位相縮約による非線形発振回路の雑音誘起同期現象の数理解析 (回路とシステム)  [in Japanese] Phase Reduction Analysis on Noise-induced Synchronization among Nonlinear Oscillator Circuits  [in Japanese]

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Author(s)

    • 三浦 佳二 MIURA Keiji
    • 東北大学大学院情報科学研究科:さきがけJST Collaborative Mathematics Research Unit, Graduate School of Information Sciences, Tohoku University:Alliance for Breakthrough between Mathematics and Sciences, PRESTO, JST
    • 浅井 哲也 ASAI Tetsuya
    • 北海道大学大学院情報科学研究科 Graduate School of Information Science and Technology, Hokkaido University

Abstract

本研究では、非線形発振回路における雑音誘起同期現象を最適化する設計手法について提案する.まず,位相縮約理論に基づいて,発振回路の位相応答特性を随伴固有関数法により数値計算的に求め,雑音誘起同期現象による位相同期促進を最適化するType IIの位相応答特性を示すことを確認した.次に,物理的なデバイスパラメータや回路パラメータと数理的なモデルパラメータとの対応を明らかにした.さらに,実用的な集積化実装の観点から,最適な位相応答曲線を得るための物理的なパラメータの調整方法について系統的に調べた結果について示すとともに,具体的な最適化設計について示す.

We propose a design approach for optimization of noise-induced synchronization among analog sub-RF CMOS oscillator circuits, each of which is known as the Wilson-Cowan type. Based on the phase reduction theory, we numerically computed the phase sensitivity function of the circuit using the adjoint method. As a result, the circuit show the Type II phase sensitivity properties, which are optimal for noise-induced synchronization among nonlinear limit-cycle oscillators subjected to white Gaussian noise. We further clarified the relationship between physical device and circuit parameters and mathematical model parameters of the circuit From the viewpoint of practical integrated circuit implementation, we systematically investigated how to tune the physical parameters to obtain an optimal phase sensitivity function for noise-induced synchronization, and demonstrate an optimized design approach.

Journal

  • IEICE technical report. Circuits and systems

    IEICE technical report. Circuits and systems 111(377), 89-94, 2012-01-19

    The Institute of Electronics, Information and Communication Engineers

Codes

  • NII Article ID (NAID)
    110009481060
  • NII NACSIS-CAT ID (NCID)
    AN10013094
  • Text Lang
    JPN
  • ISSN
    0913-5685
  • NDL Article ID
    023423259
  • NDL Call No.
    Z16-940
  • Data Source
    NDL  NII-ELS 
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