Method for Stochastic Resonance to Detect Weak Signal Based on Bi-stable Two Order Nonlinear System

摘要

The stochastic resonance phenomenon and the principle to detect weak signal are introduced. On this basis, a mathematics model of bi-stable two order nonlinear system is provided. The simulation experiment indicates this system can change the white noise of broadband into the narrowband low frequency noise, in order to lay the foundation for producing stochastic resonance. In this paper, the dynamics behavior of the bi-stable nonlinear system with damping is analyzed under the white noise and color noise background. The experiment shows the color noise and white noise have the same influence on stochastic resonance, which showed that the method of detecting weak signal can be expanded to color noise background. A new way and method of signal processing is offered.