• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Analysis on the codeword generating process of an arithmetic code and its application to source distribution transformer

Research Project

Project/Area Number 16560326
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Communication/Network engineering
Research InstitutionThe University of Electro-Comunicat ions

Principal Investigator

MORITA Hiroyoshi  The university of electro-communications, the graduate school of information systems, professor, 大学院情報システム学研究科, 教授 (80166420)

Co-Investigator(Kenkyū-buntansha) NISHIARA Mikihiko  The university of electro-communications, the graduate school of information systems, research associate, 大学院情報システム学研究科, 助手 (90333492)
Project Period (FY) 2004 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 2005: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2004: ¥1,200,000 (Direct Cost: ¥1,200,000)
Keywordsarithmetic code / distribution transformer / target distribution / prefix free code / realtime coding / delay / stochastic model / 情報源符号化 / 実時間伝送システム
Research Abstract

Throughout this project, we have obtained the following results on the codeword generating process of an arithmetic code.
2004-We evaluated theoretically, in the average sense, the redundancy included in a codeword generated by an arithmetic encoder. Moreover, we developed an algorithm to transform a sequence of information source symbols into another sequence with a given target distribution. This algorithm dissolve the following two practical problems that result from arithmetic codes:
1) when the decoding process halt.
2) how to reproduce exactly the original sequence from the transformed one.
2005-We considered the encoding/decoding processes for an information source that outputs symbols with a random interval and studied on the number of code symbols, that is, a fragment of a codeword, that an arithmetic encoder outputs at a unit time and the interval that it outputs them. From computer experiments, the interval of fragments can be modeled by geometric distribution while the length of each fragment has a different one. We observed the similar results in the decoder side. That is, the arithmetic decoder outputs a fragment of a codeword with a geometric distribution on its interval. However, our experiments showed that the length of fragment is neither individual nor geometrically distributed. Finally, we investigate the delay of the coding process and evaluated the probability distribution of the delay for a memoryless binary source.

Report

(3 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • Research Products

    (17 results)

All 2007 2006 2005 2004 Other

All Journal Article (17 results)

  • [Journal Article] 算術符号における符号語の生成過程の確率モデルについて2007

    • Author(s)
      西新 幹彦, 渡邊 大, 森田 啓義
    • Journal Title

      電子情報通信学会論文誌 (印刷中)

    • NAID

      110004788411

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Coding for Sources That Output Symbols According to Poisson Process2006

    • Author(s)
      Mikihiko Nishiarra
    • Journal Title

      IEICE Trans. on Fundamentals E89-A. 10

      Pages: 2906-2913

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Coding for sources that output symbols according to Poisson process2006

    • Author(s)
      Mikihiko Nishiara
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences Vol. E89-A, No. 10

      Pages: 2906-2913

    • NAID

      110007537770

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 算術符号における符号後の生成過程の確率モデルについて2006

    • Author(s)
      渡邊大, 西新幹彦, 森田啓義
    • Journal Title

      信学技報 IT2005-90

      Pages: 153-158

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 反辞書木情報源モデルを用いたデータ圧縮2006

    • Author(s)
      太田隆博, 森田啓義
    • Journal Title

      信学技報 IT2005-87

      Pages: 135-140

    • NAID

      110004788408

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A Tight Upper Bound on the Size of the Antidictionary of a Binary String2005

    • Author(s)
      Hiroyoshi Morita, Takahiro Ota
    • Journal Title

      Pro. of 2005 International Conference on Analysis of Algorithms. Discrete Mathematics and Theoretical Computer Science

      Pages: 393-398

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A Tight Upper Bound on the Size of the Antidictionary of a Binary String2005

    • Author(s)
      Hiroyoshi Morita, Takahiro Ota
    • Journal Title

      Proc. of 2005 International Conference on Analysis of Algorithms, Discrete Mathematics and Theoretical Computer Science

      Pages: 393-398

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 実時間基準の符号化における誤り確率と平均遅延の達成可能領域に関する考察2005

    • Author(s)
      西新幹彦
    • Journal Title

      第28回情報理論とその応用シンポジウム予稿集

      Pages: 403-406

    • NAID

      10016853771

    • Related Report
      2005 Annual Research Report
  • [Journal Article] On Source Conversion Using Arithmetic Codes2004

    • Author(s)
      Hiroyoshi Morita, Mamoru Hoshi, Kingo Kobayashi
    • Journal Title

      Pro. of Workshop on Concepts in Information Theory

      Pages: 13-15

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On Coding for Sources That Output the Symbols According to Poisson Process2004

    • Author(s)
      Mikihiko Nishiara
    • Journal Title

      Pro. of Intr'l Symp. of Inform. Theory and its Applications

      Pages: 764-768

    • NAID

      110007537770

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On Source Conversion Using Arithmetic Codes2004

    • Author(s)
      Hiroyoshi Morita, Mamoru Hoshi, Kingo Kobayashi
    • Journal Title

      Proc. of Workshop on Concepts in Information Theory Viarregio, Italy

      Pages: 13-15

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On Coding for Sources That Output the Symbols According to Poisson Process2004

    • Author(s)
      Mikihiko Nishiara
    • Journal Title

      Proc. of Intr'l Symp. of Inform. Theory and its Applications

      Pages: 764-768

    • NAID

      110007537770

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On Source Conversion Using Arithmetic Codes2004

    • Author(s)
      Hiroyoshi Morita, et al.
    • Journal Title

      Proceedings Workshop Concepts in Information Theory

      Pages: 13-15

    • Related Report
      2004 Annual Research Report
  • [Journal Article] An upper bound on size of antidictionary2004

    • Author(s)
      Hiroyoshi Morita, et al.
    • Journal Title

      第27回情報理論とその応用シンポジウム予稿集

      Pages: 647-650

    • Related Report
      2004 Annual Research Report
  • [Journal Article] アーラン到着に従ってシンボルを出力する情報源の符号化について2004

    • Author(s)
      西新 幹彦
    • Journal Title

      第27回情報理論とその応用シンポジウム予稿集

      Pages: 631-634

    • NAID

      10014281313

    • Related Report
      2004 Annual Research Report
  • [Journal Article] On Coding for Sources That Output the Symbols According to Poisson Process2004

    • Author(s)
      Mikihiko Nishihara
    • Journal Title

      Proc.International Symposium on Information Theory and its Application

      Pages: 764-768

    • Related Report
      2004 Annual Research Report
  • [Journal Article] On Stochastic Model for Generating Process of Codewords of Arithmetic Codes (in Japanese)

    • Author(s)
      Mikihiko Nishiara, Dai Watanabe, Hiroyoshi Morita
    • Journal Title

      Trans. on the Institute of Electronics, Information and Communication Engineers A (in printing)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary

URL: 

Published: 2004-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi