方法具有高灵敏度、高分辨率的特点.
引文
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2Lourens J G.Classification of ships using underwater radiated noise.In:Proceedings of IEEE Communications and Signal Proc-essing.Pretoria:IEEE Press,1988.130—134
3Vaccaro R J.The past present and future of underwater acoustic signal processing.IEEE Signal Proc Mag,1998,15(4):21—51
4Mo X H,Tang G N.Study on phase synchronization of chaotic os-cillators with many rotational centers based on amplitude coupling.Acta Phys Sin,2004,53(7):2080—2083
5Gao X,Yu J B.Chaos in the fractional order periodically forced com-plex Duffing’s oscillators.Chaos Soliton Fract,2005,24:1097—1104
6李月,杨宝俊,袁野,等.混沌振子检测系统的弱有效地震信号检测能力.科学通报,2006,51(14):1710—1716
7李月,杨宝俊.检测强噪声背景下周期信号的混沌系统.科学通报,2003,48(1):19—20
8王树禾.微分方程模型与混沌.合肥:中国科学技术大学出版社,1992.465—500
9陈士华,陆君安.混沌动力学初步.武汉:武汉水利水电大学出版社,1998.226—233
10刘曾荣.混沌的微扰判据.上海:上海科技教育出版社,1994.36—48
11Ciraolo G,Chandre C,Lima R.Controlling chaotic transport in a Hamiltonian model of interest to magnetized plasmas.J Phys A Math Gen,2004,37:3589—3597
12Wang G Y,He S L.A quantitative study on detection and estima-tion of weak signals by using chaotic duffing oscillators.IEEE Trans Circuits Syst,2003,50(7):945—953
13Wolf A,Swift J B,Swinney H L,et al.Determining Lyapunov ex-ponents from a time series.Physica,1985,16:285—317
14Michael T R,James J C,Carlo J D.A practical method for calcu-lating largest Lyapunov exponents from small data sets.Physica D,1993,65(1-2):117—134
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