Stochastic resonance based on asymmetric bistable systems and its applications

Abstract:

The signal-to-noise ratio and mean first passage time of asymmetric bistable stochastic resonance (ABSR) system driven by Gaussian colored noise are studied. Based on the unified color noise approximation and two-state model theory, the formulas of mean first passage time and signal-to-noise ratio are derived. The influence of various parameters on signal-to-noise ratio and mean first passage time are discussed, and the parameters are optimized. It is found that stochastic resonance is a non-monotonic function of noise intensity and potential well asymmetry, and the same parameter has different effects on the mean first passage time in two different directions. Simulation and experiment prove that ABSR system has obvious advantages in bearing fault diagnosis.