自适应随机共振弱信号识别

Adaptive stochastic resonance weak signal recognition

在研究随机共振时,人们普遍以信噪比作为衡量随机共振效果的指标,通常信噪比是在满足绝热近似理论条件下得到的近似解,当不满足该条件时,得出的结论可能是错误的。提出以双稳随机共振系统输出的信噪频谱主峰比、响应方差和系统势垒高度同时作为衡量随机共振效果的指标,能避免因计算信噪比时产生的误差。分析双稳系统的特性和响应,可以快速地得到相应衡量指标的准确值。筛选满足一定条件的衡量指标,可以得到共振效果良好的系统参数,证明了该方法的有效性和正确性。

In the study of stochastic resonance,it is generally taking signal-to-noise ratio as an indicator to measure the effect of stochastic resonance,the signal-to-noise ratio is usually to meet under the condition of adiabatic approximation theory to get the approximate solution, when does not meet the conditions, the conclusion would be a mistake. When does not meet the conditions,the conclusions may be wrong. In this paper,taking response spectrum main peak ratio of the signal and the noise of the bistable stochastic resonance system, response variance of signal and noise and the barrier height of the system as the index to measure the effect of stochastic resonance at the same time, can avoid the error produced by calculating the SNR. Through the analysis of the characteristics and the response of bistable system, can quickly get the accurate values of the corresponding indicators. Select the indexes which meet certain conditions can get a well system parameter. This paper proves the validity and the correctness of the method.