Skip to main content

A weighted-output symbol-by-symbol decoding algorithm of binary convolutional codes

  • Decoding In Real Space
  • Conference paper
  • First Online:
  • 150 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 311))

Abstract

A weighted-output symbol-by-symbol soft-decision decoding algorithm for convolutional codes is described. Its main intended use concerns concatenation schemes. If a convolutional code is used as inner code, it makes soft-decision decoding of the outer code possible, which improves the overall error rate. This algorithm relies on Bayesian estimation. Its comparison with Battail algorithm using cross-entropy minimisation shows that the latter is a special case of the former.

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. G. FORNEY, Concatenated codes. Cambridge, Mass.: M.I.T. Press, 1966.

    Google Scholar 

  2. G.W. ZEOLI, "Coupled decoding of block-convolutional concatenated codes," Ph.D. dissertation, Dep. Elec. Eng., Univ. California, Los Angeles, 1971.

    Google Scholar 

  3. J.K. WOLF, "Efficient maximum likelihood decoding of linear block codes using a trellis," I.E.E.E. Trans. on I.T., Jan. 1978.

    Google Scholar 

  4. G. BATTAIL, "Décodage pondéré optimal des codes linéaires en blocs I," Annales des Télécommunications, Nov.-Déc. 1983.

    Google Scholar 

  5. C.R.P. HARTMANN and L.D. RUDOLPH, "An optimum Symbol-by-Symbol decoding rule for linear codes," I.E.E.E. Trans. on Inf. Theory, pp. 514–517, 1976.

    Google Scholar 

  6. G. BATTAIL et al., "Replication Decoding, I.E.E.E. Trans. on Inf. Theory, pp. 332–345, 1979.

    Google Scholar 

  7. L.D. RUDOLPH et al., "Algebraic Analog Decoding of linear binary codes," I.E.E.E. Trans. on Inf. Theory, pp. 430–440, 1979.

    Google Scholar 

  8. G.D. FORNEY, "Generalized minimum distance," I.E.E.E. Trans. on Information Theory

    Google Scholar 

  9. G. BATTAIL, "Weighting the symbols decoded by the Viterbi Algorithm," I.E.E.E. International Symposium on Information Theory, Oct. 1986.

    Google Scholar 

  10. G. BATTAIL, "Pondération des symboles décodés par l'algorithme de Viterbi," Annales des Télécommunications, to be published.

    Google Scholar 

  11. G. BATTAIL, "Weighted decoding as a means for reestimating a probability distribution," this issue.

    Google Scholar 

  12. J.E. SHORE and R.W. JOHNSON, "Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy," I.E.E.E. Trans. on Inf. Theory pp.26–37, 1980.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

G. Cohen P. Godlewski

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Belfiore, J.C. (1988). A weighted-output symbol-by-symbol decoding algorithm of binary convolutional codes. In: Cohen, G., Godlewski, P. (eds) Coding Theory and Applications. Coding Theory 1986. Lecture Notes in Computer Science, vol 311. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-19368-5_17

Download citation

  • DOI: https://doi.org/10.1007/3-540-19368-5_17

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19368-5

  • Online ISBN: 978-3-540-39243-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics