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Capacity theorems for the relay channel

Thomas M. Cover, +1 more
- Vol. 80, pp 572-584
TLDR
An achievable lower bound to the capacity of the general relay channel is established and superposition block Markov encoding is used to show achievability of C, and converses are established.
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The article was published on 1979-09-01 and is currently open access. It has received 3918 citations till now. The article focuses on the topics: Relay channel & Channel capacity.

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Citations
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Journal ArticleDOI

Partial converse for a relay channel

TL;DR: A special case of the general discrete memoryless relay channel is studied, which consists of an input x, a relay output z, a channel output y, and a noiseless channel of capacity C/sub r/ allowing the relay sender to send additional information to the decoder.
Proceedings ArticleDOI

Distributed space-time coding for multihop networks

TL;DR: This work considers a distributed block Alamouti scheme, valid for frequency selective channels, where it takes explicitly into account the errors in the source-relay link and derives a closed form expression for the bit error rate in the simple case of BPSK transmission.
Journal ArticleDOI

Cooperative Relaying With State Available Noncausally at the Relay

TL;DR: In this paper, the authors considered a three-terminal state-dependent relay channel with the channel state noncausally available at only the relay, and derived lower and upper bounds on the capacity.
Journal ArticleDOI

MMSE-based joint source and relay precoding design for amplify-and-forward MIMO relay networks

TL;DR: Numerical results show that both the minimum mean-square (MSE) performance and the capacity achieved by the two proposed schemes improve with the increase in signal-to-noise- ratio (SNR).
Journal ArticleDOI

Improving the rates in wireless relay systems through superposition coding

TL;DR: It is demonstrated that the SC-relaying can be ported even to the case of uncoded systems, where it is shown how to select the transmission scheme in order to maximize the throughput between the source and the destination.
References
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Journal ArticleDOI

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TL;DR: A coding theorem and weak converse are proved and a necessary and sufficient condition for a positive capacity is derived and upper and lower bounds on the capacity are obtained, which coincide for channels with symmetric structure.
Journal ArticleDOI

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TL;DR: In Section H of the paper, a characterization of the capacity region for degraded broadcast channels (DBC's) is given, which was conjectured by Bergmans and is somewhat sharper than the one obtained by Gallager.
Journal ArticleDOI

A proof of the data compression theorem of Slepian and Wolf for ergodic sources (Corresp.)

TL;DR: It is established that the Slepian-Wolf theorem is true without change for arbitrary ergodic processes \{(X_i,Y_i)\}_{i=1}^{\infty} and countably infinite alphabets.
Journal ArticleDOI

On source coding with side information at the decoder

TL;DR: The characterization of the family of rate triples (R_0,R_1, R_2) for which this system can deliver essentially perfect reproductions of X and Y and the principal result is a characterization of this family via an information-theoretic minimization.
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