Non-Gaussian, non-dynamical stochastic resonance

TL;DR

This paper investigates how replacing Gaussian noise with non-Gaussian, alpha-stable noise affects non-dynamical stochastic resonance, revealing that such non-equilibrium noise can either weaken or enhance the resonance effect.

Contribution

It introduces the study of non-dynamical stochastic resonance under alpha-stable non-Gaussian noise, expanding understanding beyond traditional Gaussian noise models.

Findings

Alpha-stable noise can modulate the strength of stochastic resonance.

Non-equilibrium noise parameters influence resonance enhancement or weakening.

The study broadens the applicability of stochastic resonance in non-Gaussian noise environments.

Abstract

The archetypal system demonstrating stochastic resonance is nothing more than a threshold triggered device. It consists of a periodic modulated input and noise. Every time an output crosses the threshold the signal is recorded. Such a digitally filtered signal is sensitive to the noise intensity. There exist the optimal value of the noise intensity resulting in the "most" periodic output. Here, we explore properties of the non-dynamical stochastic resonance in non-equilibrium situations, i.e. when the Gaussian noise is replaced by an $\alpha$-stable noise. We demonstrate that non-equilibrium $\alpha$-stable noises, depending on noise parameters, can either weaken or enhance the non-dynamical stochastic resonance.