Chaos-Based Weak Signal Detection Approach via Duffing Oscillator
Peng Bing
Abstract
Peng Bing
Abstract
The chaotic character of Duffing oscillator is analyzed,and the Melnikov method of determining chaotic threshold of Duffing oscillators is discussed.The principle of weak signal detection based on the change of phase trace is described,and the influence of noise to the system status in the chaos detection process is also studied.Simulation experiments show that the oscillator is sensitive to the small signal having the tiny frequency difference with the referential signal and immune against the random noise and interference signal having larger frequency difference with the referential signal.The application of the oscillator to weak signal detection is feasible.
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The chaotic character of Duffing oscillator is analyzed,and the Melnikov method of determining chaotic threshold of Duffing oscillators is discussed.The principle of weak signal detection based on the change of phase trace is described,and the influence of noise to the system status in the chaos detection process is also studied.Simulation experiments show that the oscillator is sensitive to the small signal having the tiny frequency difference with the referential signal and immune against the random noise and interference signal having larger frequency difference with the referential signal.The application of the oscillator to weak signal detection is feasible.
Key concepts: Duffing equation, SIGNAL (programming language), Chaotic, Stochastic resonance, Noise (video), Control theory (sociology), Signal transfer function, Detection theory