DOI QR코드

DOI QR Code

Dual-Hop Amplify-and-Forward Multi-Relay Maximum Ratio Transmission

  • Erdogan, Eylem (Department of Electrical and Electronics Engineering, Kadir Has University) ;
  • Gucluoglu, Tansal (Department of Electronics and Communications Engineering, Yildiz Technical University)
  • Received : 2014.04.03
  • Accepted : 2015.08.29
  • Published : 2016.02.28

Abstract

In this paper, the performance of dual-hop multi-relay maximum ratio transmission (MRT) over Rayleigh flat fading channels is studied with both conventional (all relays participate the transmission) and opportunistic (best relay is selected to maximize the received signal-to-noise ratio (SNR)) relaying. Performance analysis starts with the derivation of the probability density function, cumulative distribution function and moment generating function of the SNR. Then, both approximate and asymptotic expressions of symbol error rate (SER) and outage probability are derived for arbitrary numbers of antennas and relays. With the help of asymptotic SER and outage probability, diversity and array gains are obtained. In addition, impact of imperfect channel estimations is investigated and optimum power allocation factors for source and relay are calculated. Our analytical findings are validated by numerical examples which indicate that multi-relay MRT can be a low complexity and reliable option in cooperative networks.

Keywords

References

  1. S. M. Alamouti, "A simple transmit diversity technique for wireless communications," IEEE J. Sel. Areas Commun., vol. 17, pp. 1451-1458, Oct. 1998.
  2. A. Nosratinia, T.E. Hunter, and A. Hedeyat, "Cooperative communication in wireless networks," IEEE Commun.Mag., vol. 42, pp. 74-80, Oct. 2004. https://doi.org/10.1109/MCOM.2004.1341264
  3. J.N. Laneman, D. N. C. Tse, and G.W. Wornell, "Cooperative diversity in wireless networks: Efficient protocols and outage behavior," IEEE Trans. Inf. Theory, vol. 50, pp. 3062-3080, Dec. 2004. https://doi.org/10.1109/TIT.2004.838089
  4. A. Sendorinis, E. Erkip, and B. Aazhang, "User cooperation diversity-part I: System description," IEEE Trans. Commun., vol. 51, pp. 1927-1938, Nov. 2003. https://doi.org/10.1109/TCOMM.2003.818096
  5. A. Chakrabarti, E. Erkip, A. Sabharwal, and B. Aazhang, "Code designs for cooperative communication," IEEE Signal Process. Mag., vol. 24, pp. 16-26, Sept. 2007.
  6. P. A. Anghel, M. Kaveh, "Exact symbol error probability of a cooperative network in a Rayleigh-fading environment," IEEE Trans. Wireless Commun., vol. 3, pp. 1416-1421, Sept. 2004. https://doi.org/10.1109/TWC.2004.833431
  7. V. C. Bao and H. Y. Kong, "An exact closed-form expression for bit error rate of decode-and-forward relaying using selection combining over Rayleigh fading channels," J. Commun. Netw., vol. 11, pp. 480-488, Oct. 2009. https://doi.org/10.1109/JCN.2009.6388392
  8. V. C. Bao and H. Y. Kong, "Performance analysis of multi-hop decodeand- forward relaying with selection combining," J. Commun. Netw., vol. 12, pp. 616-623, Dec. 2010. https://doi.org/10.1109/JCN.2010.6388309
  9. S. S. Ikki and M. H. Ahmed, "Performance analysis of cooperative diversity wireless networks over Nakagami-m fading channel," IEEE Commun. Lett. vol. 11, pp. 334-336, Apr. 2007. https://doi.org/10.1109/LCOM.2007.348292
  10. S. S. Ikki and M. H. Ahmed, "Performance of cooperative diversity using equal gain combining over Nakagami-m fading channels," IEEE Trans. Wireless Commun., vol. 8, pp. 557-562, Feb. 2009. https://doi.org/10.1109/TWC.2009.070966
  11. A. Bletsas, A. Lippman, and D. P. Reed, "A simple cooperative diversity method based on network path selection," IEEE J. Sel. Areas Commun.,, vol. 3, pp. 659-672, Mar. 2006.
  12. G. C. Alexandropoulos, A. Papadogiannis, and K. Berberidis, "Performance analysis of cooperative networks with relay selection over Nakagami-m fading channels," IEEE Signal Process. Lett., vol. 17, pp. 441-444, May 2010. https://doi.org/10.1109/LSP.2010.2042992
  13. D. daCosta, S. Aissa, "Performance analysis of cooperative networks with relay selection over Nakagami-m fading channels," IEEE Commun. Lett., vol. 14, pp. 608-611, July 2010. https://doi.org/10.1109/LCOMM.2010.07.100407
  14. I. Altunbas, A. Yilmaz, and S. S. Kucur "Performance analysis of dual-hop fixed-gain AF relaying systems with OSTBC over Nakagami-m fading channels," AEU Int. J. Elec. Commun., vol. 66, pp. 841-846, Oct. 2012. https://doi.org/10.1016/j.aeue.2012.02.002
