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Arbitrarily Varying Channels with Worst Channels

  • Rudolf AhlswedeEmail author
Chapter
Part of the Foundations in Signal Processing, Communications and Networking book series (SIGNAL, volume 15)

Abstract

In this lecture we discuss a special kind of AVC’s, those which have a worst channel. That is, there is a channel \(W\in {\mathcal W}\) such that all its codes with \(\lambda \) error probability have \(\lambda \) error probability for \({\mathcal W}\). Therefore it is sufficient only to consider the coding problem of the worst channel.

References

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    R. Ahlswede, J. Wolfowitz, The capacity of a channel with arbitrarily varying channel probability functions and binary output alphabet. Z. Wahrscheinlichkeitstheorie Verw. Gebiete 15, 186–194 (1970)Google Scholar
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    C.E. Shannon, Probability of error in a Gaussian channel. Bell Syst. Ted. J. 38, 611–656 (1959)Google Scholar
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    J.H.B. Kemperman, On the optimum rate of transmitting information. Ann. Math. Stat. 40, 2156–2177 (1969)MathSciNetCrossRefGoogle Scholar
  4. 4.
    R. Ahlswede, The capacity of a channel with arbitrarily varying additive Gaussian channel probability functions, in Transactions of the Sixth Prague Conference Information Theory, Decision Functions, Random Process (1971), pp. 13–21Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.BielefeldGermany

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