1971
DOI: 10.1017/s0001867800037605
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Three-terminal communication channels

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.

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Cited by 456 publications
(700 citation statements)
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“…The general relay channel model was introduced in 1971 by van der Meulen in [1,2]. In 1979, Cover and Gamal analysed 'Capacity theorems for the relay channel' [3] in great detail.…”
Section: Related Workmentioning
confidence: 99%
“…The general relay channel model was introduced in 1971 by van der Meulen in [1,2]. In 1979, Cover and Gamal analysed 'Capacity theorems for the relay channel' [3] in great detail.…”
Section: Related Workmentioning
confidence: 99%
“…From information theory research, the relay channel capacity was studied more than three decades ago in [18], and later considered by [19]. However, this capacity, which was intended for wired network, was derived based on the assumption that all nodes can transmit and receive simultaneously.…”
Section: Related Workmentioning
confidence: 99%
“…This is based on the truth that the source always need to spend much more power at Step 1 1 . Therefore, we can have the following description…”
Section: Step 2: Compensation Processmentioning
confidence: 99%
“…Since 1971, van der Mulen introduced the three-terminal relay channel [1], there has been already a significant research activity towards what is called cooperative communications. These have included the work on capacity theorem (e.g., [2]- [3]), relaying or cooperation protocols (e.g., [4]- [5]), diversity and multiplexing gain (e.g., [6]- [7]), etc.…”
Section: Introductionmentioning
confidence: 99%