Effect of Signal Modulating Noise in Bi-Stable Stochastic Resonance Systems for Detecting Weak Signals

The application of the effect of signal modulating noise in bi-stable stochastic resonance systems is studied by the detection of weak sinusoidal signals. Numerical analyses have been made on the stochastic resonance model in bi-stable dynamical systems. The results show that a sinusoidal and a noise signals are used as the Wiener process corresponding to the input sinusoidal signal and the input white noise,respectively. When the system parameters are appropriately selected,the coupling effect between the sinusoidal signal and the white noise can be weakened and the noise can be suppressed,thus the effect of signal modulating noise can occur in the output. In this case the frequency and the magnitude of the weak sinusoidal signal submerged in the noise can be evaluated by an analysis on the power spectral density of the system output signal. Numerical simulation shows that the application is also effective on the detection of several weak sinusoidal signals submerged in the noise.