Skip to main content
Log in

New Approach to Estimation of the Decoding Error Probability

  • Published:
Problems of Information Transmission Aims and scope Submit manuscript

Abstract

We suggest a new approach to constructing a lower bound on the decoding error probability in a discrete memoryless channel at zero transmission rate. This approach considerably simplifies derivation of the bound, making it more natural, and simultaneously improves the remainder term of the estimate for the decoding error exponent.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. Shannon, T.E., Gallager, R.G., and Berlekamp, E.R., Lower Bounds to Error Probability for Coding on Discrete Memoryless Channels. I, II, Inf. Control, 1976, vol. 10, no. 1, pp. 65-103; no. 5, pp. 522-552.

    Google Scholar 

  2. Komlos, J., A Strange Pigeon-Hole Principle, Order, 1990, vol. 7, pp. 107-113.

    Google Scholar 

  3. Feller, W., An Introduction to Probability Theory and Its Applications, New York: Wiley, 1970, vol. 1, 3rd ed.; 1971, vol. 2, 2nd ed. Translated under the title Vvedenie v teoriyu veroyatnostej i ee prilozheniya, Moscow: Mir, 1984, 2 vols.

    Google Scholar 

  4. Blinovsky, V.M., Asymptotic Combinatorial Coding Theory, Boston: Kluwer, 1997.

    Google Scholar 

  5. Burnashev, M.V., On One Useful Inequality in Testing of Hypotheses, IEEE Trans. Inf. Theory, 1998, vol. 44, no. 4, pp. 1668-1670.

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Blinovsky, V.M. New Approach to Estimation of the Decoding Error Probability. Problems of Information Transmission 38, 16–19 (2002). https://doi.org/10.1023/A:1020034020985

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1020034020985

Keywords

Navigation