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Input–output gain of collective response in an uncoupled parallel array of saturating dynamical subsystems

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  • Duan, Fabing
  • Chapeau-Blondeau, François
  • Abbott, Derek

Abstract

We explore the collective response of an uncoupled parallel array of saturating dynamical subsystems to a noisy periodic or random signal. Numerical simulation results show that a parallel array of nonlinear saturating subsystems can enhance the signal transmission via tuning the internal noise intensity and increasing the array size. The input–output gain larger than unity, described by the signal-to-noise ratio for a periodic signal or the correlation coefficient for a random signal, is observed in a form of array stochastic resonance. This stochastic resonance phenomenon can be useful for practical information-processing systems.

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  • Duan, Fabing & Chapeau-Blondeau, François & Abbott, Derek, 2009. "Input–output gain of collective response in an uncoupled parallel array of saturating dynamical subsystems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1345-1351.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:8:p:1345-1351
    DOI: 10.1016/j.physa.2008.12.041
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    References listed on IDEAS

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    1. M. I. Dykman & P. V. E. McClintock, 1998. "What can stochastic resonance do?," Nature, Nature, vol. 391(6665), pages 344-344, January.
    2. Chapeau-Blondeau, François & Duan, Fabing & Abbott, Derek, 2008. "Signal-to-noise ratio of a dynamical saturating system: Switching from stochastic resonator to signal processor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(11), pages 2394-2402.
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    Cited by:

    1. Duan, Fabing & Chapeau-Blondeau, François & Abbott, Derek, 2011. "Neural signal transduction aided by noise in multisynaptic excitatory and inhibitory pathways with saturation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(16), pages 2855-2862.
    2. Cheng, Chaojun & Zhou, Bingchang & Gao, Xiao & McDonnell, Mark D., 2017. "M-ary suprathreshold stochastic resonance in multilevel threshold systems with signal-dependent noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 48-56.
    3. Xu, Liyan & Duan, Fabing & Abbott, Derek & McDonnell, Mark D., 2016. "Optimal weighted suprathreshold stochastic resonance with multigroup saturating sensors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 348-355.

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