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A study on Polar codes to improve the performance of coding error rate

Research Project

Project/Area Number 26420352
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Communication/Network engineering
Research InstitutionUniversity of Fukui

Principal Investigator

Iwata Ken-ichi  福井大学, 学術研究院工学系部門, 准教授 (80284313)

Research Collaborator SAKAI Yuta  
Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Keywords情報理論 / 通信路符号 / polar符号 / 通信路出力量子化 / 誤り訂正符号 / 通信路 / 信頼性関数 / Polar符号
Outline of Final Research Achievements

Polar coding, which has been introduced by Arikan, is a channel coding scheme for reliable communication. Polar coding is expected to be one of the new core technique of efficient communication in the future. In this research project, we mainly studied the polar code about the following three subjects: (A) an analysis of the relationship between symmetric channel capacity and reliability function of the channel model, (B) Improvement and speedup on quantization algorithm for discrete channel model used in polar code design, (C) an analysis of the multilevel polarization of the q-ary polar coding.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (20 results)

All 2016 2015 2014 Other

All Journal Article (3 results) (of which Peer Reviewed: 3 results,  Acknowledgement Compliant: 2 results) Presentation (14 results) (of which Int'l Joint Research: 2 results) Remarks (3 results)

  • [Journal Article] Relations Between Conditional Shannon Entropy and Expectation of l_α-Norm2016

    • Author(s)
      Yuta Sakai, Ken-ichi Iwata
    • Journal Title

      Proceedings of 2016 IEEE International Symposium on Information Theory

      Volume: -

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Feasible Regions of Symmetric Capacity and Gallager’s E_0 Function for Ternary-Input Discrete Memoryless Channels2015

    • Author(s)
      Yuta Sakai, Ken-ichi Iwata
    • Journal Title

      Proceedings of 2015 IEEE International Symposium on Information Theory

      Volume: 無

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Suboptimal Quantizer Design for Outputs of Discrete Memoryless Channels with a Finite-Input Alphabet2014

    • Author(s)
      Yuta Sakai, Ken-ichi Iwata
    • Journal Title

      Proceeding of 2014 International Symposium on Information Theory and its Applications

      Volume: 無 Pages: 120-124

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] A Study on Sharma-Mittal Entropy in Terms of Pseudo-Additivity and Aczel-Daroczy Uniqueness Theorem of Renyi Entropy2016

    • Author(s)
      Yuta Sakai, Ken-ichi Iwata
    • Organizer
      電子情報通信学会第39回情報理論と その応用シンポジウム
    • Place of Presentation
      岐阜県高山市
    • Year and Date
      2016-12-13
    • Related Report
      2016 Annual Research Report
  • [Presentation] Extremal Relations Between Shannon Entropy and l_α-Norm2016

    • Author(s)
      Yuta Sakai, Ken-ichi Iwata
    • Organizer
      IEICE 2016 International Symposium on Information Theory and Its Applications (ISITA2016)
    • Place of Presentation
      Monterey, California, USA
    • Year and Date
      2016-10-30
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A Generalized Erasure Channel in the Sense of Polarization for Binary Erasure Channels2016

    • Author(s)
      Yuta Sakai, Ken-ichi Iwata
    • Organizer
      2016 IEEE Information Theory Workshop (ITW2016)
    • Place of Presentation
      Cambridge, United Kingdom
    • Year and Date
      2016-09-11
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 異なる位数での2つの条件付きRenyiエントロピー間の限界式2016

    • Author(s)
      阪井祐太,岩田賢一
    • Organizer
      電子情報通信学会情報理論研究会
    • Place of Presentation
      小樽経済センター
    • Year and Date
      2016-05-19
    • Related Report
      2015 Research-status Report
  • [Presentation] 条件付きShannonエントロピーとノルムの期待値との関係とその応用2016

    • Author(s)
      阪井祐太,岩田賢一
    • Organizer
      電子情報通信学会情報理論研究会
    • Place of Presentation
      電気通信大学
    • Year and Date
      2016-03-10
    • Related Report
      2015 Research-status Report
  • [Presentation] Speed-Up Method for Optimal Quantizations of Binary-Input Discrete Memoryless Channels with Monge Property2016

