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Power Allocation for Amplify-and-Forward Relaying with Correlated Shadowing

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Abstract

Power allocation is a key technique to exploit the benefits of cooperative relaying. In this paper, we investigate the effect of shadowing on the power allocation of amplify-and-forward cooperative relaying systems. Considering the joint effects of path loss, correlated shadowing and flat Rayleigh fading, the approximate outage probability at high signal-to-noise ratio (SNR) is first derived. Then we solve the power allocation problem by minimizing the approximate outage probability subject to a total power constraint. It is shown by the analytical results that the correlation coefficients and the standard deviations of shadowing have significant impacts on the power allocation. The simulation results show that the proposed power allocation scheme yields about 2 dB SNR gain compared to the equal power allocation in the high SNR regime.

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References

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

    Article  MathSciNet  Google Scholar 

  2. Nabar, R. U., Bölcskei, H., & Kneubühler, F. W. (2004). Fading relay channels: Performance limits and space-time signal design. IEEE Journal on Selected Areas in Communications, 22(6), 1099–1109.

    Article  Google Scholar 

  3. Hoymann, C., Chen, W., Montojo, J., Golitschek, A., Koutsimanis, C., & Shen, X. (2012). Relaying operation in 3GPP LTE: Challenges and solutions. IEEE Communication Magazine, 50(2), 156–162.

    Article  Google Scholar 

  4. Host-Madsen, A., & Zhang, J. (2005). Capacity bounds and power allocation for wireless relay channels. IEEE Transaction on Information Theory, 51(6), 2020–2040.

    Article  MathSciNet  Google Scholar 

  5. Farhadi, G., & Beaulieu, N. C. (2009). Power-optimized amplify-and-forward multi-hop relaying systems. IEEE Transaction on Wireless Communications, 8(9), 4634–4643.

    Article  Google Scholar 

  6. Ahmed, N., Khojastepour, M. A., Sabharwal, A., & Aazhang, B. (2006). Outage minimization with limited feedback for the fading relay channel. IEEE Transaction on Communications, 54(4), 659–669.

    Article  Google Scholar 

  7. Hasna, M. O., & Alouini, M.-S. (2004). Optimal power allocation for relayed transmissions over rayleigh-fading channels. IEEE Transaction on Wireless Communications, 3(6), 1999–2004.

    Article  Google Scholar 

  8. Fareed, M. M., & Uysal, M. (2008). BER-optimized power allocation for fading relay channels. IEEE Transaction Wireless Communications, 7(6), 2350–2359.

    Article  Google Scholar 

  9. Khabbazibasmenj, A., & Vorobyov, S. A. (2011). Power allocation based on SEP minimization in two-hop decode-and-forward relay networks. IEEE Transaction on Signal Processinig, 59(8), 3954–3963.

    Article  MathSciNet  Google Scholar 

  10. Ikki, S. S., & Aïssa, S. (2011). A study of optimization problem for amplify-and-forward relaying over Weibull fading channels with multiple antennas. IEEE Communications Letters, 15(11), 1148–1152.

    Article  Google Scholar 

  11. Tabataba, F. S., Sadeghi, P., & Pakravan, M. R. (2011). Outage probability and power allocation of amplify and forward relaying with channel estimation errors. IEEE Transaction on Wireless Communications, 10(1), 124–134.

    Article  Google Scholar 

  12. Shi, Y., Wang, J., Letaief, K. B., & Mallik, R. (2009). A game-theoretic approach for distributed power control in interference relay channels. IEEE Transactions on Wireless Communications, 8(6), 3151–3161.

    Article  Google Scholar 

  13. Ren, S., & Schaar, M. (2010). Distributed power allocation in multi-user multi-channel cellular relay networks. IEEE Transactions on Wireless Communications, 9(6), 1952–1964.

    Article  Google Scholar 

  14. Szyszkowicz, S. S., Yanikomeroglu, H., & Thompson, J. S. (2010). On the feasibility of wireless shadowing correlation models. IEEE Transactions on Vehicular Technology, 59(9), 4222–4236.

    Article  Google Scholar 

  15. Graziosi, F., & Santucci, F. (2002). A general correlation model for shadow fading in mobile radio systems. IEEE Communication Letter, 6(3), 102–104.

    Article  Google Scholar 

  16. Agrawal, P., & Patwari, N. (2009). Correlated link shadow fading in multi-hop wireless networks. IEEE Transaction on Wireless Communications, 8(8), 4024–4036.

    Article  Google Scholar 

  17. Senarath, G., Tong, W., & Zhu, P. (2007). Multi-hop relay system evaluation methodology (channel model and performance metric). IEEE 802.16j-06/013r3.

  18. Tse, D., & Viswanath, P. (2005). Fundamentals of wireless communication. New York: Cambridge University Press.

    Book  MATH  Google Scholar 

  19. Ray Liu, K. J., Sadek, A. K., Su, W., & Kwasinski, A. (2009). Cooperative communications and networking. New York: Cambridge University Press.

    MATH  Google Scholar 

  20. Boyd, S., & Vandenberghe, L. (2004). Convex optimization. New York: Cambridge University Press.

    Book  MATH  Google Scholar 

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (61271164, U1035002/L05, 61001087, 61101034) and the Fundamental Research Funds for the Central Universities (ZYGX2011YB003).

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Correspondence to Liang Han.

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Han, L., Shao, S., Shen, Y. et al. Power Allocation for Amplify-and-Forward Relaying with Correlated Shadowing. Wireless Pers Commun 74, 427–438 (2014). https://doi.org/10.1007/s11277-013-1295-5

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  • DOI: https://doi.org/10.1007/s11277-013-1295-5

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