基于混合混沌振子的微弱信号频率检测  

The Weak Signal Frequency Detection Based on Hybrid Chaotic Oscillator

作　　者：王思明[1] 李芸 李慷[2] 

机构地区：[1]兰州交通大学自动化与电气工程学院,兰州730000 [2]济南铁路局青岛动车段济南动车组运用所,济南250000

出　　处：《控制工程》2018年第2期273-278,共6页Control Engineering of China

摘　　要：介绍一种检测微弱周期信号任意位置频率的有效的方法,该方法结合Vander Pol-Duffing振子和Lorenz系统各自的优点来检测微弱周期信号任意位置的未知频率。当待测信号频率与周期策动力信号频率在相对频率比小于经验值0.03时,充分利用Vander-Duffing振子的高测量精度和低信噪比及计算方便等优点,对待测信号的频率进行检测;反之利用lorenz系统的高阶性来提高检测精度,从而实现对待测信号频率的检测。此外,通过最大Lyapunov指数法判断系统是否进入混沌状态,提高检测精度,同时利用比例微分来控制混沌,提高控制速度。通过实验证明,该方法是可行有效的,将此方法的实验结果与Duffing方程及lorenz系统各自的检测结果进行对比,可以看出这种方法的检测效果及检测精度都更好。It introduces a effective method of detecting weak periodic signal frequency at any position. The method combined VanderPol-Duffing oscillator and lorenz system of their respective advantages to detect the unknown frequency of weak periodic signal at any position.When the relative frequency ratio of the signal frequency and Cycle power signal frequency was less than the experience value 0.03,detcects the frequency of signal based on Vander - Duffing oscillator, making full use of the high measuring accuracy, low signal-to-noise ratio and convenient calculation of VanderPol-Duffing oscillator;instead it used the lorenz system to realize the frequency detection,using the high order to improve the detection accuracy.Experiments proved that this method was feasible and effective,the experimental results and the result of Duffing equation and the tetction result of lorenz system were compared,it can be seen that the detection effect and precision of this method are both better.

关 键 词：VanderPol-Duffing振子 LORENZ系统 最大Lyapunov指数法 比例微分控制 相对频率比 

分 类 号：TN911.7[电子电信—通信与信息系统]