We investigated the characteristics of the output saturation of the classical continuous bistable system (saturation bistable system) and its impact on stochastic resonance (SR). We further proposed a piecewise bistable SR system (unsaturated bistable system) and developed the expression of signal-to-noise ratio (SNR) using the adiabatic approximation theory. Compared with the saturation bistable system, the SNR is significantly improved in our unsaturated bistable SR system. The numerical simulation showed that the unsaturated bistable system performed better in extracting weak signals from strong background noise than the saturation bistable system.
REFERENCES
1.
2.
M. D.
McDonnell
, N. G.
Stocks
, C. E. M.
Pearce
, and D.
Abbott
, Stochastic Resonance
(Cambridge University Press
, Cambridge
, 2008
).3.
F.
Moss
, L. M.
Ward
, and W. G.
Sannita
, Clin. Neurophysiol.
115
, 267
(2004
).4.
R.
Benzi
, A.
Sutera
, and A.
Vulpiani
, J. Phys. A
14
, L453
(1981
).5.
6.
C. P.
Jesús
, G. O.
José
, and M.
Manuel
, Chaos
15
, 026115
(2005
).7.
L.
Gammaitoni
, P.
Hanggi
, P.
Jung
, and F.
Marchesoni
, Rev. Mod. Phys.
70
, 223
(1998
).8.
B.
McNamara
and K.
Wiesenfeld
, Phys. Rev. A
39
, 4854
(1989
).9.
P.
Li
, L. R.
Nie
, Q. R.
Huang
, and X. X.
Sun
, Chin. Phys. B
21
, 050503
(2012
).10.
P.
Jung
and P.
Hänggi
, Phys. Rev. A
44
, 8032
(1991
).11.
12.
Y. F.
Guo
and J. G.
Tan
, Acta Phys. Sin.
61
, 170502
(2012
).13.
A. R.
Bulsara
and L.
Gammaitoni
, Phys. Today
49
, 39
(1996
).14.
B. H.
Xu
, F. B.
Duan
, R. H.
Bao
, and J. L.
Li
, Chaos, Solitons Fractals
13
, 633
(2002
).15.
16.
Y. G.
Leng
, Y. S.
Leng
, T. Y.
Wang
, and Y.
Guo
, J. Sound Vib.
292
, 788
(2006
).17.
18.
E.
Heinsalu
, M.
Patriarca
, and F.
Marchesoni
, Eur. Phys. J. B
69
, 19
(2009
).19.
O. A.
Rosso
and C.
Masoller
, Eur. Phys. J. B
69
, 37
(2009
).20.
D.
Rousseau
and F.
Chapeau-Blondeau
, Neural Process. Lett.
20
, 71
(2004
).21.
S.
Blanchard
, D.
Rousseau
, and F.
Chapeau-Blondeau
, Neurocomputing
71
, 333
(2007
).22.
M.
Gosak
, M.
Perc
, and S.
Kralj
, Eur. Phys. J. B
80
, 519
(2011
).23.
F.
Chapeau-Blondeau
, F.
Duan
, and D.
Abbott
, Phys. Rev. E
81
, 021124
(2010
).24.
F.
Chapeau-Blondeau
, F.
Duan
, and D.
Abbott
, Physica A
387
, 2394
(2008
).25.
26.
F.
Chapeau-Blondeau
and D.
Rousseau
, Phys. Lett. A
351
, 231
(2006
).27.
L.
Zhang
, J.
He
, and A. G.
Song
, Fluct. Noise Lett.
8
, 229
(2008
).© 2013 AIP Publishing LLC.
2013
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