Distributed Space-Time Coding in Wireless Relay Networks

We apply the idea of space-time coding devised for multiple-antenna systems to the problem of communications over a wireless relay network with Rayleigh fading channels. We use a two-stage protocol, where in one stage the transmitter sends information and in the other, the relays encode their receiv...

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Bibliographic Details
Published in:IEEE transactions on wireless communications Vol. 5; no. 12; pp. 3524 - 3536
Main Authors: Jing, Y., Hassibi, B.
Format: Journal Article
Language:English
Published: Piscataway, NJ IEEE 01.12.2006
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Antennas
Applied sciences
Channels
Codes
Coding
Digital relays
Diversity methods
Exact sciences and technology
Fading
Networks
Pairwise error probability
Power system relaying
Protocols
Radiocommunications
Relay
Relay networks
Space time codes
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Transmission and modulation (techniques and equipments)
Transmitters
Transmitters. Receivers
Transmitting antennas
Wireless communication
Wireless networks
Fading channels
Space-time codes
Multistage method
Relay
Space-time coding
Error probability
Wireless telecommunication
multiple-antenna systems
Rayleigh channels
Transmitter
Rayleigh fading channels
Power allocation
Linear code
Optimal allocation
Transmitting antenna
Coding
Coherence
wireless relay networks
Antenna array
Signal to noise ratio
ISSN:1536-1276, 1558-2248
Online Access:Get full text
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Summary:We apply the idea of space-time coding devised for multiple-antenna systems to the problem of communications over a wireless relay network with Rayleigh fading channels. We use a two-stage protocol, where in one stage the transmitter sends information and in the other, the relays encode their received signals into a "distributed" linear dispersion (LD) code, and then transmit the coded signals to the receive node. We show that for high SNR, the pairwise error probability (PEP) behaves as (logP/P) min{TH} , with T the coherence interval, that is, the number of symbol periods during which the channels keep constant, R the number of relay nodes, and P the total transmit power. Thus, apart from the log P factor, the system has the same diversity as a multiple-antenna system with R transmit antennas, which is the same as assuming that the R relays can fully cooperate and have full knowledge of the transmitted signal. We further show that for a network with a large number of relays and a fixed total transmit power across the entire network, the optimal power allocation is for the transmitter to expend half the power and for the relays to collectively expend the other half. We also show that at low and high SNR, the coding gain is the same as that of a multiple-antenna system with R antennas. However, at intermediate SNR, it can be quite different, which has implications for the design of distributed space-time codes
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ISSN:1536-1276
1558-2248
DOI:10.1109/TWC.2006.256975