Detection of weak aperiodic shock, signal based on stochastic resonance

In order to detect weak aperiodic shock signal from strong background noise, a new method based on the stochastic resonance (SR) theory, is proposed. A bistable system is used as a signal processor. Aperiodic shock signal embedded in strong noise passes through the processor, and under the cooperation of the signal, noise and bistable system, utilizing the mechanism of SF, partial energy of the noise will be converted to that of the signal. Thus the signal-to-noise ratio (SNR) of the output signal will be improved. Numerical simulation algorithm of the bistable SR system is presented. The effect of the system parameters on the proposed algorithm is discussed and the constraint condition for the aperiodic signal parameters is investigated. By using the simulated data, it is proven that even the ratio of the peak height of the aperiodic shock signal to the root mean square of the noise is as low as 0.5, there is still a good shape matching between the output signal and the original input aperiodic shock signal, and the method proposed is an effective approach for detecting weak aperiodic shock signal.