计算机工程与应用 ›› 2016, Vol. 52 ›› Issue (2): 151-155.

• 网络、通信与安全 • 上一篇    下一篇

Lyapunov指数在弱2FSK信号检测中的应用

李宏伟,张宏雁   

  1. 兰州交通大学 自动化与电气工程学院,兰州 730070
  • 出版日期:2016-01-15 发布日期:2016-01-28

Application of Lyapunov exponent in 2FSK signal chaotic oscillator detection

LI Hongwei, ZHANG Hongyan   

  1. School of Automation & Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China
  • Online:2016-01-15 Published:2016-01-28

摘要: 针对现有基于Duffing振子的2FSK信号检测方法在混沌临界阈值确定与相图判别两方面存在精度低、效率低的问题,提出了利用Lyapunov指数法确定阈值,并定量分析和判别检测系统输出状态的方法。在分析Duffing系统中Lyapunov指数算法的基础上,进行了仿真实验与分析,结果表明基于Lyapunov指数的2FSK信号混沌振子检测方法提高了阈值设置的精度,保证了2FSK信号检测的可靠性。

关键词: Duffing振子, Lyapunov指数, QR算法, 2FSK信号检测

Abstract: Concerning the low accuracy and efficiency of the judgment for threshold value and chaos system phase diagram states used in 2FSK signal detection based on Duffing oscillator, the paper adopts the Lyapunov exponents to set threshold value and quantitatively judge states of the Duffing chaos detection system. On the basis of the Lyapunov exponent algorithm analysis in Duffing system, the system simulation is carried out. The results show that the FSK signal detection method based on Lyapunov exponent enhances the threshold precision, guarantees the reliability of FSK signal detection.

Key words: Duffing oscillator, Lyapunov exponent, QR algorithm, 2FSK signal detection