基于受控Lorenz系统的微弱脉冲信号检测
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国家自然科学基金(50875259)资助项目


Detection of weak pulse signals based on a controlled Lorenz system
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    摘要:

    利用Lorenz系统的参数非共振激励混沌抑制原理,实现强噪声背景下微弱周期脉冲信号的检测.将频率远大于系统特征频率的脉冲信号作为系统内置激励信号,根据平均法和重整化方法得到受控Lorenz系统与原系统的参数等效关系,并确定使系统由混沌状态突变为周期状态的检测参数临界值.仿真结果表明此系统可以达到较低的信噪比工作下限.此方法可根据理论分析结果预测参数临界值范围,检测方式简便易行,适于在目标探测和故障诊断领域推广应用.

    Abstract:

    Based on the principle about suppression of chaos with parametric nonresonant drive in the Lorenz system, the detection of weak periodic pulse signals in strong noise was realized. Periodic pulse signal, whose frequency is much more larger than the system characteristic frequency, was introduced as the system internal drive signal. According to the parametric equivalent relation obtained by the averaging method and renormalization method between the controlled Lorenz system and the original system, the critical value of detection parameter was determined. Simulations results show that rather low signaltonoise ratio in detection can be obtained by the proposed system. This method can predict the range of parameter threshold by theoretical analysis result. The detection scheme is simple and feasible, which is fit for generalization and application in object detection and fault diagnosis.

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王德石,谌龙,史跃东.基于受控Lorenz系统的微弱脉冲信号检测[J].动力学与控制学报,2010,8(1):48~52; Wang Deshi, Chen Long, Shi Yuedong. Detection of weak pulse signals based on a controlled Lorenz system[J]. Journal of Dynamics and Control,2010,8(1):48-52.

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  • 收稿日期:2009-11-06
  • 最后修改日期:2009-12-10
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