  15. E. S. Nasab and M. Matthaiou, "Multi-relay MIMO systems with OSTBC over Nakagami-m fading channels," IEEE Trans. Veh. Technol., vol. 62, pp. 3721-3736, Oct. 2013. https://doi.org/10.1109/TVT.2013.2262009
  16. T. K. Y. Lo, "Maximum ratio transmission," IEEE Trans. Commun., vol. 47, pp. 1458-1461, Oct. 1999. https://doi.org/10.1109/26.795811
  17. A. F. Coskun and O. Kucur, "Performance analysis of maximal-ratio transmission/ receive antenna selection in Nakagami-m fading channels with channel estimation errors and feedback delay," IEEE Trans Veh. Technol., vol. 10, pp. 1099-1108, Mar. 2012.
  18. 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, pp. 633-637, Feb. 2009. https://doi.org/10.1109/TWC.2009.071332
  19. L. Yang and Q. T. Zhang, "Outage performance of MIMO relay channels with maximal ratio transmission," Electron. Lett., vol. 45, pp. 273-275, Feb. 2010.
  20. J. B. Kim and D. Kim, "Performance of dual-hop amplify-and-forward beamforming and its equivalent systems in Rayleigh fading channels," IEEE Trans. Commun., vol. 58, pp. 729-732, 2011.
  21. D. B. da Costa and S. Aissa, "Cooperative dual-hop relaying systems with beamforming over Nakagami-m fading channels," IEEE Trans. Wireless Commun., vol. 57, pp. 3950-3954, 2009.
  22. J. Ouyang, M. Lin, and Y. Zhuang, "Performance analysis of beamforming with feedback delay in two-hop AF relaying over Rayleigh-Rician fading channels," Electron. Lett., vol. 48, pp. 663-665, 2012. https://doi.org/10.1049/el.2012.0790
  23. G. Amarasuriya, C.Tellambura, and M. Ardakani, "Performance analysis of hop-by-hop beamforming for dual-hop MIMO AF relay networks," IEEE Trans. Commun., vol. 60, pp. 1823-1837, 2012. https://doi.org/10.1109/TCOMM.2012.051012.100594
  24. F. Wang et al., "Outage probability and SER analysis of partial relay selection in amplify-and-forward MIMO relay systems," in Proc. IEEE VTC, 2011.
  25. 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. 6, pp. 1709-1712, 2011.
  26. L. Wang, Y. Chai, W. Yang, and W. Yang, "Performance analysis of transmit beamforming and relay selection with feedback delay and channel estimation errors," in Proc. WCSP, 2013.
  27. M. R.McKay, A. Zanella, I. B. Collings, andM. Chiani, "Error probability and SINR analysis of optimum combining in Rician fading," IEEE Trans. Commun, vol. 57, pp. 676-687, 2009. https://doi.org/10.1109/TCOMM.2009.03.060521
  28. T. T. Duy and H. Y. Kong, "Performance analysis of hybrid decodeamplify-forward incremental relaying cooperative diversity protocol using SNR-based relay selection," J. Commun. Netw., vol. 14, pp. 703-709, Dec. 2012. https://doi.org/10.1109/JCN.2012.00036
  29. E. Erdogan and T. Gucluoglu, "Simple outage probability bound for twoway relay networks with joint antenna and relay selection over Nakagami-m fading channels," Electron. Lett., vol. 51, pp. 415-417, Mar. 2015. https://doi.org/10.1049/el.2014.2622
  30. S. S. Ikki, "Optimisation study of power allocation and relay location for amplify-and-forward systems over Nakagami-m fading channels," Trans. Emerg. Telecommun. Technol., vol. 25, pp. 334-342, 2014. https://doi.org/10.1002/ett.2571
  31. Z. Wang and G. B. Giannakis, "A simple and general parameterization quantifying performance in fading channels," IEEE Trans. Commun., vol. 51, pp. 1389-1398, 2003. https://doi.org/10.1109/TCOMM.2003.815053
  32. 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. Veh. Technol., vol. 61, pp. 1197-1206, Mar. 2012. https://doi.org/10.1109/TVT.2012.2185964
  33. S. S. Ikki and S. Aissa, "Impact of imperfect channel estimation and cochannel interference on dual-hop relaying systems," IEEE Commun. Lett., vol. 16, pp. 324-327, Mar. 2012. https://doi.org/10.1109/LCOMM.2012.011312.112042
  34. A. Yilmaz and O. Kucur, "Performances of transmit antenna selection, receive antenna selection and maximal ratio combining based hybrid techniques in the presence of feedback errors," IEEE Trans. Veh. Technol., vol. 63, pp. 1976-1982, 2014. https://doi.org/10.1109/TVT.2013.2267962
  35. K. K. Oldham, J.Myland, and J. Spanier, An Atlas of Functions with Equator the Atlas Function Calculator, 2nd ed. Springer, 2008.
  36. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products, 7th ed. California: Academic Press, 2007.
  37. M. K Simon and A. S. Alouini AS, Digital Communication over Fading Channels, New York: Wiley, 2007.