Effect of spatial correlation on stochastic resonance in two linearly interacting noisy bistable oscillators

Kang, Yanmei; Xie, Yong

doi:10.1088/1742-5468/2012/10/p10029

Cited by 3 publications

(3 citation statements)

References 37 publications

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“…[21] Moreover, Duan et al [22,23] formulated the array SR theory in an uncoupled parallel array of the BSR (P-BSR) system and derived the SNR gain can be greater than one. Unlike uncoupled dynamic systems, Kang et al [24] adopted two linearly interacting overdamped bistable oscillators to explore the effect of spatially correlated noise on the SR phenomenon. So far, the idea of an "arrayaided effect" has been considered in ensembles of coupled SR systems, [24][25][26][27][28][29] threshold comparators, [14,[30][31][32] and dynamic bistable oscillators.…”

Section: Introductionmentioning

confidence: 99%

“…Unlike uncoupled dynamic systems, Kang et al [24] adopted two linearly interacting overdamped bistable oscillators to explore the effect of spatially correlated noise on the SR phenomenon. So far, the idea of an "arrayaided effect" has been considered in ensembles of coupled SR systems, [24][25][26][27][28][29] threshold comparators, [14,[30][31][32] and dynamic bistable oscillators. [33][34][35] To investigate both the optimal and robust parameter allocation policy and the array-aided effect, in this paper, we explore a P-BSR-based communication system (P-BSR-CS) to transmit BPAM signals under very low SNR.…”

Section: Introductionmentioning

confidence: 99%

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Parameter allocation of parallel array bistable stochastic resonance and its application in communication systems

et al. 2016

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In this paper, we propose a parameter allocation scheme in a parallel array bistable stochastic resonance-based communication system (P-BSR-CS) to improve the performance of weak binary pulse amplitude modulated (BPAM) signal transmissions. The optimal parameter allocation policy of the P-BSR-CS is provided to minimize the bit error rate (BER) and maximize the channel capacity (CC) under the adiabatic approximation condition. On this basis, we further derive the best parameter selection theorem in realistic communication scenarios via variable transformation. Specifically, the P-BSR structure design not only brings the robustness of parameter selection optimization, where the optimal parameter pair is not fixed but variable in quite a wide range, but also produces outstanding system performance. Theoretical analysis and simulation results indicate that in the P-BSR-CS the proposed parameter allocation scheme yields considerable performance improvement, particularly in very low signal-to-noise ratio (SNR) environments.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Parameter allocation of parallel array bistable stochastic resonance and its application in communication systems

et al. 2016

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“…With respect to this topic, the literature is undoubtedly wide, and SR has attracted considerable attention in the past thirty years (for a review see, for example, [6,7]). For the general approach to the problem, the reader can consult [8,9] for Markovian noise and [10]- [12] for non-Poissonian noise. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Stochastic resonance in a non-Poissonian dichotomous process: a new analytical approach

2013

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In this paper we present a new approach to evaluate the average of a function of a stochastic variable in the case of a non-Poissonian dichotomous process. We show that using a two-point correlation function approximation we can explore the asymptotic regime with great precision. We apply our approach to study the phenomenon of stochastic resonance. As an example we consider a resistor–capacitor circuit with a stochastic capacitance C and driven by a periodic voltage. We provide an analytical expression for the average charge in the stationary regime and we show that the amplitude of the average charge, and consequently of the average current, displays the phenomenon of stochastic resonance.

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Signal-to-Noise Ratio Gain via Correlated Noise in an Ensemble of Noisy Neurons

Feng

2020

J. Biol. Syst.

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The collective response of an ensemble of leaky integrate-and-fire neurons induced by local correlated noise is investigated theoretically. Based on the linear response theory, we derive the analytic expression of signal-to-noise ratio (SNR). Numerical results show that the amplitude of internal noise can be increased up to an optimal value where the output SNR reaches a maximum value. Interestingly, we find that the correlated noise between the nearest neurons could lead to the obvious SNR gain. We also show that the SNR can reach unity under condition that the correlated noise between the nearest neurons is negative. This nonlinear amplification of SNR gain in an ensemble of noisy neurons can be related to the array stochastic resonance (SR) phenomenon. Furthermore, we also show that the SNR gain can also be optimized by tuning the number of neuron units, frequency and amplitude of the weak periodic signal.

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Effect of spatial correlation on stochastic resonance in two linearly interacting noisy bistable oscillators

Cited by 3 publications

References 37 publications

Parameter allocation of parallel array bistable stochastic resonance and its application in communication systems

Parameter allocation of parallel array bistable stochastic resonance and its application in communication systems

Stochastic resonance in a non-Poissonian dichotomous process: a new analytical approach

Signal-to-Noise Ratio Gain via Correlated Noise in an Ensemble of Noisy Neurons

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