Research On Weak Signal Detection Method Based On Vibrational Resonance

In recent years,using the principle of vibrational resonance(VR)in weak signal detection has been attracted much attention,and which is widely used in many fields,such as communication technology,acoustics and neuroscience.However,in engineering practice,the detection method based on VR still has some problems to solve.Therefore,in the paper the bistable VR system and multistable VR system are taked as the system model to investigate the bistable VR phenomenon excited by multiple frequency weak signals and the multistable VR phenomenon excited by multiple frequency weak signals under complex noise.Matlab is the simulation platform,and the mean of signal-to-noise ratio gain(MSNRI)is taken as the measurement indicator.The main contents include:(1)Firstly,the related theory of Gauss distribution and ? stable distribution are introduced.The bistable VR system model and multistable VR system model are expounded carefully,and the relationship of high frequency drive signal parameters B?? and system parameters a?b with the bistable stable effective potential function and the relationship of high frequency drive signal parameters B?? with the multistable stable effective potential function are discussed.(2)Secondly,the Gaussian noise and the bistable VR system are combined to investigate the phenomenon of bistable VR excited by multiple(high-and low-frequency)weak signals.The relationship of the high frequency drive signal parameters B?? and the bistable system parameters a?b with the system resonance output effect is explored.Moreover,the action laws of B,?,a and b on the resonance output effect of bistable system are revealed.And then the ?stable noise and the bistable VR system are combined to investigate the phenomenon of bistable VR excited by multiple(high-and low-frequency)weak signals.The relationship of ???,D,B??,a?b with the system resonance output effect is explored.Moreover,the action laws of???,D,B?Q,a and b on the resonance output effect of bistable system are revealed.(3)Thirdly,the Gaussian noise and the multistable VR system are combined to investigate the phenomenon of multistable VR excited by multiple(high-and low-frequency)weak signals.The relationship of B?? with the system resonance output effect is explored.Moreover,the action laws of B,? on the resonance output effect of multistable system are revealed.And then the ? stable noise and the multistable VR system are combined to investigate the phenomenon of multistable VR excited by multiple(high-and low-frequency)weak signals.The relationship of ???,B?? with the system resonance output effect is explored.Moreover,the action laws of ???,D,B and ? on the resonance output effect of multistable system are revealed.The above conclusions show that VR can overcome the shortcoming that noise intensity cannot be arbitrary controlled in industrial sites,and provide a new method of weak signal detection,which contribute to realizing the adaptive parameter adjustment in VR system(including bistable VR system and multistable VR system),and lay a foundation for a practical engineering application of weak signal detection based on VR.