一种非线性振子的电路模拟及其在微弱信号提取中的应用

针对数值方法求解Duffmg振子随机共振行为存在的不足，提出釆用电路模拟Duffing振子的方法，以满足实时性需求，并将该方法应用于微弱信号的提取。引入了ー种变量替换，通过这种变换可以处理频率超出随机共振理论要求范围的信号，以满足工程实际应用。实验表明：该方法适合于低信噪比条件下微弱正弦信号的检测，特別是能够从强噪声背景中提取出微弱周期脉冲信号，并且可以保持信号的相位基本不变，其效果优于常规线性滤波方法。

Circuit Simulation of a Nonlinear Resonator with Its Application in Weak Signal Extraction

Due to existing some shortcomings of using Duffing resonator in weak signal extraction by means of numerical method, a scheme of circuit simulating of the resonator instead of numerical method was proposed to fulfill the real time requirement. A kind of variable substitution in processing high frequency signals was suggested to improve the feasibility of the resonator in practical use. The experimental results show that the scheme is suitable for weak sinusoidal signal detecting and the extraction of weak periodic pulse trains from strong noise background using the nonlinear resonator which is better than traditional linear filtering method.