改进的Duffing振子逆相变弱信号检测
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1.辽宁工程技术大学电子与信息工程学院,葫芦岛,125105;2.辽宁省露天矿山装备工程研究技术中心,阜新,123009;3.辽宁工程技术大学研究生院,葫芦岛,125105;4.香港中文大学(深圳),深圳,518172

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Improved Weak Signal Detection for Inverse Phase Transition of Duffing Oscillator
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1.School of Electronic and Information Engineering, Liaoning Technical University, Huludao, 125105, China;2.Liaoning Open-pit Mining Equipment Engineering Technology Research Center, Fuxin, 123009, China;3.Graduate School, Liaoning Technical University, Huludao, 125105, China;4.The Chinese University of Hong Kong(Shenzhen), Shenzhen, 518172, China

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    摘要:

    针对传统Duffing振子检测系统在正向相变时容易受过渡带影响并且噪声对检测系统也会产生影响的问题,提出融合高阶累积量和Duffing振子的逆相变混沌检测方法。该方法首先利用Lyapunov指数方法计算检测系统的临界阈值 γd,令检测系统的周期策动力为 γd,其次对待检信号通过计算其高阶累积量进行预处理,能够降低噪声功率,并得到谐波信号的幅度变化规律;然后,将经过预处理的待检信号输入至检测系统,利用Lyapunov指数得到在逆相变发生时对应的周期策动力幅值;最后,根据逆相变发生前后所对应的周期策动力幅值之差,计算出待检信号的幅值及检测信噪比。仿真实验结果表明所提方法可用于-50.97 dB信噪比下微弱正弦信号的检测,相比较传统的Duffing振子检测系统具有较好的检测效果。

    Abstract:

    In order to solve the problems that the traditional chaotic detection system is easily affected by the transition zone and the detection system is affected by the noise, an inverse phase transition chaos detection method based on high-order cumulants and Duffing oscillator is proposed. Firstly, the Lyapunov index method is used to calculate the critical threshold γd of the detection system, so that the the periodic driving force of the detection system is equal to γd. Secondly, the signal to be detected is preprocessed by calculating its high-order cumulant, which can reduce the noise power and obtain the amplitude variation of the harmonic signal. Then, the processed signal to be detected is input to the detection system, and the Lyapunov index is used to get the periodic driving force amplitudes corresponding to the reverse phase change. Finally, the amplitude of the signal to be detected and the detected signal-to-noise ratio are calculated according to the difference of the amplitude of the periodic driving force before and after the inverse phase transition. Simulation results show that the proposed method can be used for the detection of weak sinusoidal signals with a signal-to-noise ratio of -50.97 dB, which has a better detection effect than the traditional Duffing oscillator detection system.

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冀常鹏,许素娜,冀雯靖.改进的Duffing振子逆相变弱信号检测[J].数据采集与处理,2019,34(2):223-233

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  • 收稿日期:2018-08-21
  • 最后修改日期:2018-12-29
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  • 在线发布日期: 2019-04-22