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Outage Probability of Dual-Hop MIMO Relay Systems with Direct Links

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Future Access Enablers for Ubiquitous and Intelligent Infrastructures (FABULOUS 2015)

Abstract

In this paper we present approximations of the outage probability for an amplify-and-forward MIMO relaying system with three nodes, which employs multiple antennas at the nodes and orthogonal space-time block coding (OSTBC) transmission over a flat Rayleigh fading. In the amplify-and-forward relay, the incoming signal is decoupled, amplified and forwarded to the destination. Under assumption of availability of full channel state information at the relay and destination and availability of direct link between the source and destination we derived expression for approximation of the outage probability which is sufficiently accurate in the entire SNR range of practical interest. The results obtained by this approximation are compared with the approximations for outage probability of the system without direct link to the destination.

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References

  1. Sendonaris, A., Erkip, E., Aazhang, B.: User cooperation diversity Part I and Part II. IEEE Trans. Commun. 51(11), 1927–1948 (2003)

    Article  Google Scholar 

  2. Lee, I.-H., Kim, D.: Decouple-and-forward relaying for dual-hop alamouti transmissions. IEEE Commun. Lett. 12(2), 97–99 (2008)

    Article  Google Scholar 

  3. Stosic, J., Hadzi-Velkov, Z.: Simple tight approximations of the error performance for dual-hop MIMO relay systems in Rayleigh fading. AEU Int. J. Electr. Commun. 67(10), 854–960 (2013)

    Article  Google Scholar 

  4. Stosic, J., Hadzi-Velkov, Z.: Outage probability approximations for dual-hop amplify-and-forward MIMO relay systems in Rayleigh fading. In: Proceedings of 11th International Conference on Telecommunication in Modern Satellite, Cable and Broadcasting Services (TELSIKS 2013), Nis, Serbia (2013)

    Google Scholar 

  5. Stosic, J., Hadzi-Velkov, Z.: Performance analysis of dual-hop MIMO systems. In: Proceedings of 2nd Conference on Information and Communication Technologies’ Innovations (ICT Innovations 2010), Ohrid, Macedonia (2010)

    Google Scholar 

  6. Stosic, J., Hadzi-Velkov, Z.: Performance analysis of dual-hop dual-antennas MIMO systems in Rayleigh fading. In: Proceedings of 2nd International Congress on Ultra Modern Telecommunications and Control Systems (ICUMT 2010), Moscow, Russia (2010)

    Google Scholar 

  7. Stosic, J., Hadzi-Velkov, Z.: Approximate performance analysis of dual-hop decouple-and-forward MIMO relaying. In: Proceedings of 11th International Conference on Electronics, Telecommunications, Automation and Informatics, Macedonia (2013)

    Google Scholar 

  8. Jafarkhani, H.: Space Time Coding Theory and Practice. Cambridge University Press, Cambridge (2005)

    Book  MATH  Google Scholar 

  9. Tarokh, V., Jafarkhani, H., Calderbank, A.R.: Space-time block codes from orthogonal designs. IEEE Trans. Inf. Theor. 45(5), 1456–1467 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  10. Cover, T.M., Gamal, A.E.: Capacity theorem for the relay channels. IEEE Trans. Inf. Theor. 25(5), 527–584 (1979)

    Article  MathSciNet  Google Scholar 

  11. Gamal, A.E., Kim, Y.-H.: Network Information Theory. Cambridge University Press, Cambridge (2011)

    Book  MATH  Google Scholar 

  12. Hasna, M.O., Alouini, M.S.: A performance study of dual-hop transmissions with fixed gain relays. IEEE Trans. Wirel. Commun. 3(6), 1963–1968 (2004)

    Article  Google Scholar 

  13. Simon, M.K., Alouini, M.S.: Digital Communication Over Fading Channels, 2nd edn. Wiley, New York (2005)

    Google Scholar 

  14. Gradshteyn, I.S., Ryzhik, I.M.: Table of Integrals, Series, and Products, 6th edn. Academic Press, Burlington (2000)

    MATH  Google Scholar 

  15. Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th edn. Dover, New York (1970)

    MATH  Google Scholar 

  16. Moschopoulos, P.G.: The distribution of the sum of independent gamma random variables. Ann. Inst. Statist. Math. 37(1), 541–544 (1985)

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Jovan Stosic .

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© 2015 Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

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Stosic, J., Hadzi-Velkov, Z. (2015). Outage Probability of Dual-Hop MIMO Relay Systems with Direct Links. In: Atanasovski, V., Leon-Garcia, A. (eds) Future Access Enablers for Ubiquitous and Intelligent Infrastructures. FABULOUS 2015. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 159. Springer, Cham. https://doi.org/10.1007/978-3-319-27072-2_37

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  • DOI: https://doi.org/10.1007/978-3-319-27072-2_37

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-27071-5

  • Online ISBN: 978-3-319-27072-2

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