基于参数可调随机共振的微弱单方波脉冲检测方法

Detection of Weak Quare Wave Signal Using Parameter Tuning Stochastic Resonance

利用langevin方程构成的双稳态随机共振系统,本文提出了一种非线性检测器。利用Fokker-Planck方程的稳态概率密度函数,推导了该非线性检测器的检测概率、虚警概率和偏移系数,分析单方波脉冲在该检测器下的性能。实验结果表明,在低信噪比(-10dB)的情况下,随机共振检测器优于匹配滤波检测方法。

A novel nonlinear detector is proposed using a bistable stochastic resonance system which is constructed by langevin equation. The performance of the detector is analyzed , and the probability of detection（PD）, the probability of false alarm（PFA） are deduced by the probability density function （p. d. f） of Fokker-Planck equation. We compared the performance of the proposed detector with that of matched filter detector（ MFD）, and showed the superiority of the proposed detector over MFD under low signal to noise ratio（SNR） （below-10dB） .