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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Vydáno v:	IEEE transactions on wireless communications Ročník 5; číslo 12; s. 3524 - 3536
Hlavní autoři:	Jing, Y., Hassibi, B.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Piscataway, NJ IEEE 01.12.2006 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:	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
On-line přístup:	Získat plný text
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Abstract	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
AbstractList	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) super(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 [...] 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 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
Author	Hassibi, B. Jing, Y.
Author_xml	– sequence: 1 givenname: Y. surname: Jing fullname: Jing, Y. organization: California Univ., Irvine, CA – sequence: 2 givenname: B. surname: Hassibi fullname: Hassibi, B.
BackLink	http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=18371324$$DView record in Pascal Francis
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Cites_doi	10.1002/ett.4460100604 10.1109/TIT.2003.817829 10.1109/ACSSC.2003.1292284 10.1109/INFCOM.2002.1019409 10.1109/ACSSC.2003.1292068 10.1002/bltj.2015 10.1109/18.661517 10.1109/TIT.2006.876245 10.1109/JSAC.2004.830922 10.1109/18.825818 10.1109/TCOMM.2003.818096 10.1109/TIT.2002.1013127 10.1109/ICASSP.2002.5744897 10.1109/18.746779 10.1109/TIT.2002.1003836
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Keywords	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
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References	ref13 ref12 ref15 ref14 damen (ref17) 2000 ref22 chang (ref11) 2003 gradshteyn (ref20) 2000 trees (ref23) 1968 jing (ref21) 2004 ref2 ref1 ref16 hua (ref10) 2003 ref18 tang (ref7) 2001; 2 ref8 ref9 ref4 ref3 ref6 ref5 evans (ref19) 1993
References_xml	– year: 2000 ident: ref20 publication-title: Table of Integrals Series and Products – ident: ref1 doi: 10.1002/ett.4460100604 – ident: ref8 doi: 10.1109/TIT.2003.817829 – year: 2003 ident: ref10 article-title: Wireless antennas-making wireless communications perform like wireline communications publication-title: IEEE AP-S Topical Conf Wireless Communication Technology – ident: ref16 doi: 10.1109/ACSSC.2003.1292284 – year: 2000 ident: ref17 article-title: Further results on the sphere decoder algorithm publication-title: IEEE Trans Inform Theory – year: 1993 ident: ref19 publication-title: Statistical Distributions – ident: ref14 doi: 10.1109/INFCOM.2002.1019409 – year: 2003 ident: ref11 article-title: Application of space-time linear block codes to parallel wireless relays in mobile ad hoc networks publication-title: Asilomar Conf Signals Systems and Computers doi: 10.1109/ACSSC.2003.1292068 – ident: ref3 doi: 10.1002/bltj.2015 – year: 1968 ident: ref23 publication-title: Detection Estimation and Modulation Theory - Part 1 – ident: ref4 doi: 10.1109/18.661517 – ident: ref15 doi: 10.1109/TIT.2006.876245 – volume: 2 start-page: 1435 year: 2001 ident: ref7 article-title: Coded transmit macrodiversity: block space-time codes over distributed antennas publication-title: IEEE Veh Technol Conf – ident: ref9 doi: 10.1109/JSAC.2004.830922 – ident: ref13 doi: 10.1109/18.825818 – ident: ref6 doi: 10.1109/TCOMM.2003.818096 – year: 2004 ident: ref21 publication-title: Distributed space-time coding in wireless relay networks?Technical report – ident: ref5 doi: 10.1109/TCOMM.2003.818096 – ident: ref12 doi: 10.1109/TIT.2002.1013127 – ident: ref18 doi: 10.1109/ICASSP.2002.5744897 – ident: ref2 doi: 10.1109/18.746779 – ident: ref22 doi: 10.1109/TIT.2002.1003836
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Snippet	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... [...] 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...
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SubjectTerms	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
Title	Distributed Space-Time Coding in Wireless Relay Networks
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