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Signal-to-noise ratio of a dynamical saturating system: Switching from stochastic resonator to signal processor

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

Abstract

We consider an isolated dynamical saturating system for processing a noisy sinusoidal signal, and evaluate its performance with the measure of the signal-to-noise ratio. The considered system is linear for small inputs, but exhibits saturation in its response for large inputs. This nonlinearity displays the nonlinear phenomenon of stochastic resonance for a large biased sinusoid in appropriate system parameter regions. Without the stochastic resonance phenomenon, this dynamical saturating system can achieve a signal-to-noise ratio gain exceeding unity for a noisy unbiased sinusoid. These numerical results manifest the nonlinearities and the signal-processing ability of this system acting as a stochastic resonator or a signal processor.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:11:p:2394-2402
    DOI: 10.1016/j.physa.2008.01.032
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    References listed on IDEAS

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    1. Xu, Bohou & Li, Jianlong & Zheng, Jinyang, 2004. "Parameter-induced aperiodic stochastic resonance in the presence of multiplicative noise and additive noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 156-166.
    2. Schmid, Gerhard & Hänggi, Peter, 2005. "Controlling nonlinear stochastic resonance by harmonic mixing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(1), pages 95-105.
    3. M. I. Dykman & P. V. E. McClintock, 1998. "What can stochastic resonance do?," Nature, Nature, vol. 391(6665), pages 344-344, January.
    4. Fuentes, M.A. & Toral, Raúl & Wio, Horacio S., 2001. "Enhancement of stochastic resonance: the role of non Gaussian noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 114-122.
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    Cited by:

    1. 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.
    2. Pan, Yan & Ren, Yuhao & Duan, Fabing, 2018. "Noise benefits to robust M-estimation of location in dependent observations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 144-152.

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