Skip to main content

Sequential decoding on intersymbol interference channels under the Pe-criterion

  • Decoding Techniques
  • Conference paper
  • First Online:
Information Theory and Applications (ITA 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 793))

Included in the following conference series:

  • 165 Accesses

Abstract

The Pe-criterion is a recent analysis of sequential decoding of tree codes based on the design condition that the decoder must achieve a set error probability Pe. This work extends the criterion to channels with intersymbol interference (ISI), assuming binary random coding, and both hard and soft decision decoding. The result is a definite boundary for the tree search region and a well defined estimate of path numbers searched. Comparisons among the channels show the influence of ISI in the decoding process. We show how ISI increases the search region and number of paths searched as compared to memoryless channels. Furthermore, we show that the use of soft decisions may not only result in large savings as compared to hard decisions, but indeed be the key to assure feasibility of the limited search decoder.

Supported by CNPq — Conselho Nacional de Desenvolvimento Científico e Tecnológico, Brazil

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Anderson, J. B.: Sequential decoding based on an error criterion. IEEE Trans. on Info. Theory, IT-38 (1992), 987–1001.

    Google Scholar 

  2. Anderson J. B., Jelinek, F.: A 2-cycle algorithm for source coding with a fidelity criterion. IEEE Trans. on Info. Theory, IT-19 (1973), 77–92.

    Google Scholar 

  3. Forney, G. D.: Maximum-likelihood sequence estimation of digital sequences in the presence of intersymbol interference. IEEE Trans. on Info. Theory, IT-18 (1972), 363–78.

    Google Scholar 

  4. Gallager, R. G.: Information theory and reliable communication (1968), John Wiley & Sons Inc., New York.

    Google Scholar 

  5. Markman, I., Anderson, J. B.: Sequential decoding on memoryless soft decision channels under the Pe-criterion. Proceedings of the 1993 IEEE International Symposium on Information Theory (1993), San Antonio, TX.

    Google Scholar 

  6. Markman, I.: Sequential decoding on channels with and without memory under a probability of error criterion”. Ph.D. Thesis (1993), ECSE Dept., Rensselaer Polytechnic Institute, Troy, NY.

    Google Scholar 

  7. Smith, B. T. et al.: Matrix eigensystem routines — EISPACK GUIDE. Lecture Notes in Computer Science, 6 (1976), 2nd edition, Springer-Verlag, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

T. Aaron Gulliver Norman P. Secord

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Markman, I., Anderson, J.B. (1994). Sequential decoding on intersymbol interference channels under the Pe-criterion. In: Gulliver, T.A., Secord, N.P. (eds) Information Theory and Applications. ITA 1993. Lecture Notes in Computer Science, vol 793. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57936-2_40

Download citation

  • DOI: https://doi.org/10.1007/3-540-57936-2_40

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57936-6

  • Online ISBN: 978-3-540-48392-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics