Stochastic resonance in a high-dimensional space coupled bistable system and its application

Abstract

As a noise-enhanced signal processing method, stochastic resonance has been widely applied in the field of condition detection and fault diagnosis. To further consummate the application of stochastic resonance in practical engineering, a high-dimensional space model based on coupled bistable stochastic resonance system is proposed in this paper. Firstly, taking the three-dimensional space coupled bistable stochastic resonance system as the research object, the influence of system parameters on the output signal-to-noise ratio is analyzed. Then, the output signal-to-noise ratio of the high-dimensional space coupled bistable stochastic resonance system are analyzed in different dimensions. It is found that the output signals of these coupling ends with the same system parameters are identical, and there is always an optimal dimension for a given input so that the output signal-to-noise ratio reaches the maximum. Moreover, simulation results indicate that the proposed model has good feature enhancement ability and anti-noise robustness. Finally, the proposed approach is employed to diagnose fault signals of two different bearing types. The optimal output of the system is determined by establishing the best dimension value. The bigger output signal-to-noise ratio demonstrates that the proposed method outperforms the one-dimensional bistable stochastic resonance and two-dimensional coupled bistable stochastic resonance in weak fault signal detection, which improves the engineering practicability of stochastic resonance theory.