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Cooperative Communication Protocols in Wireless Networks: Performance Analysis and Optimum Power Allocation

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An Erratum to this article was published on 02 April 2011

Abstract

In this paper, symbol-error-rate (SER) performance analysis and optimum power allocation are provided for uncoded cooperative communications in wireless networks with either decode-and-forward (DF) or amplify-and-forward (AF) cooperation protocol, in which source and relay send information to destination through orthogonal channels. In case of the DF cooperation systems, closed-form SER formulation is provided for uncoded cooperation systems with PSK and QAM signals. Moreover, an SER upper bound as well as an approximation are established to show the asymptotic performance of the DF cooperation systems, where the SER approximation is asymptotically tight at high signal-to-noise ratio (SNR). Based on the asymptotically tight SER approximation, an optimum power allocation is determined for the DF cooperation systems. In case of the AF cooperation systems, we obtain at first a simple closed-form moment generating function (MGF) expression for the harmonic mean to avoid the hypergeometric functions as commonly used in the literature. By taking advantage of the simple MGF expression, we obtain a closed-form SER performance analysis for the AF cooperation systems with PSK and QAM signals. Moreover, an SER approximation is also established which is asymptotically tight at high SNR. Based on the asymptotically tight SER approximation, an optimum power allocation is determined for the AF cooperation systems. In both the DF and AF cooperation systems, it turns out that an equal power strategy is good, but in general not optimum in cooperative communications. The optimum power allocation depends on the channel link quality. An interesting result is that in case that all channel links are available, the optimum power allocation does not depend on the direct link between source and destination, it depends only on the channel links related to the relay. Finally, we compare the performance of the cooperation systems with either DF or AF protocol. It is shown that the performance of a systems with the DF cooperation protocol is better than that with the AF protocol. However, the performance gain varies with different modulation types and channel conditions, and the gain is limited. For example, in case of BPSK modulation, the performance gain cannot be larger than 2.4 dB; and for QPSK modulation, it cannot be larger than 1.2 dB. Extensive simulation results are provided to validate the theoretical analysis.

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References

  1. Rappaport T. (2002). Wireless communications: Principles and practice (2nd ed). Upper Saddle River NJ, Prentice Hall

    Google Scholar 

  2. Laneman J.N., Wornell G.W. (2003). Distributed space-time coded protocols for exploiting cooperative diversity in wireless networks. IEEE Transactions on Information Theory, 49, 2415–2525

    Article  MathSciNet  Google Scholar 

  3. Laneman J.N., Tse D.N.C., Wornell G.W. (2004). Cooperative diversity in wireless networks: Efficient protocols and outage behavior. IEEE Transactions on Information Theory, 50(12): 3062–3080

    Article  MathSciNet  Google Scholar 

  4. Sendonaris A., Erkip E., Aazhang B. (2003). User cooperation diversity-Part I: System description. IEEE Transactions Communications, 51, 1927–1938

    Article  Google Scholar 

  5. Sendonaris A., Erkip E., Aazhang B. (2003). User cooperation diversity-Part II: Implementation aspects and performance analysis. IEEE Transactions on communications, 51, 1939–1948

    Article  Google Scholar 

  6. Su, W., Sadek, A. K., & Liu, K. J. R. (2005). SER performance analysis and optimum power allocation for decode-and-forward cooperation protocol in wireless networks. Proc. IEEE Wireless Communications and Networking Conference, 2, 984–989, New Orleans, LA.

    Google Scholar 

  7. van der Meulen E.C. (1971). Three-terminal communication channels. Advances in Applied Probability, 3, 120–154

    Article  MATH  MathSciNet  Google Scholar 

  8. van der Meulen E.C. (1977). A survey of multi-way channels in information theory: 1961–1976. IEEE Transactions on Information Theory, 23(1): 1–37

    Article  MATH  Google Scholar 

  9. Cover T.M., El Gamal A.A. (1979). Capacity theorems for the relay channel. IEEE Transactions on Information Theory, 25(5): 572–584

    Article  MATH  MathSciNet  Google Scholar 

  10. Kramer, G., Gastpar, M., & Gupta, P. (2003). Capacity theorems for wireless relay channels. In Proc. 41th Allerton Conf. on Comm. Control and computing, October 2003.

  11. Kramer G., Gastpar M., Gupta P. (2005). Cooperative strategies and capacity theorems for relay networks. IEEE Transactions on Information Theory, 51(9): 3037–3063

    Article  MathSciNet  Google Scholar 

  12. Reznik A., Kulkarni S.R., Verdu S. (2004). Degraded Gaussian multirelay channel: Capacity and optimal power allocation. IEEE Transactions on Information Theory, 50(12): 3037–3046

    Article  MathSciNet  Google Scholar 

  13. El Gamal A.A., Zahedi S. (2005). Capacity of a class of relay channels with orthogonal components. IEEE Transactions on Information Theory, 51(5): 1815–1817

    Article  MathSciNet  Google Scholar 

  14. Hasna, M. O., & Alouini, M.-S. (2002). Performance analysis of two-hop relayed transmissions over Rayleigh fading channels. In Proc. IEEE Vehicular Technology Conf. (VTC) (Vol. 4, pp. 1992–1996). Sept. 2002.

  15. Gradshteyn I.S., Ryzhik I.M. (1990). Table of integrals, series, and products. New yok, Academic Press

    Google Scholar 

  16. Siriwongpairat, W. P., Himsoon, T., Su, W., & Liu, K. J. R. (2006). Optimum threshold-selection relaying for decode-and-forward cooperation protocol. In Proc. IEEE Wireless Communications and Networking Conference. Las Vegas, NV, April 3–6, 2006.

  17. Brennan, D. G. (2003). Linear diversity combining techniques. In Proceedings of the IEEE, (Vol. 19(2), pp.331–356). Feb. 2003.

  18. Simon, M. K., & Alouini, M.-S. (1998). A unified approach to the performance analysis of digital communication over generalized fading channels. In Proc. IEEE (Vol. 86(9)), pp. 1860–1877. Sept. 1998.

  19. Proakis J.G. (2001). Digital communications (4th ed). New york, McGraw-Hill

    Google Scholar 

  20. Craig, J. W. (1991). A new, simple and exact result for calculating the probability of error for two-dimensional signal constellations. In Proc. IEEE MILCOM, (pp. 25.5.1–25.5.5) Boston, MA.

  21. Hasna, M. O., & Alouini, M.-S. (2003). Optimal power allocation for relayed transmissions over Rayleigh fading channels. In Proc. IEEE Vehicular Technology Conf. (VTC) (Vol. 4, pp. 2461–2465). Apr. 2003.

  22. Ribeiro A., Cai X., Giannakis G.B. (2005). Symbol error probabilities for general cooperative links. IEEE Transactions on Wireless Communication, 4(3): 1264–1273

    Article  Google Scholar 

  23. Stark H., Woods J.W. (2002). Probability and random processes with applications to signal processing (3rd edn). New Jersey, Prentice Hall

    Google Scholar 

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Correspondence to Weifeng Su.

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An erratum to this article can be found online at http://dx.doi.org/10.1007/s11277-011-0313-8

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Su, W., Sadek, A.K. & Ray Liu, K.J. Cooperative Communication Protocols in Wireless Networks: Performance Analysis and Optimum Power Allocation. Wireless Pers Commun 44, 181–217 (2008). https://doi.org/10.1007/s11277-007-9359-z

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