This article is cited in 1 paper

Nonlinear optical phenomena

On the theory of signal filtration in a bistable moderately dissipating oscillatory system

A. N. Dombrovskii^a, S. A. Reshetnyak^ba, V. A. Shcheglov<sup>b

a</sup> Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University)
^b P. N. Lebedev Physical Institute, Russian Academy of Sciences, Moscow

Abstract: The interaction of a weak periodic signal with noise is studied theoretically in bistable systems. Based on the generalised Smoluhowski equation, it is shown that, depending on the relation between the friction coefficient and the oscillation eigenfrequency, the solution of this equation has the aperiodic or oscillatory character. Within the framework of the linear response theory, the stochastic resonance effect is explained and the optimum value of the friction coefficient is found at which the output signal-to-noise ratio of a bistable system exceeds the input signal-to-noise ratio.

PACS: 42.65.Sf

Received: 18.03.2005
Revised: 30.08.2005

 English version: Quantum Electronics, 2005, 35:11, 1033–1038

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