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Theoretical and experimental implementation of vibrational resonance in an array of hard limiters

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  • Ren, Yuhao
  • Duan, Fabing

Abstract

We report that the output signal-to-noise ratio (SNR) of a parallel array of hard limiters can be maximized at an optimal high-frequency vibration amplitude, i.e. the vibrational resonance (VR) effect. As the external noise shape parameter varies, the bifurcation mode of maximal SNR gain is found, and the upper limit of SNR gain is discussed. We theoretically demonstrate a tractable realization of an infinite array approached by a finite array of two hard limiters, and design an electronic circuit experiment to verify the feasibility of this effective method. These results indicate the potential applications of vibrational devices to array signal processing.

Suggested Citation

  • Ren, Yuhao & Duan, Fabing, 2016. "Theoretical and experimental implementation of vibrational resonance in an array of hard limiters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 319-326.
    • Handle: RePEc:eee:phsmap:v:456:y:2016:i:c:p:319-326
    DOI: 10.1016/j.physa.2016.03.073
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    References listed on IDEAS

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    1. Fabing Duan & François Chapeau-Blondeau & Derek Abbott, 2012. "Fisher Information as a Metric of Locally Optimal Processing and Stochastic Resonance," PLOS ONE, Public Library of Science, vol. 7(4), pages 1-6, April.
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    Cited by:

    1. Li, Jimeng & Cheng, Xing & Peng, Junling & Meng, Zong, 2022. "A new adaptive parallel resonance system based on cascaded feedback model of vibrational resonance and stochastic resonance and its application in fault detection of rolling bearings," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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    1. Ren, Yuhao & Pan, Yan & Duan, Fabing, 2022. "SNR gain enhancement in a generalized matched filter using artificial optimal noise," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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