Model design and realization about stochastic resonance of the under-damped second-order linear system represses noise
Senbai Dalabaev · Journal of Engineering Design · 2010
With the classic mechanics model,quality-damping-spring coiling the under-damped second-order linear system for research object,when the damping coefficient and intrinsic frequency of the system were subject to multiplicative Gaussian white noise,this article studied detailedly that stochastic resonance of the under-damped second-order linear system were used to resolve multiplicative noise.Theoretical analysis showed that this system produced the phenomenon of stochastic resonance.The average output amplitude gain(OAG) of this system presented not-monotonous variety.Under certain conditions,OAG was greater than that of second-order linear system with no noise,and adjusted the appropriate system parameters and noise intensity could improve the output amplitude gain.Therefore,the article used visual simulation software SIMULINK to establish a linear system simulation map of stochastic resonance and simulate some examples.Simulation further shows that appropriate system parameters can achieve weak signal detection of under-damped second-order linear system in the noise background so long as the system is in the resonance region.So it confirms that this method resolves multiplicative noise feasibly and effectively.