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2008 Fiscal Year Annual Research Report

低階数擬似不偏推定法と悪条件逆問題への応用に関する研究

Research Project

Project/Area Number 19500186
Research InstitutionTokyo Institute of Technology

Principal Investigator

山田 功  Tokyo Institute of Technology, 大学院・理工学研究科, 准教授 (50230446)

Keywords最小分散低階数擬似不偏推定行列 / MV-PURE / Stochastic MIMO / 逆問題 / ロバスト推定 / 低階数に近似行列 / 特異値分解
Research Abstract

論文1 では「不偏推定行列」の低階数最良近似行列の中で「最小の分散値」を達成する「最小分散低階数擬似不偏推定行列」を導くことに成功している.また,これを用いることにより悪条件の線形逆問題に対する優れた推定法が実現されることを明らかにしている.さらに,論文2ではMIMO通信システムの最適受信機に「最小分散低階数擬似不偏推定行列」を応用することにより,モデル誤差にロバストな受信機が実現できることを明らかにしている.その他、多くの関連研究の成果が得られている.
1. Tomasz Piotrowski,Isao Yamada,"MV-PURE Estimator:Minimum-Variance Pseudo-Unbiased Reduced-Rank Estimator for Linearly Constrained III-Conditioned Inverse Problems,"IEEE Trans. Signal Processing,vol.56,no.8,pp.3408-3423,2008.
2. Tomasz Piotrowski,Renato Cavalcante,Isao Yamada,"Stochastic MV-PURE Estimator-Robust Reduced-Rank Estimator for Stochastic Linear Model,"IEEE Trans.Signal Processing,vol.57,no.4,pp.1293-1303,2009.

  • Research Products

    (9 results)

All 2009 2008

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (4 results)

  • [Journal Article] Stochastic MV-PURE Estimator-Robust Reduced-Rank Estimator for Stochastic Linear Model2009

    • Author(s)
      Tomasz Piotrowski, Renato Cavalcante, lsao Yamada
    • Journal Title

      IEEE Trans. Signal Process. vol. 57

      Pages: 1293-1303

    • Peer Reviewed
  • [Journal Article] Multiaccess Interference Suppression in Orthogonal Space-Time Block Coded MIMO Systems by Adaptive Projected Subgradient Method2008

    • Author(s)
      Renato. Cavalcante, lsao Yamada
    • Journal Title

      IEEE Trans. Signal Process. vol. 56

      Pages: 1028-1042

    • Peer Reviewed
  • [Journal Article] MV-PURE Estimator : Minimum-Variance Pseudo-Unbiased Reduced-Rank Estimator for Linearly Constrained III-Conditioned Inverse Problems2008

    • Author(s)
      Tomasz Piotrowski, lsao Yamada
    • Journal Title

      IEEE Trans. Signal Process. vol. 56

      Pages: 3408-3423

    • Peer Reviewed
  • [Journal Article] A Deep Monotone Approximation Operator Based on the Best Quadratic Lower Bound of Convex Functions2008

    • Author(s)
      Masao Yamagishi, lsao Yamada
    • Journal Title

      lElCE Trans. Fundamentals vol. E91-A

      Pages: 1858-1866

    • Peer Reviewed
  • [Journal Article] An Efficient Adaptive Minor Subspace Extraction Using Exact Nested Orthogonal Complement Structure2008

    • Author(s)
      Masaki Misono, lsao Yamada
    • Journal Title

      IEICE Trans. Fundamentals vol. E91-A

      Pages: 1867-1874

    • Peer Reviewed
  • [Presentation] Minimum-Variance Pseudo-Unbiased Reduced Rank Estimator and Its Applications【Invited Lecture】2009

    • Author(s)
      Isao Yamada, Tomasz Piotrowski
    • Organizer
      "Special Session on Nonsmooth Analysis in Inverse and Variational Problems" 115^<th> Annual Meeting of the American Mathematical Society (AMS)
    • Place of Presentation
      Washington, DC
    • Year and Date
      2009-01-05
  • [Presentation] Reduced-rank extension of BLUE and deep lipschitzian gradient projector for inverse problems2008

    • Author(s)
      Isao Yamada, Tomasz Piotrowski, Masao Yamagishi
    • Organizer
      IUCr2008(lnternational Union of Crystallography) Invited Micro Symposium : Real space direct method
    • Place of Presentation
      大阪
    • Year and Date
      2008-08-28
  • [Presentation] Adaptive Processing in a World of Projection【Plenary Lecture】2008

    • Author(s)
      Sergios Theodoridis, Konstantinos Slavakis, Isao Yamada
    • Organizer
      2008 IEEE International Workshop on Machine Learning for Signal Processing (MLSP)
    • Place of Presentation
      Cancun
    • Year and Date
      2008-08-17
  • [Presentation] Peak-to-average power ratio reduction in OFDM systems by the Adaptive Projected Subgradient Method2008

    • Author(s)
      Renato Cavalcante, Isao Yamada
    • Organizer
      Proc. IEEE ICASSP 2008
    • Place of Presentation
      Las Vegas
    • Year and Date
      2008-04-02

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Published: 2010-06-11   Modified: 2016-04-21  

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