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Recursive Suboptimal Decoding Algorithm for Binary Linear Black Codes

Research Project

Project/Area Number 10650363
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, Faculty of Information Sciences, Professor, 情報科学部, 教授 (50029378)

Co-Investigator(Kenkyū-buntansha) FUJIWARA Toru  Osaka University, Graduate School of Engineering Science, Professor, 大学院・基礎工学研究科, 教授 (70190098)
Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 1999: ¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 1998: ¥800,000 (Direct Cost: ¥800,000)
Keywordsbinary linear code / suboptimum decoding / complexity of decoding / cosets / weight distribution / quantization level / 2元線形符号
Research Abstract

1. A soft-decision decoding algorithm is derived by approximating some computations in the recursive maximum likelihood decoding (RMLD) algorithm. In the RMLD algorithm, the most likely code vector is computed by constructing tables of most likely local vectors in a divide-and conquer manner. In the proposed suboptimum algorithm, vectors in the tables are pruned according to a certain criteria. The relation among the criteria of pruning, error performance and the decoding complexity is analyzed. A simulation result for the third order Reed-Muller code of length 64 shows that we can realize a suboptimum decoder which achieves almost the same error performance as an ML decoder and costs only one-fourth decoding complexity compared to the RMLD algorithm [1,2].
2. The original RMLD is not adaptive to signal-to-noise (SN) ratios. In RMLD, every most likely local vectors are computed in bottom-up way. We propose a new version of RMLD which is very adaptive to SN-ratios by introducing "lazy evaluation" in a top-down way. That is, most likely local vectors are computed when it is required for the first time. These computation can be efficiently carried out by using parity check matrices of certain local subcodes of the entire code [3,4]. For several Reed-Muller codes and extended permuted BCH codes, simulation results show remarkable reduction of time and space complexity of decoding.
3. The weight distribution of coset leaders of cosets with respect to a local subcode provides primary information on how to prune an insignificant subtables for most likely local vectors. A new relatively efficient algorithm for computing the weight distribution of coset leaders of binary linear block codes is proposed [5].
4. The quantization levels for received sequences and the accuracy of the metric computation have effect on the probability of decoding error and the complexity of decoding circuits. A detailed case study of RMLD decoder for a (64, 35) Reed-Muller subcode has been done [6].

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (20 results)

All Other

All Publications (20 results)

  • [Publications] Y. Kaji, E. Kasai, Y. Fujiwara, T. Kasami: "Suboptimum Decoding Based on the Recursive Maximum Likelihood Decoding Algorithm"Proc. of the Fifth International Symposium on Communication Theory and Applications. 5-6 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. Kaji, T. Fujiwara, T. Kasami: "The Error Performance and Complexity of a Suboptimum Realization of the RMLD Algorithm"Proc. of 1999 Symposium on Information Theory and Applications. 311-314 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 嵩 忠雄,楫 勇一: "[招待論文]2元線形ブロック符合の再帰的軟判定復号法について"電子情報通信学会技術研究報告. IT99-700. 1-7 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. Kaji, T. Fujiwara, T. Kasami: "The Maximum Likelihood Decoding of a Linear Code Using Local Parity Check Matrices"電子情報通信学会技術研究報告. IT99-700. 57-62 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Maeda, T. Fujiwara: "An Alogrithm for Computing Weight Distribution of Coset Leaders of Binary Linear Block Codes"Proc. of 2000 IEEE International Symposium on Information Theory. (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. Kanamaru, H. Yamamoto, T. Fujiwara: "On the Quantization Level and the Accuracy of the Metric Computation for Recursive Maximum Likelihood Decoding of a (64,35) Reed-Muller Subcode"Proc. of 1998 International Symposium of Information Theory and Its Applications. 539-542 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. Kaji, E. Kasai, T. Fujiwara and T. Kasami: "Suboptimum decoding Based on the Recursive Maximum Likelihood Decoding Algorithm"Proc. of the Fifth International Symposium on Communication Theory and Applications, ISCTA, Ambleside, U.K.. 5-6 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. Kaji, T. Fujiwara and T. Kasami: "The Error Performance and Complexity of a Suboptimum Realization of the RMLD Algorithm"Proc. of 1999 Symposium on Information Theory and Applications. 311-314 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Kasami and Y. Kaji: "Soft-decision Recursive Decoding for Binary Linear Block Codes"Technical Report of IEICE, IT-99. No.700 (Invited Paper). 1-7 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. Kaji, T. fujiwara and T. Kasami: "The maximum Likelihood decoding of a Linear Code Using Local Parity Check Matrices"Technical Report of IEICE, IT-99. No.700. 57-62 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Maeda and T. Fujiwara: "An Algorithm for Computing Weight Distribution of Coset Leaders of Binary Linear Block Codes"Proc. of 2000 IEEE International Symposium on Information theory. (To Appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. Kanamaru, H. Yamamoto and T. Fujiwara: "On the Quantization Level and the Accuracy of the Metric Computation for Recursive Maximum Likelihood Decoding of a (64, 35) Reed-Muller Subcode"Proc. of 1998 International Symposium on Information Theory and Its Applications. 539-542 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y.Kaji,E.Kasai,T.Fujiwara,T.Kasami: "Suboptimum Decoding Based on the Recursive Maximum Likelihood Decoding Algorithm"Proc.of the Fifth International Symposium on Communication Theory and Applications. 5-6 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y.Kaji,T.Fujiwara,T.Kasami: "The Error Performance and Complexity of a Suboptimum Realization of the RMLD Algorithm"Proc.of 1999 Symposium on Information Theory and Applications. 311-314 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y.Kaji,T.Fujiwara,T.Kasami: "The Maximum Likelihood Decoding of a Linear Using Local Parity Check Matrices"電子情報通信学会技術研究報告. IT99. (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 嵩忠雄,楫勇一: "〔招待論文〕2元線形ブロック符号の再帰的軟判定復号法について"電子情報通信学会技術研究報告. IT99. (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Maeda,T.Fujiwara: "An Algorithm for Computing Weight Distribution of Coset Leaders of Binary Linear Block Codes"Proc.of 2000 IEEE International Symposium on Information Theory. (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 河西,楫,崇: "再帰的再尤復号法における受信系列の統計的振舞いについて" 電子情報通信学会技術研究報告. IT98-24. (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Y.Kanamaru,H.Yamamoto,T.Fujiwara: "On the Quantization Level and the Accuracy of the Metric Computation for Recursive Maximum Likelihood Decoder of a(64,35)Reed-Muller Subcode" Proc.of 1998 International Symposium on Information Theory and Its Applications. 94-97 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 河西,楫,藤原,崇: "再帰的再尤復号法に基づく準最尤復号法" 第21回情報理論とその応用シンポジウム予稿集. 539-542 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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