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An improvement to soft-decision iterative decoding algorithms for linear block codes

Research Project

Project/Area Number 12650391
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 情報通信工学
Research InstitutionHiroshima City University

Principal Investigator

KASAMI Tadao  Hiroshima City University, Information Sciences, Professor, 情報科学部, 教授 (50029378)

Co-Investigator(Kenkyū-buntansha) FUJIWARA Toru  Osaka University, Professor, 大学院・基礎工学研究科, 教授 (70190098)
TOKUSHIGE Hitoshi  Hiroshima City University, Information Sciences, Associate Researcher, 情報科学部, 助手 (50336921)
YOSHIDA Teruaki  Hiroshima City University, Information Sciences, Professor, 情報科学部, 教授 (50316139)
KAJI Yuichi  Nara Institute Science and Technology, Associate Professor, 情報科学研究科, 助教授 (70263431)
Project Period (FY) 2000 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 2001: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2000: ¥2,000,000 (Direct Cost: ¥2,000,000)
Keywordslinear block code / soft-decision decoding / ML decoding / Recursive ML decoding / iterative decoding / algebraic decoding
Research Abstract

1. We introduced "adaptive maximum likelihood decoding" (abbreviated as AMLD). In AMLD, the most likely local (MLL) sub-codeword in a section is constructed by concatenating the MLL sub-codewords in its subsection which are found adaptively. We implemented a prototype program for AMLD, and evaluated decoding complexity of AMLD for several RM codes and BCH codes. The average complexity is considerably smaller than those of conventional maximum likelihood decoding algorithms. It turns out that for codes with relatively large parameter, there exist singular received sequences which occur at extremely rare intervals, however, winch require very long steps to guaarantee the optimality. To reduce the complexity furthermore, we have devised an effective method which makes good use of adjacency relation between the MLL sub-codewords in adjacent subsections [1, 3, 5]. In addition, we have studied early termination conditions with no or almost no loss of error performance.
2. We have devised an e … More ffective method of selecting successive search centers around which bounded distance decoding is carried out in a soft-decision iterative decoding algorithm. In conventional soft-decision iterative decoding algorithms by using bounded distance decoding, such as Chase II decoding algorithm, the duplication of search region and the decoding failure of bounded distance decoding degrade the error performance. For several BCH codes of lengths 128 and 256, simulation results [2, 4] show that this new selection method improves the error performance considerably by reducing the above negative effect.
3. For concatenated coding scheme whose outer code is an interleaved (225, 223) RS code a good choice of its inner code is proposed. The low weight structures of the binary images of shortened (8, 5) RS codes over GF(28) are analyzed extensively. Consequently, we have found several more promising shortened RS codes as the inner code than the conventional codes [6].
* [x] refers to the x-th paper in the references. Less

Report

(3 results)
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • Research Products

    (26 results)

All Other

All Publications (26 results)

  • [Publications] Y.Kaji, T.Fujiwara, T.Kasami: "An Efficient Call-by-Need Algorithm for the Maximum Likelihood Decoding of a Linear Code"Proceedings of the 2000 International Symposium on Information Theory and Its Applications. 335-338 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.Tokushige, Y.Tang, T.Koumoto, T.Kasami: "An Improvement to Chase-like Decoding Algorithm"Proceedings of the 2000 International Symposium on Information Theory and Its Applications. 331-334 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.Kaji, H.Tokushige, T.Kasami: "An Improved Search Algorithm for the Adaptive and Recursive MLD Algorithm"Proceedings of the 2001 IEEE International Symposium on Information Theory. 334 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.Tokushige, K.Nakamaye, T.Koumoto, Y.Tang, T.Kasami: "Selection of Search Centers in Iterative Soft-decision Decoding Algorithms"IEICE Transactions Fundamentals. vol.E84-A, No.10. 2397-2403 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Kasami, H.Tokushige, Y.Kaji: "Sufficient Conditions on Most Likely Local Sub-Codewords in Recursive Maximum Likelihood Decodina Alaorithms"Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. LNCS2227. 333-342 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.Tokushige, T.Tanoue, T.Kasami: "On the Binary Images of (8, 5) Shortened Cyclic Codes over GF(2^8)"Proceeding of GOLOBECOM'01 IEEE Global Telecommunication Conference. 896-900 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y. Kaji, T. Fujiwara and T. Kasami,: "An Efficient Call-by-Need Algorithm for the. Maximum Likelihood Decoding of a Linear Code"Proceedings of the 2000 International Symposium on Information Theory and Its Apprications, Honolulu, HA USA. 335-338

