Application of Lyapunov exponent in 2FSK signal chaotic oscillator detection

Abstract

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

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

LI Hongwei, ZHANG Hongyan. Application of Lyapunov exponent in 2FSK signal chaotic oscillator detection[J]. Computer Engineering and Applications, 2016, 52(2): 151-155.

李宏伟，张宏雁. Lyapunov指数在弱2FSK信号检测中的应用[J]. 计算机工程与应用, 2016, 52(2): 151-155.

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[2]	ZHANG Xiujun1, WU Zhiqiang1, FANG Zheng2. Approach to construction of hyperchaotic system [J]. Computer Engineering and Applications, 2014, 50(2): 92-98.
[3]	LI Na. Properties of fractional nonlinear Duffing oscillator equation [J]. Computer Engineering and Applications, 2014, 50(18): 75-78.
[4]	HU Yanyan, ZENG Fangling, ZHANG Shigui. New method of complex-frequency signal detection based on double oscillator difference system [J]. Computer Engineering and Applications, 2014, 50(16): 206-210.
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[10]	LI Yong-jie，FU Hong-liang，YANG Tie-jun. Novel parallel interference cancellation QR factorization detection algorithm [J]. Computer Engineering and Applications, 2010, 46(18): 135-137.
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[13]	WANG Qing,CHEN Ting,LI Feng. Chaos-like characteristics of irrational number series and its application to image encryption [J]. Computer Engineering and Applications, 2009, 45(18): 85-88.
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Application of Lyapunov exponent in 2FSK signal chaotic oscillator detection

Lyapunov指数在弱2FSK信号检测中的应用

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