Stochastic resonance as an inherent property of ratemodulated random series of events
Abstract
At the molecular level, processes in physics and biology are intrinsically random. Quite often they can be described as random series of elementary events, Poisson trains, whose event generation rate is a function of an input driving parameter. We analyze the transduction of weak signals by such trains in the presence of additive input noise in terms of transfer coefficient and output signaltonoise ratio. We show that the noisefacilitated signal transduction, stochastic resonance (SR), is an inherent property of parameterdependent Poisson trains with a nonlinear relationship between the event generation rate, r( V( t)), and the driving parameter, V( t). We obtain a sufficient condition for the SR onset that shows that for the input noise with a sufficiently broad bandwidth, SR can be observed in a wide variety of such systems. If this relationship is represented by r( V( t)) ∝ 1 + Σ_{1}^{3}r_{n}V^{n}( t), then the system is capable of SR if {6r _{3}}/{r _{1}}  r _{2} > 0 Addition of small noise with a broad bandwidth to the system input increases the output signal quality. To highlight the mechanism of noisefacilitated signal transduction in such systems, we also analyze the “linearizing” effect of the additive noise on signal transduction in ratemodulated Poisson series.
 Publication:

Physics Letters A
 Pub Date:
 November 1998
 DOI:
 10.1016/S03759601(98)006100
 Bibcode:
 1998PhLA..248...29B
 Keywords:

 RANDOM EVENTS;
 POISSON TIME SERIES;
 NOISEFACILITATED SIGNAL TRANSDUCTION;
 SMALLSIGNAL DETECTION AND ANALYSIS