Signal Detection and Recovery of Tristable Stochastic Resonance System under a Stable Noise

Based on the tristable stochastic resonance (SR) system, the SR phenomenon and weak signal recovery of high and low frequency sinusoidal signals in $a$ stable noise environment are studied. Firstly, the parameter induced adaptive tristable SR phenomenon under $a$ stable noise is studied. Then, taking the signal-to-noise ratio gain(SNRI) as a measure, the action law of the system parameters on the output of the stochastic resonance system under different noise parameters $a$ and β is analyzed. Finally, aiming at the reason of the distortion of the output waveform of the SR, a tristable SR system recovery method under $a$ stable noise is proposed, and the high, low frequency sinusoidal weak signal is recovered by using the cross-correlation coefficient as a measure. The research results show that the tristable system has a good detection effect on the weak signal. In the signal recovery process, the theoretical analysis is consistent with the actual policy, which proves that the proposed signal recovery method is accurate and feasible, and the recovery effect is ideal.