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M-ary suprathreshold stochastic resonance in multilevel threshold systems with signal-dependent noise

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  • Cheng, Chaojun
  • Zhou, Bingchang
  • Gao, Xiao
  • McDonnell, Mark D.

Abstract

We investigate multilevel threshold systems with signal-dependent noise that transmit a common random input signal. We demonstrate the occurrence of M-ary suprathreshold stochastic resonance caused by the signal-dependent noise, and quantify the information enhancement that results relative to the absence of noise. We also find that in the case of M-ary threshold systems, the values of mutual information and signal-to-quantization-noise ratio are larger than the corresponding values in the case of binary threshold systems. These results are potentially useful for understanding the encoding mechanism of inner-ear hair cells and other biological sensory systems.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:479:y:2017:i:c:p:48-56
    DOI: 10.1016/j.physa.2017.03.010
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    References listed on IDEAS

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    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.
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    Cited by:

    1. 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.
    2. Liu, Jian & Wang, Youguo, 2018. "Performance investigation of stochastic resonance in bistable systems with time-delayed feedback and three types of asymmetries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 359-369.
    3. Xie, Tianting & Ji, Yuandong & Yang, Zhongshan & Duan, Fabing & Abbott, Derek, 2023. "Optimal added noise for minimizing distortion in quantizer-array linear estimation," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).

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