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Schmitt trigger: A solvable model of stochastic resonance

V. I. Melnikov

  • Groupe de Dynamique de Phases Condensées, Université de Montpellier II, Montpellier, France

Phys. Rev. E 48, 2481 – Published 1 October, 1993

DOI: https://doi.org/10.1103/PhysRevE.48.2481

Abstract

An ideal Schmitt trigger (ST) is the simplest two-state system available for realization of stochastic resonance (SR). An exact solution is found for the ST driven by exponentially correlated Gaussian noise plus a weak periodic signal. The signal-to-noise ratio is shown to pass through a maximum at a specific value of the noise intensity. A qualitative classification is given for a class of noise models which either exhibit SR or do not.

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