An Analytical Study of Coupled Two-State Stochastic Resonators
Abstract
The two-state model of stochastic resonance is extended to a chain of coupled two-state elements governed by the dynamics of Glauber's stochastic Ising model. Appropriate assumptions on the model parameters turn the chain into a prototype system of coupled stochastic resonators. In a weak-signal limit analytical expressions are derived for the spectral power amplification and the signal-to-noise ratio of a two-state element embedded into the chain. The effect of the coupling between the elements on both quantities is analysed and array-enhanced stochastic resonance is established for pure as well as noisy periodic signals. The coupling-induced improvement of the SNR compared to an uncoupled element is shown to be limited by a factor four which is only reached for vanishing input noise.
Cite
@article{arxiv.cond-mat/9804305,
title = {An Analytical Study of Coupled Two-State Stochastic Resonators},
author = {Udo Siewert and Lutz Schimansky-Geier},
journal= {arXiv preprint arXiv:cond-mat/9804305},
year = {2009}
}
Comments
29 pages, 5 figures