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运用统一色噪声近似理论和两态模型理论,研究了周期矩形信号和关联的乘性色噪声和加性白噪声驱动的非对称双稳系统的随机共振现象,得到了适合信号任意幅值的信噪比表达式.信噪比是乘性噪声强度、加性噪声强度、乘性噪声自关联时间、噪声耦合强度的非单调函数,所以该双稳系统中出现了随机共振.同时,调节加性噪声强度比调节乘性噪声强度更容易产生随机共振.势阱静态非对称性和噪声之间的耦合强度对信噪比的影响是不同的.
Using the uniform color noise approximation theory and the two-state model theory, we study the stochastic resonance phenomena of asymmetric bistable systems driven by periodic rectangular signals and associated multiplicative colored noise and additive white noise. Signal to noise ratio is a nonmonotonic function of the multiplicative noise intensity, additive noise intensity, multiplicative noise self-correlation time, and noise coupling strength, so stochastic resonance occurs in the bistable system. Meanwhile, Stochastic resonance is more likely to occur when the noise intensity is more than the power of the multiplicative noise, and the influence of the coupling strength between the static asymmetry of the well and the noise on the signal-to-noise ratio is different.