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Stochastic resonance and noise effects in threshold systems : from the viewpoint of entropy and applications

Research Project

Project/Area Number 16560052
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Engineering fundamentals
Research InstitutionKyoto University

Principal Investigator

MUNAKATA Toyonori  Kyoto University, School of Informatics, Professor, 情報学研究科, 教授 (40026357)

Project Period (FY) 2004 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,700,000 (Direct Cost: ¥3,700,000)
Fiscal Year 2005: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2004: ¥2,700,000 (Direct Cost: ¥2,700,000)
KeywordsStochastic resonance / Filtering theory / threshold system / self-tuning / adaptive learning of threshold value / ergode-nonergode transition / mutual information / noise effect / stochastic resonance / threshold system
Research Abstract

Stochastic resonance(SR) in threshold systems was studied from information theoretical standpoints. Especially the mutual information between input and output signals was shown to be a good measure for estimation of performance in SR.
The main results are as follows :
1) Ergode-nonergode transition in a threshold system : When we have time-dependent input signals, we found that the Output signal corresponding to the input can not determined uniquely and the output depends on the history of the Input signals. This was analyzed based on time-dependent probability distribution and the limitation of a mean-field approach was clarified.
2) SR and mutual information : Both for periodic and aperiodic input signals, we showed that the mutual information can be a good measure for information transfer like the signal-to-noise ratio and power norm, extensively used in literatures.
3) Self-tuning and effects of noise : Modelling high performance of auditory systems in animals, we proposed a simple adaptation rule for a threshold value and confirmed that our system nicely processes informations, even if it is put in a quiet circumstance where noise effects are weak.
4) Extension of Macnamara-Wiesenfeld(MW) treatment of SR : We extended the treatment of MW so that our approach is applicable when the input signal is not weak. Self-tuning was also shown to be formulated within this framework.

Report

(3 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • Research Products

    (9 results)

All 2006 2005 2004

All Journal Article (9 results)

  • [Journal Article] Filtering for simple threshold systems : Self-tuning, mutual information and applications2006

    • Author(s)
      T.Hada, T.Munakata
    • Journal Title

      IEICE (印刷中)

    • NAID

      110007537726

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Filtering for simple threshold systems : Self-tuning, mutual information and applications2006

    • Author(s)
      T.Hada, T.Munakata
    • Journal Title

      IEICE (2006) (to be published)

    • NAID

      110007537726

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Stochastic resonance in a simple threshold system from a static mutual information viewpoint2005

    • Author(s)
      T.Munakata, A.Sato, T.Hada
    • Journal Title

      J. Phys. Soc. Japan 74

      Pages: 2094-2098

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Stochastic resonance in a simple threshold system from a static mutual information viewpoint2005

    • Author(s)
      T.Munakata, A.Sato, T.Hada
    • Journal Title

      J.Phys.Soc.Japan 74

      Pages: 2094-2098

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] Rectification efficiency of the Feynman ratchet2005

    • Author(s)
      T.Munakata, D.Suzuki
    • Journal Title

      J.Phys.Soc.Japan 74-2

      Pages: 550-553

    • NAID

      110001979413

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Signal estimation and threshold optimization using an array of bithreshold elements2004

    • Author(s)
      A.Sato, M.Ueda, T.Munakata
    • Journal Title

      Phys. Rev. 70

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Signal estimation and threshold optimization using an array of bithreshold elements2004

    • Author(s)
      A.Sato, M.Ueda, T.Munakata
    • Journal Title

      Phys.Rev. 70

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Exact statistics of three-hard-disk system in two-dimensional space2004

    • Author(s)
      Z.Cao, H.Li, T.Munakata, D He, G.Hu
    • Journal Title

      Physica A A334

      Pages: 187-200

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Signal estimation and threshold optimization using an array of bithreshold element2004

    • Author(s)
      A.Sato, M.Ueda, T.Munakata
    • Journal Title

      Phys.Rev.E 70

    • Related Report
      2004 Annual Research Report

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Published: 2004-04-01   Modified: 2016-04-21  

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