双模非高斯噪声背景下级联双稳态随机共振信号检测

Cascaded Bistable Stochastic Resonance Signal Detection under Dual-mode Non-Gaussian Noise Background

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。

In terms of the limitation of stochastic resonance（ SR） in a Gaussian noise under non-Gaussian noise background,and in order to analyze the effect of dual-mode non-Gaussian noise on the cascaded bi-stable stochastic resonance（ CBSR） with the validity of suppressing noise and verify the reliability of wave shaping of CBSR under the dual-mode non-Gaussian noise environment,weak signal detection of CBSR is proposed. In input signal detection,the probability density function is taken as a measure of stochastic reso-nance phenomenon,then,also the relationship between the non-Gaussian parameter,the correlation time and noise strength is analyzed when the stochastic resonance is kept in an optimal state. Finally,simulation confirms that the reliable region of noise strength and correction time of the second SR is not only expended with the decrease of non-Gaussian parameter, but also filter property and detection performance are im-proved obviously compared with the first level SR.