KSII Transactions on Internet and Information Systems (TIIS)

Korean Society for Internet Information (한국인터넷정보학회)
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Performance Analysis of Amplify-and-Forward Two-Way Relaying with Antenna Correlation

  • Fan, Zhangjun (Institute of Communications Engineering, PLA University of Science and Technology) ;
  • Xu, Kun (Institute of Communications Engineering, PLA University of Science and Technology) ;
  • Zhang, Bangning (Institute of Communications Engineering, PLA University of Science and Technology) ;
  • Pan, Xiaofei (Institute of Communications Engineering, PLA University of Science and Technology)
  • Received : 2011.03.16
  • Accepted : 2012.06.05
  • Published : 2012.06.30
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Abstract

This paper investigates the performance of an amplify-and-forward (AF) two-way relaying system with antenna correlation. The system consists of two multiple-antenna sources, which exchange information via the aid of a single-antenna relay. In particular, we derive the exact outage probability expression. Furthermore, we provide a simple, tight closed-form lower bound for the outage probability. Based on the lower bound, we obtain the closed-form asymptotic outage probability and the average symbol error rate expressions at high signal-to-noise ratio (SNR), which reveal the system's diversity order and coding gain with antenna correlation. To investigate the system's throughput performance with antenna correlation, we also derive a closed-form lower bound for the average sum-rate, which is quite tight from medium to high SNR regime. The analytical results readily enable us to obtain insight into the effect of antenna correlation on the system's performance. Extensive Monte Carlo simulations are conducted to verify the analytical results.

