Methods for evaluating error correcting codes based on a compound channel model

Since error correcting and detecting codes are used in many fields, the assessment of the code performance in actual communication environments is an important subject. A communication channel is expressed by a statistical model and the assessment is usually done by simulation and/or analysis method...

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Published inElectronics & communications in Japan. Part 1, Communications Vol. 69; no. 7; pp. 10 - 17
Main Authors Suematsu, Toshinari, Imai, Hideki
Format Journal Article
LanguageEnglish
Published New York Wiley Subscription Services, Inc., A Wiley Company 1986
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ISSN8756-6621
1520-6424
DOI10.1002/ecja.4410690702

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Abstract Since error correcting and detecting codes are used in many fields, the assessment of the code performance in actual communication environments is an important subject. A communication channel is expressed by a statistical model and the assessment is usually done by simulation and/or analysis method. However, conventional assessment methods are insufficient from the viewpoint of ease of handling, precision, etc. In this paper we present new methods for evaluating error‐correcting and error‐detecting codes. These evaluations make use of a new compound channel model which represents actual channels better than the channel models proposed previously. An exact analysis is used for computing the performances of codes. For these reasons, we can obtain reliable results. The time required for the evaluation is relatively small. Furthermore, their adaptability to various channels and codes is high and they are easy to use. Methods of evaluating the double encoding scheme, a well‐known scheme in CIRC, is also presented. Finally, some examples of evaluating codes by these methods are presented and their effectiveness is shown.
AbstractList Since error correcting and detecting codes are used in many fields, the assessment of the code performance in actual communication environments is an important subject. A communication channel is expressed by a statistical model and the assessment is usually done by simulation and/or analysis method. However, conventional assessment methods are insufficient from the viewpoint of ease of handling, precision, etc. In this paper we present new methods for evaluating error‐correcting and error‐detecting codes. These evaluations make use of a new compound channel model which represents actual channels better than the channel models proposed previously. An exact analysis is used for computing the performances of codes. For these reasons, we can obtain reliable results. The time required for the evaluation is relatively small. Furthermore, their adaptability to various channels and codes is high and they are easy to use. Methods of evaluating the double encoding scheme, a well‐known scheme in CIRC, is also presented. Finally, some examples of evaluating codes by these methods are presented and their effectiveness is shown.
Author Suematsu, Toshinari
Imai, Hideki
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References Imai and Yashiro, Decoding method for doubly encoded Reed-Solomon codes and their error probabilities, Trans. I. E. C. E., Japan, J66-A, 9, pp. 828-835 (Sept. 1983).
Suzuki and Imai, An error-correcting method for DAT and its performances, Trans. I. E. C. E., Japan, J67-A, 4, pp. 344-350 (Apr. 1984).
Suematsu and Imai, Two new models of compound channels and their modeling methods, Technical Paper I. E. C. E., Japan, TGIT84-25 (July 1984).
Suematsu and Imai, Methods for evaluating error correcting codes based on compound channel model, Technical Paper I. E. C. E., Japan, TGIT84-26 (July 1984).
Sako, Odaka and Furuya. On the performance of CIRC (error-correcting code for CD system), Technical Paper, I. E. C. E., Japan, TGIT82-12 (May 1982).
E. N. Gilbert. Capacity of a burst-noise channel, Bell Syst. Tech. J., 39, pp. 1253-1265 (Sept. 1960).
1984; J67‐A
1983
1982
1984; TGIT84–26
1983; J66‐A
1984; TGIT84–25
1960; 39
1982; TGIT82–12
Suematsu (e_1_2_1_5_2) 1984; 84
Sako (e_1_2_1_9_2) 1982; 82
e_1_2_1_4_2
e_1_2_1_2_2
Imai (e_1_2_1_7_2) 1983; 66
Suematsu (e_1_2_1_6_2) 1984; 84
Suzuki (e_1_2_1_3_2) 1984; 67
e_1_2_1_8_2
References_xml – reference: Suematsu and Imai, Two new models of compound channels and their modeling methods, Technical Paper I. E. C. E., Japan, TGIT84-25 (July 1984).
– reference: Suzuki and Imai, An error-correcting method for DAT and its performances, Trans. I. E. C. E., Japan, J67-A, 4, pp. 344-350 (Apr. 1984).
– reference: Suematsu and Imai, Methods for evaluating error correcting codes based on compound channel model, Technical Paper I. E. C. E., Japan, TGIT84-26 (July 1984).
– reference: Sako, Odaka and Furuya. On the performance of CIRC (error-correcting code for CD system), Technical Paper, I. E. C. E., Japan, TGIT82-12 (May 1982).
– reference: E. N. Gilbert. Capacity of a burst-noise channel, Bell Syst. Tech. J., 39, pp. 1253-1265 (Sept. 1960).
– reference: Imai and Yashiro, Decoding method for doubly encoded Reed-Solomon codes and their error probabilities, Trans. I. E. C. E., Japan, J66-A, 9, pp. 828-835 (Sept. 1983).
– start-page: 328
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  article-title: On the performance of CIRC (error‐correcting code for CD system)
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  year: 1984
  end-page: 350
  article-title: An error‐correcting method for DAT and its performances
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  article-title: Methods for evaluating error correcting codes based on compound channel model
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  article-title: Decoding method for doubly encoded Reed‐Solomon codes and their error probabilities
  publication-title: Trans. I. E. C. E., Japan
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  article-title: Capacity of a burst‐noise channel
  publication-title: Bell Syst. Tech. J.
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  article-title: Two new models of compound channels and their modeling methods
  publication-title: Technical Paper I. E. C. E., Japan
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  doi: 10.1002/j.1538-7305.1960.tb03959.x
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  article-title: On the performance of CIRC (error‐correcting code for CD system)
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  article-title: Two new models of compound channels and their modeling methods
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  article-title: Methods for evaluating error correcting codes based on compound channel model
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