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H. Tokushige, Y. Tang, T. Koumoto and T. Kasami,: "An Improvement to Chase-like Decoding Algorithm"Proceedings of the 2000 International Symposium on Information Theory and Its Applications, Honolulu, HA USA. 331-334

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y. Kaji, H. Tokushige and T. Kasami: "An Improved Search Algorithm for the Adaptive and Recursive MLD Algorithm"Proceedings of the 2001 IEEE International Symposium on Information Theory, Washington D.C., USA. 334

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H. Tokushige, K. Nakamaye, T. Koumoto, Y. Tang and T. Kasami: "Selection of Search Centers in Iterative Soft-decision Decoding Algorithms,"IEICE Trans, Fundamentals,. Vol.E8-A, No. 10. 2397-2403 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Kasami, H. Tokushige and Y. Kaji,: "Sufficient Conditions on Most Likely LocalI Sub-Codewords in Recursive Maximum Likelihood Decoding Algorithms"Proceedings of the, 14-th Symposium on Applied Algebra, Algorithms and Error-Correcting Codes, Melbourne, Australia, Lecture Notes in Computer Science, LNCS 2227. 333-342

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H. Tokushige, T. Tanoue and T. Kasami,: "On the Binary Images of (8, 5) Shortened Cyclic Codes over GF(2^8),"Proceeding of GOLOBECOM '01 IEEE Global Telecommunications Conference}, San Antonio, Texas,.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.Kaji, T.Fujiwara, T.Kasami: "An Efficient Call-by-Need Algorithm for the Maximum Likelihood Decoding of a Linear Code"Proceedings of the 2000 International Symposium on Information Theory and Its Applications. 335-338 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] H.Tokushige, Y.Tang, T.Koumoto, T.〜Kasami: "An Improvement to Chase-like Decoding Algorithm"Proceedings of the 2000 International Symposium on Information Theory and Its Applications. 331-334 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] Y.Kaji, H.Tokushige, T.Kasami: "An Improved Search Algorithm for the Adaptive and Recursive MLD Algorithm"Proceedings of the 2001 IEEE International Symposium on Information Theory. 334-334 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] H.Tokushige, K.Nakamaye, T.Koumoto, Y.Tang, T.Kasami: "Selection of Search Centers in Iterative Soft-decision Decoding Algorithms"IEICE Transactions Fundamentals. vol.E84-A, No.10. 2397-2403 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Kasami, H.Tokushige, Y.Kaji: "Sufficient Conditions on Most Likely Local Sub-Codewords in Recursive Maximum Likelihood Decoding Algorithms"Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. LNCS 2227. 333-342 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] H.Tokushige, T.Tanoue, T.Kasami: "On the binary images of (8, 5) shortened cyclic codes over GF(2^8)"Proceeding of GOLOBECOM '01 IEEE Global Telecommunications Conference. 896-900 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Tadao Kasami,Hitoshi Tokushige and Yuichi Kaji: "Search Procedures in Top-Down Recursive Maximum Likelihood Decoding Algorithm"第23回情報理論とその応用シンポジウム. 535-538 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 斉宮誠,石田敏行,揖勇一,嵩忠雄: "適応型RMLD法における探索戦略について"第23回情報理論とその応用シンポジウム. 539-542 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Yuichi Kaji,Toru Fujiwara and Tadao Kasami: "An Efficient Call-by-Need Algorithm for the Maximum Likelihood Decoding of a Linear Code"Proceedings of the 2000 International Symposium on Information Theory and Its Applications . 335-338 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Ryujiro Shibuya,Yuichi Kaji and Tadao Kasami: "An Efficient MAP Decoding Algorithm Using a Section Trellis Diagram"Proceedings of the 2000 IEEE International Symposium on Information Theory. 424-424 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Ryujiro Shibuya and Yuichi Kaji: "Optimum Sectionalization of a Trellis Diagram for the Hybrid MAP Algorithm"第23回情報理論とその応用シンポジウム. 255-258 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Yuichi kaji,Hitoshi Tokushige and Tadao Kasami: "An Improved Search Algorithm for the Adaptive and Recursive MLD"2001 IEEE International Symposium on Information Theory. (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Hitoshi Tokushige,Kentaro Nakamaye,Takuya Koumoto,Yuansheng Tang and Tadao Kasami: "Selection of Search Centers in Iterative Soft-decision Decoding Algorithms"第23回情報理論とその応用シンポジウム. 73-76 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Hitoshi Tokushige,Yuansheng Tang,Takuya Koumoto and Tadao Kasami: "An Improvement to Chase-like Decoding Algorithm"Proc.of the International Symposium on Information Theory and Its Applications. 331-334 (2000)

    • Related Report
      2000 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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