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References

  1. B. Rankov and A. Wittneben, "Spectral efficient protocols for half-duplex fading relay channels," IEEE J. Sel. Areas Commun., vol.25, no.2, pp.379-389, Feb.2007. https://doi.org/10.1109/JSAC.2007.070213
  2. B. Rankov and A. Wittneben, "Achievable rate regions for the two-way relay channel," in Proc. of 2006 IEEE Int. Symposium on Information Theory, pp.1668-1672, Jul.2006.
  3. T. Cui, T. Ho and J. Kliewer, "Memoryless relay strategies for two-way relay channels," IEEE Trans. Commun., vol.57, no.10, pp.3132-3143, Oct.2009. https://doi.org/10.1109/TCOMM.2009.10.080222
  4. S. Zhang, S. C. Liew and P. P. Lam. "Hot topic: physical layer network coding," in Proc. of 12th MobiCom, pp.358-365, SeP.2006.
  5. S. Katti, S. Gollakota and D. Katabi. "Embracing wireless interference: analog network coding," in Proc. of ACM SIGCOMM, pp.397-408, Aug.2007.
  6. P. K. Upadhyay and S. Prakriya, "Performance of analog network coding with asymmetric traffic requirements," IEEE Commun. Lett., vol.15, no.6, pp.647-649, Jun.2011. https://doi.org/10.1109/LCOMM.2011.041411.110388
  7. H. Guo, J. Ge and H. Ding, "Symbol error probability of two-way amplify-and-forward relaying," IEEE Commun. Lett., vol.15, no.1, pp.22-24, Jan.2011. https://doi.org/10.1109/LCOMM.2010.01.100983
  8. H. X. Nguyen, H. H. Nguyen and T. Le-Ngoc, "Diversity analysis of relay selection schemes for two-way wireless relay networks," Wireless Personal Commun., vol.59, no.2, pp.173-189, 2011. https://doi.org/10.1007/s11277-009-9911-0
  9. L. Song, "Relay selection for two-way relaying with amplify-and-forward protocols," IEEE Trans. Vehicular Technology, vol.60, no.4, pp.1954-1959, May.2011. https://doi.org/10.1109/TVT.2011.2123120
  10. B. Wang, J. Zhang and A. H-Madsen, "On the capacity of MIMO relay channels," IEEE Trans. Information Theory, vol.51, no.1, pp.29-43, Jan. 2005. https://doi.org/10.1109/TIT.2004.839487
  11. G. Amarasuriya, C. Tellambura and M. Ardakani, "Performance analysis of zero-forcing for two-way MIMO AF relay networks," IEEE Wireless Commun. Lett., vol.1, no.2, pp.53-56, Apr.2012. https://doi.org/10.1109/WCL.2012.010912.110220
  12. S. Xu and Y. Hua, "Optimal design of spatial source-and-relay matrices for a non-regenerative two-way MIMO relay system," IEEE Trans. Wireless Commun., vol.10, no.5, pp.1645-1655, May.2011. https://doi.org/10.1109/TWC.2011.030911.101173
  13. R. Zhang, Y. C. Liang, C. C. Chai and S. Cui, "Optimal beamforming for two-way multi-antenna relay channel with analogue network coding," IEEE Journal of Selected Areas Commun., vol.27, no.5, pp.699-712, Jun.2009. https://doi.org/10.1109/JSAC.2009.090611
  14. J. C. Park, J. B. Park, J. H. Lee, J. S. Wang and Y. H. Kim, "Analysis on average sum rate of two-way relaying with simple analog network coding in Nakagami fading channels," in Proc. of IEEE 73rd Vehicular Technology Conference(VTC Spring), pp.1-5, May.2011.
  15. S. Prakash and I. Mcloughlin, "Performance of dual-hop multi-antenna systems with fixed gain amplify-and-forward relay selection," IEEE Trans. Wireless Commun., vol.10, no.6, pp.1709-1714, Jun. 2011. https://doi.org/10.1109/TWC.2011.040411.101415
  16. R. H. Y. Louie, Y. Li, H. A. Suraweera and B. Vucetic, "Performance analysis of beamforming in two hop amplify and forward relay networks with antenna correlation," IEEE Trans. Wireless Commun., vol.8, no.6, pp.3132-3141, Jun.2009. https://doi.org/10.1109/TWC.2009.080807
  17. H. A. Suraweera, H. K. Garg and A. Nallanathan, "Beamforming in dual-hop fixed gain relay systems with antenna correlation," in Proc. of 2010 IEEE ICC, pp.1-5, May.2010.
  18. N. S. Ferdinand, and N. Rajatheva, "Unified performance analysis of two-hop amplify-and-forward relay systems with antenna correlation," IEEE Trans. Wireless Commun., vol.10, no.9, pp.3002-3011, Sep.2011. https://doi.org/10.1109/TWC.2011.072511.101783
  19. G. Amarasuriya, C. Tellambura and M. Ardakani, "Impact of antenna correlation on a new dual-hop MIMO AF relaying model," EURASIP J. Wireless Commun. Netw., vol.2010, May.2010.
  20. D. B. da Costa and S. Aissa, "Cooperative dual-hop relaying systems with beamforming over Nakagami-m fading channels," IEEE Trans. Wireless Commun., vol.8, no.8, pp.3950-3954, Aug.2009. https://doi.org/10.1109/TWC.2009.081353
  21. T. Q. Duong, G. C. Alexandropoulos, H. Zepernick and T. A. Tsiftsis, "Orthogonal space-time block codes with CSI-assisted amplify-and-forward relaying in correlated Nakagami-m fading channels," IEEE Trans. Vehicular Technology, vol.60, no.3, pp.882-889, Mar.2011. https://doi.org/10.1109/TVT.2011.2104379
  22. H. A. Suraweera, P. J. Smith, A. Nallanathan and J. S. Thompson, "Amplify-and-forward relaying with optimal and suboptimal transmit antenna selection," IEEE Trans. Wireless Commun., vol.10, no.6, pp.1874-1885, Jun.2011. https://doi.org/10.1109/TWC.2011.040411.101150
  23. H. Min, S. Lee, K. Kwak and D. Hong, "Effect of multiple antennas at the source on outage probability for amplify-and-forward relaying systems," IEEE Trans. Wireless Commun., vol.8, no.2, pp.633-637, Feb.2009. https://doi.org/10.1109/TWC.2009.071332
  24. R. U. Nabar, H. Bolcskei and A. J. Paulraj, "Outage properties of space-time codes in correlated Rayleigh or Ricean fading environments," in Proc. of 2002 IEEE ICASSP, pp.2381-2384, May.2002.
  25. D. S. Shiu, G. J. Foshini, M. J. Gans and J. M. Kahn, "Fading correlation and its effect on the capacity of multi-element antenna systems," IEEE Trans. Commun., vol.48, no.3, pp.502-513, Mar.2000. https://doi.org/10.1109/26.837052
  26. T. K. Y. Lo, "Maximum ratio transmission," IEEE Trans. Commun. vol.47, no.10, pp.1458-1461, Oct.1999. https://doi.org/10.1109/26.795811
  27. P. L. Yeoh, M. Elkashlan and I. B. Collings, "Selection relaying with transmit beamforming: a comparison of fixed and variable gain relaying", IEEE Trans. Commun., vol.59, no.6, pp.1720-1730, Jun.2011. https://doi.org/10.1109/TCOMM.2011.042111.100055
  28. M. K. Simon and M. S. Alouini, Digital communications over fading channels: a unified approach to performance analysis, 1st Edition, John Wiley and Sons, New York, 2000.
  29. L. Musavian, M. Dohler, M. R. Nakhai and A. H. Aghvami, "Closed form capacity expressions of orthogonalized correlated channels," IEEE Commun. Lett., vol.8, no.6, pp.365-367, Jun.2004. https://doi.org/10.1109/LCOMM.2004.827430
  30. C. Wang, T. C. K. Liu and X. Dong, "Impact of channel estimation error on the performance of amplify-and-forward two-way relaying," IEEE Trans. Vehicular Technology, vol.61, no.3, pp.1197-1207, Mar.2012. https://doi.org/10.1109/TVT.2012.2185964
  31. I. S. Gradshteyn and I. M. Ryzhik, Tables of integrals, series and products, 7th Edition, Academic, New York, 2000.
  32. Z. Wang and G. B. Giannakis, "A simple and general parameterization quantifying performance in fading channels," IEEE Trans. Commun., vol.51, no.8, pp.1389-1398, Aug.2003. https://doi.org/10.1109/TCOMM.2003.815053
  33. H. Bolcskei, M. Borgmann and A. J. Paulraj, "Impact of the propagation environment on the performance of space-frequency coded OFDM," IEEE J. Sel. Areas. Commun., vol.21, no.3, pp.427-439, Apr.2003. https://doi.org/10.1109/JSAC.2003.809723
  34. M. O. Hasna and M. S. Alounini, "End-to-end performance of transmission systems with relays over Rayleigh-fading channels," IEEE Trans. Wireless Commun., vol.2, no.6, pp.1126-1131, Nov.2003. https://doi.org/10.1109/TWC.2003.819030
  35. P. A. Agnhel and M. Kaveh, "Exact symbol error probability of a cooperative network in a Rayleigh-fading environment," IEEE Trans. Wireless Commun., vol.3, no.5, pp.1416-1421, Sep.2004. https://doi.org/10.1109/TWC.2004.833431

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