Stochastic Resonance Detection Method Research Of Weak Signal With ? Stable Noise

The traditional methods of weak signal detection mostly are achieved by suppressing noise,while the abnormal noise enhancement mechanism of stochastic resonance has opened up a new idea for weak signal detection under strong noise background.The a stable distribution is a more generalized Gaussian distribution,the noise it described can very well consistent with the actual data.Therefore,in this paper,the a stable noise and the stochastic resonance system are combined to investigate the stochastic resonance phenomenon excited by single or multiple high-and low-frequency weak signal with a stable noise.Matlab is the simulation platform,and the signal-to-noise ratio gain or the mean of signal-to-noise ratio gain is the measurement indicator.In this paper,the ? stable noise and the bistable stochastic resonance system are combined firstly to investigate the phenomenon of stochastic resonance with a stable noise.The relationship of the distribution parameters ??? of ? stable noise,the bistable system parameters a?b with the system resonance output effect is explored.Moreover,the action laws of ?,?,a and b on the resonance output effect of bistable system are revealed.The results show that under the different distributions of a stable noise,the weak signal detection can be realized by adjusting the parameter a or b to induce stochastic resonance within a certain range.The intervals of a and b which can induce stochastic resonance are multiple,and don't change with ?(or ?).The different ?(or ?)can regularly affect the system resonance output effect.Moreover,when ?(or ?)is given different values,the evolution laws in bistable stochastic resonance system excited by high-and low-frequency weak signal are same.The conclusions which are drawn in the study of single and multiple frequency bistable stochastic resonance with a stable noise are same.Subsequently,in this paper,the a stable noise and the monostable stochastic resonance system are combined to investigate the phenomenon of stochastic resonance with ? stable noise in the same way.The results show that under the different distributions of ? stable noise,the weak signal detection can be realized by adjusting the parameter a or the amplification factor D of multiplicative a stable noise to induce stochastic resonance within a certain range.For a and D,respectively,there is an optimal value which can make the system produce the best stochastic resonance effect.The different ?(or?)can regularly affect the system resonance output effect.Moreover,when ?(or ?)is given different values,the evolution laws in monostable stochastic resonance system excited by high-and low-frequency weak signal are same.The conclusions which are drawn in the study of single and multiple frequency monostable stochastic resonance with a stable noise are same.The results contribute to realizing the adaptive parameter adjustment in stochastic resonance system with a stable noise,and lay a foundation for a practical engineering application of weak signal detection based on stochastic resonance.Finally,the parameter compensation stochastic resonance is studied in this paper through Multisim simulation experiments and analog circuit experiments.The conclusions can provide the basis for the selection of compensation parameter K when using parameter compensation method to achieve high-frequency stochastic resonance detection of weak signal.