On the stochastic resonance from the point of view of filtering properties of a bistable system

Reshetnyak, S. A.; Shcheglov, V. A.

doi:10.1070/qe2003v033n02abeh002375

Cited by 4 publications

(12 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Dependence I(u) is shown by a solid curve and is presented in mm, while W (u) is shown by a dashed curve in terms of 10 4 T 2 /s. ered delta-correlated and a comparison with the theory [9] is possible. In the low-frequency range ν s a of the signals, the SR phenomenon is observed.…”

Section: Experimental Results and Their Discussionmentioning

confidence: 99%

“…(4) is based on the analytical solution or numerical simulation of the kinetic Fokker-Planck equation for the probability density. Until now, the solution to the kinetic equation has been obtained within the framework of the linear-response theory of [9,12]. In what follows, the obtained experimental results are compared with the theory given in [9].…”

Section: Experimental Setup Langevin Equationmentioning

confidence: 97%

“…In this case, the frequency ν Kr defined by the ratio of the barrier height to the noise intensity has the form [2,3] ν Kr ≈ a exp(−W 0 /D). (9) In the absence of noise, ν Kr = 0. Appearance of a new characteristic frequency is the cause of synchronization of the signal and noise and results in the CR phenomenon.…”

Section: Experimental Setup Langevin Equationmentioning

confidence: 99%

“…For the nonlinear electric circuit, the noise factor and the transfer coefficient can be both smaller and greater than unity. This work is aimed at experimental study of the signal-to-noise ratio and its transfer coefficient and comparison with theoretical results [9]. In contrast to [4][5][6], the SR phenomenon is studied in the electric circuits with two and several tunnel diodes.…”

Section: Introductionmentioning

confidence: 99%

“…The importance of studying the transfer coefficient is emphasized by theoretical works [7][8][9][10], which show the possibility of reaching the values q > 1 for a certain choice of the nonlinear-system parameters. Note that the value q −1 coincides with the noise factor or noise coefficient which is often used in the theory of linear electric circuits.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

A study of stochastic resonance in electric circuits with several tunnel diodes

Dombrovsky

Reshetnyak

2008

Radiophys Quantum El

View full text Add to dashboard Cite

The signal and noise interaction in the first-order electric circuit with several tunnel diodes is studied experimentally. The signal-to-noise ratio and the transfer coefficient of the signal-to-noise ratio are obtained as functions of the noise intensity at the circuit input for different frequencies of the signal. It is shown that in the case of a symmetric and bistable potential, the earlier developed theory of linear response to the signal satisfactorily describes the experiment in the low-frequency range of signal and fails in the case of the high frequencies. The stochastic-resonance phenomenon is observed for a symmetric three-well potential. In the case of an asymmetric three-well potential, the double stochastic resonance stipulated by the presence of different-height potential barriers is observed. The transfer coefficient does not exceed unity in all studied systems.

show abstract

Section: Experimental Results and Their Discussionmentioning

confidence: 99%