Scale transformation for detecting weak periodic signal of stochastic resonance

Aiming at the issue of the traditional stochastic resonance only applicable to deal with low-frequency signals, a high-frequency weak signal detection method based on scale transformation is proposed in this paper. The high-frequency weak signal mixed with noise is scaled to a low frequency signal. The signal conforms to the adiabatic elimination theory. So when it acts on stochastic resonance systems, the stochastic resonance can arise. The original high frequency weak signal mixed with noise can be retrieved by scaled up by the same ratio. To deal with the unknown frequency mixed with noise, the high frequency mixed signal is scaled down continuously to achieve a suitable matching parameters for the stochastic system. According to the change of resonance spectral peak value, the unknown frequency can be found from the mixed signal. This method is effective for future application.