Stochastic resonance with weak monochromatic driving: gains above unity induced by high-frequency signals

TL;DR

This paper demonstrates that adding a high-frequency signal to a noisy bistable system can enhance the detection of weak low-frequency signals, achieving stochastic resonance gains above unity through an effective model and simulations.

Contribution

It introduces a method to surpass unity gain in stochastic resonance by using high-frequency signals, supported by theoretical modeling and numerical validation.

Findings

High-frequency signals can increase stochastic resonance gains above unity.

Optimal amplitude-to-frequency ratio enhances weak signal detection.

Numerical simulations confirm theoretical predictions.

Abstract

We study the effects of a high-frequency (HF) signal on the response of a noisy bistable system to a low-frequency subthreshold sinusoidal signal. We show that, by conveniently choosing the ratio of the amplitude of the HF signal to its frequency, stochastic resonance gains greater than unity can be measured at the low-frequency value. Thus, the addition of the HF signal can entail an improvement in the detection of weak monochromatic signals. The results are explained in terms of an effective model and illustrated by means of numerical simulations.