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Three-terminal communication channels

Published online by Cambridge University Press:  01 July 2016

Edward C. Van Der Meulen
Edward C. Van Der Meulen*
Affiliation:
University of Rochester
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Abstract

The problem of transmitting information in a specified direction over a communication channel with three terminals is considered. Examples are given of the various ways of sending information. Basic inequalities for average mutual information rates are obtained. A coding theorem and weak converse are proved and a necessary and sufficient condition for a positive capacity is derived. Upper and lower bounds on the capacity are obtained, which coincide for channels with symmetric structure.

Type
Research Article
Information
Advances in Applied Probability , Volume 3 , Issue 1 , Spring 1971 , pp. 120 - 154
Copyright
Copyright © Applied Probability Trust 1971 

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References

[1] Ash, R. B. (1965) Information Theory. Interscience, New York.Google Scholar
[2] Fano, R. M. (1952), (1954) Statistical theory of communication. Notes on a course given at the Massachusetts Institute of Technology.Google Scholar
[3] Feinstein, A. (1958) Foundations of Information Theory. McGraw Hill, New York.Google Scholar
[4] Shannon, C. E. (1948) A mathematical theory of communication. Bell Syst. Tech. J. 27, 379–423, 623–656.Google Scholar
[5] Shannon, C. E. (1958) Channels with side information at the transmitter. IBM J. Res. Develop. 2, 289–293.Google Scholar
[6] Shannon, C. E. (1961) Two-way communication channels. Proc. Fourth Berkeley Symp. Math. Statist. and Prob. 1, 611–644.Google Scholar
[7] Wolfowitz, J. (1964) Coding Theorems of Information Theory. Second ed. Springer-Verlag, New York.Google Scholar