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Communication channel capacity and optimization of probability measure

Research Project

Project/Area Number 24560490
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Communication/Network engineering
Research InstitutionThe Institute of Statistical Mathematics

Principal Investigator

IKEDA Shiro  統計数理研究所, 数理・推論研究, 准教授 (30336101)

Co-Investigator(Kenkyū-buntansha) HAYASHI Kazunori  京都大学, 情報学研究科, 准教授 (50346102)
Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords通信路容量 / 変調方式 / レート歪関数 / 適応変調方式
Outline of Final Research Achievements

Communication channel capacity is an important quantity in communication theory. When the input and output of a channel are continuous, capacity is defined as the supremum of the mutual information over the input probability measure under proper constraints. And the input probability distribution which attains the optimum gives the optimal modulation. Because the channel of the mobile communication is continuous, we have considered realistic peak power constraints, and solved the optimization problem in order to reveal the distribution of the optimal modulation. Our results provide a theoretical guide for the modulation design in communication system. We also extended our results for the analysis of the rate-distortion function, which is defined as the dual of the channel capacity optimization problem, and showed an example of the function with a new type of characteristic.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (26 results)

All 2015 2014 2013 2012

All Journal Article (8 results) (of which Peer Reviewed: 3 results,  Open Access: 1 results,  Acknowledgement Compliant: 1 results) Presentation (18 results) (of which Invited: 3 results)

  • [Journal Article] Entropic risk minimization for nonparametric estimation of mixing distributions2015

    • Author(s)
      Kazuho Watanabe and Shiro Ikeda
    • Journal Title

      Machine Learning

      Volume: 99(1) Issue: 1 Pages: 119-136

    • DOI

      10.1007/s10994-014-5467-7

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Rate-distortion function for gamma sources under absolute-log distortion measure2013

    • Author(s)
      Kazuho Watanabe, Shiro Ikeda
    • Journal Title

      Proceedings of the 2013 IEEE International Symposium on Information Theory

      Volume: ISIT2013 Pages: 2557-2561

    • DOI

      10.1109/isit.2013.6620688

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] 自己干渉波キャンセラを用いた無線パケット衝突検出法2013

    • Author(s)
      川田渡,林和則,金子めぐみ,島本拓実,酒井英昭
    • Journal Title

      信学技法

      Volume: RRRC2013-02 Pages: 1-6

    • Related Report
      2013 Research-status Report
  • [Journal Article] アレーアンテナと自己干渉波キャンセラを用いた無線パケット衝突検出法2013

    • Author(s)
      川田渡,林和則,金子めぐみ,島本拓実,酒井英昭
    • Journal Title

      信学技法

      Volume: RCS2013-113 Pages: 89-94

    • Related Report
      2013 Research-status Report
  • [Journal Article] 離散階層変調方式を用いたマルチユーザ環境のための無線中継伝送法2013

    • Author(s)
      山浦 寛史, 金子 めぐみ, 林 和則, 酒井 英昭
    • Journal Title

      信学技報

      Volume: RCS2012-117 Pages: 213-218

    • Related Report
      2012 Research-status Report
  • [Journal Article] Bregman 情報量を損失としたベイズリスクに関する考察2012

    • Author(s)
      池田 思朗, 竹内 純一
    • Journal Title

      第35回情報理論とその応用シンポジウム予稿集

      Volume: SITA2012 Pages: 263-268

    • Related Report
      2012 Research-status Report
  • [Journal Article] Rate-distortion function for gamma sources under absolute-log distortion2012

    • Author(s)
      渡辺 一帆, 池田 思朗
    • Journal Title

      第35回情報理論とその応用シンポジウム予稿集

      Volume: SITA2012 Pages: 425-430

    • Related Report
      2012 Research-status Report
  • [Journal Article] Convex formulation for nonparametric estimation of mixing distribution2012

    • Author(s)
      Kazuho Watanabe, Shiro Ikeda
    • Journal Title

      Proceedings of the Fifth Workshop on Information Theoretic Methods in Science and Engineering

      Volume: WITMSE2012 Pages: 36-39

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Compressed Sensing based Channel Estimation for Uplink OFDMA Systems2014

    • Author(s)
      K. Hayashi, M. Sakai, T. Kamenosono, and M. Kaneko
    • Organizer
      APSIPA ASC 2014
    • Place of Presentation
      Siem Reap, Cambodia
    • Year and Date
      2014-12-09 – 2014-12-12
    • Related Report
      2014 Annual Research Report
  • [Presentation] 通信路容量と測度の最適化2014

    • Author(s)
      池田思朗
    • Organizer
      第37回情報理論とその応用シンポジウム
    • Place of Presentation
      富山県,宇奈月ニューオータニホテル
    • Year and Date
      2014-12-09 – 2014-12-11
    • Related Report
      2014 Annual Research Report
  • [Presentation] Optimization of Probability Measure and Information Geometry2014

    • Author(s)
      Shiro Ikeda
    • Organizer
      機械学習における情報幾何学的視点
    • Place of Presentation
      埼玉県和光市,理化学研究所
    • Year and Date
      2014-12-03 – 2014-12-05
    • Related Report
      2014 Annual Research Report
  • [Presentation] Faster-Than-Nyquist 信号伝送のためのオーバーラップ処理を用いた周波数領域等化2014

