ZHANG Hongyan， WANG Ruifeng
（School of Automation and Electrical Engineering， Lanzhou Jiaotong University， Lanzhou 730070, China）
Abstract： To improve the detection accuracy of the balise uplink signal transmitted in a strong noise environment, we use chaotic oscillator to detect the balise uplink signal based on the characteristics of the chaotic system that is sensitive to initial conditions and immune to noise. Combining with the principle of Duffing oscillator system used in weak signal detection and uplink signal feature, the methods and steps of using Duffing oscillator to detect the balise signal are presented. Furthermore, the Lyapunov exponent algorithm is used to calculate the critical threshold of the Duffing oscillator detection system. Thus, the output states of the system can be quantitatively judged to achieve demodulation of the balise signal. The simulation results show that the chaotic oscillator detection method for balise signal based on Lyapunov exponent algorithm not only improves the accuracy and efficiency of threshold setting, but also ensures the reliability of balise signal detection.
Key words： Duffing oscillator； Lyapunov exponent； Jacobian algorithm； small data sets； balise uplink signal
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Lyapunov指数算法在应答器信号混沌振子检测中的应用
张宏雁， 王瑞峰
（兰州交通大学 自动化与电气工程学院， 甘肃 兰州 730070）
摘要： 针对为提高在强噪声环境下应答器上行链路传输信号的检测精度， 利用混沌系统对初始条件敏感以及对噪声免疫的特性， 将混沌振子应用到应答器上行链路信号检测解调中。 结合微弱信号Duffing振子检测原理和应答器上行链路信号特征， 给出了使用Duffing振子检测应答器信号的方法和步骤， 并使用Lyapunov指数算法计算Duffing振子检测系统的临界阈值， 定量判断系统的输出状态， 实现应答器信号的解调。 在理论分析的基础上， 进行了实验仿真验证。 仿真结果表明， 基于Lyapunov指数算法的应答器信号混沌振子检测方法提高了阈值设置的准确性和效率， 并确保了应答器信号检测的可靠性。
关键词： Duffing振子； Lyapunov指数； Jacobian法； 小数据量法； 应答器上行链路信号
引用格式：ZHANG Hongyan， WANG Ruifeng. Application of Lyapunov exponent algorithm in balise signal chaotic oscillator detection. Journal of Measurement Science and Instrumentation， 2021， 12（3）： 281-286. DOI： 10．3969／j．issn．1674-8042．2021．03．005
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