Signal-to-noise ratio improvement by stochastic resonance in moments in non-dynamical systems with multiple states

Abstract Conventional stochastic resonance in terms of signal-to-noise ratio refers to the amplification of a weak signal in the average of the output. In this framework, only the first moment of the output is used for extracting the information about the input signal. However, higher order moments are also modulated by the input signal. We report the occurrence of stochastic resonance in higher moments. Furthermore, by the linear combination of moments, the signal-to-noise ratio improves compared with the conventional method, which uses the lowest moment only.

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