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将α稳定噪声与单稳系统相结合,分别研究了不同α稳定噪声环境下的无时滞项和有时滞项的非对称单稳系统的随机共振。利用数值仿真说明了在无时滞项和有时滞项的非对称单稳系统中均存在随机共振现象,并讨论了α稳定噪声特征指数α(0<α≤2)、对称参数β(-1≤β≤1)、单稳系统参数a、乘性噪声放大系数D、非对称系数r及时滞量τ对系统信噪比增益的影响。
Combining the α-stable noise with the monostable system, the stochastic resonance of the unsymmetrical monostable system with and without time-delay under different α-stable noises is investigated. The stochastic resonance phenomenon in the unsymmetrical monostable system with and without time-lag terms is illustrated by numerical simulation, and the α-stable noise characteristic index α (0 <α≤2), the symmetrical parameter β (-1 ≤ β ≤ 1), the parameters of monostable system a, multiplicative noise amplification factor D, asymmetry factor r and time delay τ affect the signal to noise ratio gain of the system.