Abstract
This letter studies the joint effects of imperfect channel state information (CSI) and co-channel interference (CCI) on a dual-hop variable gain amplify-and-forward (AF) relay network with beamforming. The source and destination are both equipped with multiple antenna, while the relay has a single antenna. Specifically, the analytical expressions for the outage probability and average symbol error rate of the considered AF relaying are derived. Moreover, the asymptotic analysis at high SNR is also presented to reveal the diversity order and array gain of the relay system. Finally, computer simulations are given to confirm the validity of the proposed theoretical analysis and quantify the combined influence of imperfect CSI and CCI on the system performance.



References
Zhioua, G. E. M., Labiod, H., Tabbane, N., & Tabbane, S. (2013). LTE advanced relaying standard: A survey. Wireless Personal Communications, 72(4), 2445–2463.
Li, M., Lin, M., Yu, Q., Zhu, W. P., & Dong, L. (2012). Optimal beamformer design for two hop MIMO AF relay networks over Rayleigh fading channels. IEEE Journal on Selected Areas in Communicaiton, 30(8), 1402–1414.
Ma, Y., Zhang, D., Leith, A., & Wang, Z. (2009). Error performance of transmit beamforming with delayed and limited feedback. IEEE Transacitons on Wireless Communicaiton, 8(3), 1164–1170.
Suraweera, H. A., Tsiftsis, T. A., Karagiannidis, G. K., & Nallanathan, A. (2011). Effect of feedback delay on amplify-and-forward relay networks with beamforming. IEEE Transactions on Vehicle Technology, 60(3), 1265–1271.
Ferdinand, N. S., & Rajatheva, N. (2011). Performance analysis of imperfect channel estimation in MIMO two hop fixed gain relay network with beamforming. IEEE Communicaiton letters, 15(2), 208–210.
Suraweera, H. A., Garg, H. K., & Nallanathan, A. (2010). Performance analysis of two hop amplify-and-forward systems with interference at the relay. IEEE Communication Letters, 14(8), 692–694.
Zhong, C., Suraweera, H. A., Huang, A. P., Zhang, Z., & Yuen, C. (2013). Outage probability of dual-hop multiple antenna AF relaying systems with interference. IEEE Transactions on Communications, 61(1), 108–119.
Phan, H., Duong, T. Q., Elkashlan, M., & Zepernick, H. J. (2012). Beamforming amplify-and-forward relay networks with feedback delay and interference. IEEE Signal Processing Letters, 19(1), 16–19.
Huang, Y., Li, C., Zhong, C., Wang, J., Cheng, Y., & Wu, Q. (2013). On the capacity of dual-hop multiple antenna AF relaying systems with feedback delay and CCI. IEEE Communication Letters, 17(6), 1200–1203.
Gradshteyn, I. S., Ryzhik, I. M., & Jeffrey, A. (2007). Table of integrals, series, and products (7th ed.). San Diego, CA: Academic Press.
Abramowitz, M., & Stegun, I. A. (1972). Handbook of mathematical functions with formulas, graphs, and mathematical tables (10th ed.). New York: Dover publications.
Prudnikov, A. P., Brychkov, Y. A., & Marichev, O. I. (1986). Integrals and series (Vol. 1). New York: Gordon and Breach Publisher.
Acknowledgments
This work is supported by the National Natural Science Foundation of China (Grants 61271255), the Natural Science Foundation of Jiangsu Province (BK20131068), and the Open Research Fund of National Mobile Communications Research Laboratory in Southeast University (2012D15).
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An, K., Lin, M., Ouyang, J. et al. Beamforming in Dual-Hop AF Relaying with Imperfect CSI and Co-channel Interference. Wireless Pers Commun 78, 1187–1197 (2014). https://doi.org/10.1007/s11277-014-1811-2
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DOI: https://doi.org/10.1007/s11277-014-1811-2