Study On Signal Processing Based On Bistable Response Controlled By DC Bias

The main traditional methods for detecting signals are spectral analysis and averaging, but both the two methods have certain shortcomings and deficiencies: they can not be used to detect weak signals. Different from the traditional linear method，Stochastic resonance(SR) can not only wipe off noise but can also turn Parts of noise energy into signal energy to increase the signal-to-noise rate(SNR).In the past two decades, stochastic resonance theory and research continues to develop, and it has an outstanding performance in the areas of weak signal detection.People began to focus on the control of stochastic resonance in recent years. The existing methods of controlling stochastic resonance are mainly based on stochastic resonance control. In this paper, based on the asymmetric bistable system with dc bias for the model, we studied its application in stochastic resonance control.This paper study includes:1. Research on the stochastic resonance of bistable system from two aspects of theoretical deduction and experimental simulation, we discussed the influence of stochastic resonance due to the change of the system parameter. When the signal amplitude, intensity of noise and signal frequency does not meet the small parameter condition, we studied the changes of the system output.2. Research on the stochastic resonance of asymmetric bistable system from two aspects of theoretical deduction and experimental simulation, we get the expression of the signal-to-noise ratio in the adiabatic limit. From the curve of the signal-to-noise ratio, the increase of the asymmetry reduces the signal-to-noise ratio at the output of the system. Next we found that the increase of the asymmetry reduces the transition probability of the particle from the experiment simulation.3. The phenomenon of SR in an asymmetric bistable system driven by multiplicative colored noise and additive white noise and a periodic rectangular signal are studied. The periodic modulated signal is replaced by the periodic rectangular signal, and we also get the expression of the signal-to-noise ratio in the adiabatic limit. Research on the curve of the signal-to-noise ratio and the additive noise intensity, the stochastic resonance phenomenon will exist regardless of the change of other parameters. The increase of the asymmetry reduces the signal-to-noise ratio at the output of the system.