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针对随机共振(SR)以高斯噪声为研究背景的局限性,为了分析非高斯噪声对级联随机共振的影响且验证在双模非高斯噪声中级联随机共振的降噪及波形整形特性的可靠性,提出了级联双稳随机共振系统在双模非高斯情况下的微弱信号检测方法。输入信号在进行信号检测过程中,首先把概率密度函数作为随机共振现象的衡量指标,然后当系统处于最佳随机共振状态时,分析了非高斯参数、相关时间及噪声强度之间的关系。最后通过仿真证实,与一级SR相比,二级SR的噪声强度和相关时间的可用范围随着非高斯参数的减少不仅会得到增大,而且滤波特性、信号检测效果得到明显提高。
Aiming at the limitation of random noise (SR) with Gaussian noise, in order to analyze the influence of non-Gaussian noise on the stochastic resonance of cascade and verify the reliability of the noise reduction and waveform shaping of cascaded stochastic resonance in bimodulus non-Gaussian noise In this paper, we propose a weak signal detection method for cascaded bistable stochastic resonance system under bimodal non-Gaussian case. In the process of signal detection, the probability density function is taken as the measure of the random resonance phenomenon. Then when the system is in the best state of stochastic resonance, the relationship between non-Gaussian parameters, correlation time and noise intensity is analyzed. Finally, the simulation results show that, compared with the first-order SR, the available range of the second-order SR noise intensity and the related time not only increases with the decrease of non-Gaussian parameters, but also the filtering characteristics and the signal detection effect are obviously improved.