Stochastic resonance of asymmetric bistable system driven by binary signals under α stable noise

In this paper the asymmetric bistable system excited by binary aperiodic signals is taken as a model and the average symbol error rate is regarded as an index to study stochastic resonance (SR) phenomenon. Firstly, the SR driven by binary signals under α stable noise is studied. Secondly, the interplay between the α stable noise parameters α, β, and the system parameters a, b, r on the resonant output effect is explored. The results show that weak binary signals detection can be realized by adjusting the system parameters a, b and r. The optimal values solved by these parameters can make the system produce the best SR effect. For a certain a or b, there is an optimal value under different α or β. For the parameter r, there is an optimal value under different α, and there are several optimal values under different β. Moreover, when α or β is given different values, the evolution laws in asymmetric bistable SR system excited by binary signals are same. The results lay a foundation for realizing the adaptive parameter adjustment in asymmetric bistable SR system with α stable noise.