    • Author(s)
      福本浩之,林和則
    • Organizer
      2014信号処理シンポジウム
    • Place of Presentation
      京都府,ビナリオ嵯峨嵐山
    • Year and Date
      2014-11-12 – 2014-11-14
    • Related Report
      2014 Annual Research Report
  • [Presentation] Channel capacity and achievable rates of peak power limited AWGNC, and their applications to adaptive modulation and coding2014

    • Author(s)
      Shiro Ikeda, Kazunori Hayashi, Toshiyuki Tanaka
    • Organizer
      2014 International Symposium on Information Theory and its Applications (ISITA)
    • Place of Presentation
      MCEC, Melbourne, Australia
    • Year and Date
      2014-10-26 – 2014-10-29
    • Related Report
      2014 Annual Research Report
  • [Presentation] ピーク電力制約下の達成可能レートとその適応変調符号化への応用2014

    • Author(s)
      林和則,池田思朗,田中利幸
    • Organizer
      電子情報通信学会CQ研究会
    • Place of Presentation
      宮城県,石巻市河北総合センター
    • Year and Date
      2014-09-11 – 2014-09-12
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Optimization of Probability Measures and Information Geometry2014

    • Author(s)
      池田思朗
    • Organizer
      2nd International Workshop on Information Geometry and Affine Differential Geometry
    • Place of Presentation
      復旦大学,上海,中国
    • Year and Date
      2014-04-11 – 2014-04-12
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 自己干渉波キャンセラを用いた無線パケット衝突検出法2013

    • Author(s)
      川田渡,林和則,金子めぐみ,島本拓実,酒井英昭
    • Organizer
      電子情報通信学会 RRRC研究会
    • Place of Presentation
      京都大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Rate-distortion function for gamma sources under absolute-log distortion measure2013

    • Author(s)
      K. Watanabe and S. Ikeda
    • Organizer
      2013 IEEE International Symposium on Information Theory
    • Place of Presentation
      Istanbul, Turkey
    • Related Report
      2013 Research-status Report
  • [Presentation] Optimization of probability measure and its applications in information theory2013

    • Author(s)
      S. Ikeda
    • Organizer
      The Sixth Workshop on Information Theoretic Methods in Science and Engineering
    • Place of Presentation
      東京大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Wireless Packet Collision Detection Using Self-Interference Canceller2013

    • Author(s)
      W. Kawata, K. Hayashi, M. Kaneko, T. Shimamoto, and H. Sakai
    • Organizer
      2013 APSIPA Annual Summit and Conference
    • Place of Presentation
      Kaohsiung, Taiwan
    • Related Report
      2013 Research-status Report
  • [Presentation] アレーアンテナと自己干渉波キャンセラを用いた無線パケット衝突検出法2013

    • Author(s)
      川田渡,林和則,金子めぐみ,島本拓実,酒井英昭
    • Organizer
      電子情報通信学会 RCS研究会
    • Place of Presentation
      高松市文化芸術ホール
    • Related Report
      2013 Research-status Report
  • [Presentation] 離散階層変調方式を用いたマルチユーザ環境のための無線中継伝送法2013

    • Author(s)
      山浦 寛史, 金子 めぐみ, 林 和則, 酒井 英昭
    • Organizer
      電子情報通信学会RCS研究会
    • Place of Presentation
      ビューポートくれ(呉)
    • Related Report
      2012 Research-status Report
  • [Presentation] Bregman 情報量を損失としたベイズリスクに関する考察2012

    • Author(s)
      池田 思朗, 竹内 純一
    • Organizer
      第35回情報理論とその応用シンポジウム
    • Place of Presentation
      別府湾ロイヤルホテル
    • Related Report
      2012 Research-status Report
  • [Presentation] Rate-distortion function for gamma sources under absolute-log distortion2012

    • Author(s)
      渡辺 一帆, 池田 思朗
    • Organizer
      第35回情報理論とその応用シンポジウム
    • Place of Presentation
      別府湾ロイヤルホテル(別府)
    • Related Report
      2012 Research-status Report
  • [Presentation] Convex formulation for nonparametric estimation of mixing distribution2012

    • Author(s)
      Kazuho Watanabe, Shiro Ikeda
    • Organizer
      The Fifth Workshop on Information Theoretic Methods in Science and Engineering
    • Place of Presentation
      オランダ,アムステルダム
    • Related Report
      2012 Research-status Report
  • [Presentation] Channel Capacity of a Spiking Neuron2012

    • Author(s)
      Shiro Ikeda, Jonathan Manton
    • Organizer
      10th International Neural Coding Workshop
    • Place of Presentation
      チェコ,プラハ
    • Related Report
      2012 Research-status Report
  • [Presentation] Superposition Coding Scheme for Wireless Relay Systems with Adaptive Modulation and Coding2012

    • Author(s)
      Hirofumi Yamaura, Megumi Kaneko, Kazunori Hayashi, Hdeaki Sakai
    • Organizer
      IEEE VTS Asia Pacific Wireless Communications Symposium
    • Place of Presentation
      京都大学(京都)
    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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