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

Journal Article · Wed Nov 30 00:00:00 EST 2005 · Quantum Electronics (Woodbury, N.Y.)

DOI:https://doi.org/10.1070/QE2005V035N11ABEH006584· OSTI ID:21470839

Dombrovskii, A N ^[1]; Reshetnyak, S A; Shcheglov, V A ^[2]

---

1. Moscow State Institute of Radio Engineering, Electronics and Automatics (Technical University), Moscow (Russian Federation)
2. P.N. Lebedev Physics Institute, Russian Academy of Sciences, Moscow (Russian Federation)

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. (nonlinear optical phenomena)

• OSTI ID: 21470839
• Journal Information: Quantum Electronics (Woodbury, N.Y.), Vol. 35, Issue 11; Other Information: DOI: 10.1070/QE2005v035n11ABEH006584; ISSN 1063-7818
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EIGENFREQUENCY
FILTRATION
FRICTION FACTOR
MATHEMATICAL SOLUTIONS
OSCILLATIONS
PERIODICITY
RESONANCE
SIGNALS
SIGNAL-TO-NOISE RATIO
STOCHASTIC PROCESSES
DIMENSIONLESS NUMBERS
SEPARATION PROCESSES
VARIATIONS