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.

Keywords

ConverseMathematicsChannel capacityMutual informationTerminal (telecommunication)Channel (broadcasting)Upper and lower boundsCoding (social sciences)Information theoryDiscrete mathematicsTopology (electrical circuits)CombinatoricsMathematical analysisComputer networkStatisticsGeometryComputer science

Affiliated Institutions

Related Publications

Publication Info

Year
1971
Type
article
Volume
3
Issue
1
Pages
120-154
Citations
1519
Access
Closed

External Links

Social Impact

Altmetric

Social media, news, blog, policy document mentions

Citation Metrics

1519
OpenAlex

Cite This

Edward C. van der Meulen (1971). Three-terminal communication channels. Advances in Applied Probability , 3 (1) , 120-154. https://doi.org/10.2307/1426331

Identifiers

DOI
10.2307/1426331