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

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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.

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Authors and Affiliations

  1. Blekinge Institute of Technology, Ronneby, 372 25, Sweden

    Trung Q. Duong

  2. Ministry of Posts and Telematics (MPT), Hanoi, Vietnam

    Ngoc-Tien Nguyen

  3. Heterogeneous Silicon Integration Department, CEA/LETI, Grenoble, France

    Trang Hoang

  4. University of Technology-Hanoi National University, Hanoi, Vietnam

    Viet-Kinh Nguyen

Authors
  1. Trung Q. Duong
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  2. Ngoc-Tien Nguyen
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  3. Trang Hoang
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  4. Viet-Kinh Nguyen
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Corresponding author

Correspondence to Trung Q. Duong.

Additional information

This paper was presented in part at the 7th International Symposium on Communications and Information Technologies, Sydney, Australia, Oct., 2007.

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Duong, T.Q., Nguyen, NT., Hoang, T. et al. Pairwise Error Probability of Distributed Space–Time Coding Employing Alamouti Scheme in Wireless Relays Networks. Wireless Pers Commun 51, 231–244 (2009). https://doi.org/10.1007/s11277-008-9640-9

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  • DOI: https://doi.org/10.1007/s11277-008-9640-9

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