基于哈密顿量的Duffing振子微弱信号检测

针对目前基于Duffing振子微弱信号检测方法大多停留在对相图的定性分析上,提出了利用哈密顿量构造统计量的微弱信号检测的定量判别方法。哈密顿量能够实时地表征系统的动力学行为,有利于在短时间内进行判决。利用平均伪哈密顿量实时地刻画Duffing系统状态的变化情况,能够在低信噪比下实现微弱信号的快速检测。仿真实验验证了该方法的有效性。

Weak Signal Detection by Duffing Oscillator Based on Hamiltonian

This paper studies the weak signal detection by using Duffing oscillator. It is not only of the theoretical value but also of the engineering value to decide the existence of the weak signal in strong noise environment quickly and exactly. Considering that most of the existing weak signal detection methods based on Duffing oscillator are qualitative analysis, this paper uses Hamiltonian to construct statistic for quantitative decision. Hamiltonian can depict the dynamics in real time, and it can be used to do decision in short time situation. This paper utilizes mean pseudo Hamiltonian to depict the changing of the states of Duffing systems in real time. Our scheme can detect weak signal in lower signal-noise-ratio quickly. Simulation verifies the effectiveness of the proposed scheme.