Weak Signal Detection based on the New Fractional Order Bistable System

Stochastic resonance as a means of signal detection and enhancement, is always based on the general simple bistable system, this research extends the general one into a new complex fractional order bistable system, which is established on the over-damped fractional Langevin equation, the dynamic characteristic of the new system is analyzed by simulation, the generation and enhancement of stochastic resonance as well as its relation with the internal parameters is studied. The system when applied with weak periodic signal and external noise is also researched, we found that the stochastic resonance phenomenon can be generated and improved by changing the fractional order, frequency of input periodic signal and the external noise, the power spectrum of weak signal being detected is boosted thus making it more easily to be detected.