Mechanism of signal-to-noise ratio gain in a monostable threshold stochastic resonator

Tamás Fülei, Zoltán Gingl, Péter Makra

Research output: Contribution to journalConference article

Abstract

In the last few years, several papers have been published that reported high signal-to-noise ratio (SNR) gains in systems showing stochastic resonance. In the present work, we consider a level-crossing detector driven by a periodic pulse train plus Gaussian band-limited white noise, and provide analytical formulae for the dependence of the SNR gain on the relevant parameters of the input (the amplitude and the cut-off frequency of noise, the duty cycle of the deterministic signal and the distance between the threshold and the amplitude of the signal). Our results are valid in the input parameter range wherein high gains are expected, that is, wherein the probabilities of missing and, especially, extra output peaks are very low. We also include numerical simulation results that support the theory, along with illustrations of cases which are outside the validity of our theory.

Original languageEnglish
Pages (from-to)327-334
Number of pages8
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume5114
DOIs
Publication statusPublished - Sep 19 2003
EventNoise in Complex Systems and Stochastic Dynamics - Santa Fe, NM, United States
Duration: Jun 2 2003Jun 4 2003

Keywords

  • Level-crossing detector
  • Stochastic resonance

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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