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.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
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)
C.E. Shannon, Probability of error in a Gaussian channel. Bell Syst. Ted. J. 38, 611–656 (1959)
J.H.B. Kemperman, On the optimum rate of transmitting information. Ann. Math. Stat. 40, 2156–2177 (1969)
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. 13–21
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Ahlswede, R. (2019). Arbitrarily Varying Channels with Worst Channels. In: Ahlswede, A., Althöfer, I., Deppe, C., Tamm, U. (eds) Probabilistic Methods and Distributed Information. Foundations in Signal Processing, Communications and Networking, vol 15. Springer, Cham. https://doi.org/10.1007/978-3-030-00312-8_4
Download citation
DOI: https://doi.org/10.1007/978-3-030-00312-8_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-00310-4
Online ISBN: 978-3-030-00312-8
eBook Packages: EngineeringEngineering (R0)