    • Author(s)
      Yuta Sakai, Ken-ichi Iwata
    • Organizer
      電子情報通信学会情報理論研究会
    • Place of Presentation
      佐賀県武雄市
    • Related Report
      2016 Annual Research Report
  • [Presentation] q元入力一般化消失通信路の多段分極によるPolar符号の構成と符号化および復号化2016

    • Author(s)
      木内智之, 阪井祐太, 岩田賢一
    • Organizer
      電子情報通信学会情報理論研究会
    • Place of Presentation
      佐賀県武雄市
    • Related Report
      2016 Annual Research Report
  • [Presentation] 法 q の演算に基づく Polar 変換の解析が容易な q 元入力離散無記憶通信路2015

    • Author(s)
      阪井祐太,岩田賢一
    • Organizer
      第38回情報理論とその応用シンポジウム予稿集
    • Place of Presentation
      岡山県児島市
    • Year and Date
      2015-11-24
    • Related Report
      2015 Research-status Report
  • [Presentation] 一様な入力分布の離散無記憶通信路に対する対称通信路容量とGallagerのE_0関数の値域2015

    • Author(s)
      阪井祐太,岩田賢一
    • Organizer
      電子情報通信学会情報理論研究会
    • Place of Presentation
      京都市国際交流会館
    • Year and Date
      2015-05-21 – 2015-05-22
    • Related Report
      2014 Research-status Report
  • [Presentation] 離散無記憶通信路に対して許容できる相互情報量の条件下で出力記号数を削減するアルゴリズム2015

    • Author(s)
      永原拓実,阪井祐太,岩田賢一
    • Organizer
      電子情報通信学会情報理論研究会
    • Place of Presentation
      北九州市立大学 ひびきのキャンパス
    • Year and Date
      2015-03-02 – 2015-03-03
    • Related Report
      2014 Research-status Report
  • [Presentation] 通信路入力が一様分布の3元入力離散無記憶通信路に対する対称通信路容量と信頼性関数の値域2015

    • Author(s)
      阪井祐太,岩田賢一
    • Organizer
      電子情報通信学会情報理論研究会
    • Place of Presentation
      東京大学フューチャーセンター1階大ホール
    • Year and Date
      2015-01-30
    • Related Report
      2014 Research-status Report
  • [Presentation] デュアルプロセッサーによる2元入力離散無記憶通信路の出力の量子化方法2014

    • Author(s)
      永原拓実,岩田賢一
    • Organizer
      電子情報通信学会基礎・境界ソサイエティ情報理論とその応用サブソサイエティ第37回情報理論とその応用シンポジウム
    • Place of Presentation
      宇奈月ニューオータニ
    • Year and Date
      2014-12-09 – 2014-12-12
    • Related Report
      2014 Research-status Report
  • [Presentation] 等しい通信路容量を有する3元入力無記憶対称通信路における信頼性関数の値域2014

    • Author(s)
      阪井祐太,岩田賢一
    • Organizer
      電子情報通信学会基礎・境界ソサイエティ情報理論とその応用サブソサイエティ第37回情報理論とその応用シンポジウム
    • Place of Presentation
      宇奈月ニューオータニ
    • Year and Date
      2014-12-09 – 2014-12-12
    • Related Report
      2014 Research-status Report
  • [Presentation] 離散無記憶通信路の出力に対する貪欲法による量子化について2014

    • Author(s)
      阪井祐太,岩田賢一
    • Organizer
      電子情報通信学会情報理論研究会
    • Place of Presentation
      神戸大学 六甲台第2キャンパス
    • Year and Date
      2014-07-17 – 2014-07-18
    • Related Report
      2014 Research-status Report
  • [Remarks] Extremal Relations Between Shannon Entropy ...

    • URL

      http://arxiv.org/abs/1601.07678

    • Related Report
      2015 Research-status Report
  • [Remarks] Relations Between Conditional Shannon Entropy ...

    • URL

      http://arxiv.org/abs/1602.04577

    • Related Report
      2015 Research-status Report
  • [Remarks] A Generalized Erasure Channel ...

    • URL

      http://arxiv.org/abs/1604.04413

    • Related Report
      2015 Research-status Report

URL: 

Published: 2014-04-04   Modified: 2018-03-22  

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