Fractional stochastic resonance of multi-frequency weak periodic signals in alpha-stable noisy environment

This paper studies the stochastic resonance (SR) phenomenon generated by the multi-frequency weak periodic signals on the bistable fractional system in α - stable noisy environment. The influence to the output signal are analyzed by the structural parameters a, b of bistable system, the intensity D of α - stable noise as well as the fractional order p individually while the other parameters kept unchanged. The numerical simulation results show that the fractional order p can enhance the SR by analyzing the power spectrum of output signal. The characteristic index Average Signal-to-noise ratio (SNR) Gain is used to reflect the influence to the SR by changing the structural parameters a, b of bistable system and the intensity D of α - stable noise. Both curves are non-monotonic when one of the parameters is changed, it increases then decreases.