信号调制下分段噪声驱动的线性系统的随机共振

Stochastic resonance under modulated noise in linear systems driven by dichotomous noise

研究了由乘性和加性噪声的线性组合作为调制噪声的线性系统的随机共振.运用平均法,得到了一、二阶矩和信噪比的精确表达式.通过分析信噪比,在此系统中发现了真实的随机共振、传统的随机共振和广义随机共振.发现在真实的随机共振中,适当地调整参数,共振和抑制会同时出现.此外,还发现对不同的互关联强度,分别选用乘性和加性噪声作为调制噪声能够提高信噪比.

Stochastic resonance （SR） is studied in linear systems under modulated noise when the modulated noise is a linear combination of multiplicative and additive noise. The exact expression of the first two moments and signal-to-noise ratio（SNR） are obtained. We find the bona fide SR, conventional SR and SR in the broad sense. Both resonance and suppression appear in the bona fide SR. Moreover, choosing mutilplicative and additive noise as modulated noise can enhance SNR for different degrees of cross correlation.