Application of Lyapunov exponent in weak signal detection
Hao Feng · Journal of Hebei University of Engineering · 2010
Intuitionistic observations of phase and Melnikov have defaults in the judgment of system states in the weak signal detection based on the Duffing chaos oscillator.In order to improve the accuracy of the judgment of the system states and reliability of signal detection,this paper proposed the method that use Lyapunov exponent to quantitatively judge and to analyze the states of the detection system.The Lyapunov exponent spectrum of the Duffing system was computed on the basis of states of the system judging by Lyapunov exponent;the author also analyzed the relationship among the amplitude of the inner drive signal,Lyapunov exponent and the system states.The results showed that Lyapunov exponent can quantitatively and accurately judge the states of the detection system.