Pairwise Error Probability of Distributed Space–Time Coding Employing Alamouti Scheme in Wireless Relays Networks

In this paper, we analyze the pairwise error probability (PEP) of distributed space–time codes, in which the source and the relay generate Alamouti space–time code in a distributed fashion. We restrict our attention to the space–time code construction for Protocol III in Nabar et al. (IEEE Journal o...

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Veröffentlicht in:	Wireless personal communications Jg. 51; H. 2; S. 231 - 244
Hauptverfasser:	Duong, Trung Q., Nguyen, Ngoc-Tien, Hoang, Trang, Nguyen, Viet-Kinh
Format:	Journal Article Tagungsbericht
Sprache:	Englisch
Veröffentlicht:	Boston Springer US 01.10.2009 Springer
Schlagworte:	Antennas Applied sciences Communications Engineering Computer Communication Networks Distributed space-time codes Engineering Exact sciences and technology Networks pairwise error probability (PEP) Radiocommunications relay channels Signal,Image and Speech Processing Telecommunications Telecommunications and information theory Relay channels Distributed space–time codes Pairwise error probability (PEP) Monte Carlo method Space-time codes Relay Error probability Wireless telecommunication Diversity Distributed space-time codes Upper bound Relay channel Trigonometric function Wireless network Numerical simulation Antenna
ISSN:	0929-6212, 1572-834X, 1572-834X
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Abstract	In this paper, we analyze the pairwise error probability (PEP) of distributed space–time codes, in which the source and the relay generate Alamouti space–time code in a distributed fashion. We restrict our attention to the space–time code construction for Protocol III in Nabar et al. (IEEE Journal on Selected Areas Communications 22(6): 1099–1109, 2004). In particular, we derive two closed-form approximations for PEP when the relay is either close to the destination or source and an upper bound for any position of the relay. Using the alternative definition of Q -function, we can express these PEPs in terms of finite integral whose integrand is composed of trigonometric functions. We further show that with only one relay assisted source-destination link, system still achieves diversity order of two, assuming single-antenna terminals. We also perform Monte-Carlo simulations to verify the analysis.
AbstractList	In this paper, we analyze the pairwise error probability (PEP) of distributed space–time codes, in which the source and the relay generate Alamouti space–time code in a distributed fashion. We restrict our attention to the space–time code construction for Protocol III in Nabar et al. (IEEE Journal on Selected Areas Communications 22(6): 1099–1109, 2004). In particular, we derive two closed-form approximations for PEP when the relay is either close to the destination or source and an upper bound for any position of the relay. Using the alternative definition of Q -function, we can express these PEPs in terms of finite integral whose integrand is composed of trigonometric functions. We further show that with only one relay assisted source-destination link, system still achieves diversity order of two, assuming single-antenna terminals. We also perform Monte-Carlo simulations to verify the analysis. In this paper, we analyze the pairwise error probability (PEP) of distributed space-time codes, in which the source and the relay generate Alamouti space--time code in a distributed fashion. We restrict our attention to the space-time code construction for Protocol III in [1]. In particular, we derive two closed-form approximations for PEP when the relay is either close to the destination or source and an upper bound for any position of the relay. Using the alternative definition of $Q$-function, we can express these PEPs in terms of finite integral whose integrand is composed of trigonometric functions. We further show that with only one relay assisted source-destination link, system still achieves diversity order of two, assuming single-antenna terminals. We also perform Monte-Carlo simulations to verify the analysis.
Author	Duong, Trung Q. Hoang, Trang Nguyen, Ngoc-Tien Nguyen, Viet-Kinh
Author_xml	– sequence: 1 givenname: Trung Q. surname: Duong fullname: Duong, Trung Q. email: quang.trung.duong@bth.se organization: Blekinge Institute of Technology – sequence: 2 givenname: Ngoc-Tien surname: Nguyen fullname: Nguyen, Ngoc-Tien organization: Ministry of Posts and Telematics (MPT) – sequence: 3 givenname: Trang surname: Hoang fullname: Hoang, Trang organization: Heterogeneous Silicon Integration Department, CEA/LETI – sequence: 4 givenname: Viet-Kinh surname: Nguyen fullname: Nguyen, Viet-Kinh organization: University of Technology-Hanoi National University
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Keywords	Relay channels Distributed space–time codes Pairwise error probability (PEP) Monte Carlo method Space-time codes Relay Error probability Wireless telecommunication Diversity Distributed space-time codes Upper bound Relay channel Trigonometric function Wireless network Numerical simulation Antenna
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References_xml	– volume: 16 start-page: 1451 issue: 8 year: 1998 end-page: 1458 ident: CR15 article-title: A simple transmit diversity technique for wireless communications publication-title: IEEE Journal on Selected Areas Communications doi: 10.1109/49.730453 – volume: 22 start-page: 1099 issue: 6 year: 2004 end-page: 1109 ident: CR1 article-title: Fading relay channels: Performance limits and space–time signal design publication-title: IEEE Journal on Selected Areas Communications doi: 10.1109/JSAC.2004.830922 – volume: 51 start-page: 1939 issue: 11 year: 2003 end-page: 1948 ident: CR7 article-title: User cooperation diversity—Part II: Implementation aspects and performance analysis publication-title: IEEE Transactions on Communications doi: 10.1109/TCOMM.2003.819238 – ident: CR14 – volume: 50 start-page: 3062 issue: 12 year: 2004 end-page: 3080 ident: CR8 article-title: Cooperative diversity in wireless networks: Efficient protocols and outage behavior publication-title: IEEE 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Snippet	In this paper, we analyze the pairwise error probability (PEP) of distributed space–time codes, in which the source and the relay generate Alamouti space–time... In this paper, we analyze the pairwise error probability (PEP) of distributed space-time codes, in which the source and the relay generate Alamouti space--time...
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SubjectTerms	Antennas Applied sciences Communications Engineering Computer Communication Networks Distributed space-time codes Engineering Exact sciences and technology Networks pairwise error probability (PEP) Radiocommunications relay channels Signal,Image and Speech Processing Telecommunications Telecommunications and information theory
Title	Pairwise Error Probability of Distributed Space–Time Coding Employing Alamouti Scheme in Wireless Relays Networks
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