An Exact Closed-Form Expression for Bit Error Rate of Decode-and-Forward Relaying Using Selection Combining over Rayleigh Fading Channels

  • 발행 : 2009.10.31

초록

Cooperative transmission is an effective solution to improve the performance of wireless communications over fading channels without the need for physical co-located antenna arrays. In this paper, selection combining is used at the destination instead of maximal ratio combing to optimize the structure of destination and to reduce power consumption in selective decode-and-forward relaying networks. For an arbitrary number of relays, an exact and closed-form expression of the bit error rate (BER) is derived for M-PAM, M-QAM, and M-PSK, respectively, in both independent identically distributed and independent but not identically distributed Rayleigh fading channels. A variety of simulations are performed and show that they match exactly with analytic ones. In addition, our results show that the optimum number of relays depend not only on channel conditions (operating SNRs) but also on modulation schemes which to be used.

키워드

참고문헌

  1. I. F. Akyildiz, W. Su, Y. Sankarasubramaniam, and E. Cayirci, 'A surveyon sensor networks,' IEEE Commun. Mag. , vol. 40, pp. 102-114, Aug.2002 https://doi.org/10.1109/MCOM.2002.1024422
  2. W. R. Heinzelman, A. Chandrakasan, and H. Balakrishnan, 'Energy efficient communication protocol for wireless microsensor networks,' in Proc. IEEE Hawaii Int. Conf Sys. Sci. , Jan. 2000, pp. 1-10 https://doi.org/10.1109/HICSS.2000.926982
  3. M. Dohler, E. Lefranc, and H. Aghvami, 'Virtual antenna arrays for future mobile communication systems,' in Proc. IEEE ICT, June 2002
  4. M. Dohler, J. Dominguez, and H. Aghvami, 'Link capacity of virtual antenna arrays," in Proc. VTC-fall, Sept. 2002, pp. 440-443 https://doi.org/10.1109/VETECF.2002.1040381
  5. R. Pabst, B. Walke, D. Schultz, P. Herhold, H. Yanikomeroglu, S. Mukherjee, H'Visvanathan, M. Lott , W. Zirwas, M. Dohler, H. Aghvarni, D. Falconer,and G. Fettweis, "Relay-based deployment concepts for wirelessand mobile broadband cellular radio," IEEE Commun. Mag. , vol. 42, pp.80-89, Sept. 2004 https://doi.org/10.1109/MCOM.2004.1336724
  6. A. Nosratinia, A. Hedayat, and T. E. Hunter, "Cooperative communication in wirelεss networks," IEEE Commun. Mag. , vol. 42, pp. 74-80, Oct. 2004 https://doi.org/10.1109/MCOM.2004.1341264
  7. Z. Jingmei, Z. Qi, S. Chunju, W. Ying, Z. Ping, and Z. Zhang, "Adaptiveoptimal transmit power allocation for two-hop non-regenerative wirelessrelaying system," in Proc. VTC-spring, May 2004, pp. 1213-1217
  8. Z. Jingmei, S. Chunju, and W. Y. Z. Ping, "Performance of a two-hopcellular system with different power allocation schemes," in Proc. VTCfall , Sept. 2004, pp. 4538-4542
  9. Z. Qi, Z. Jingmei, S. Chunju, W. Ying, Z. Ping, and Hu Rong, "Powerallocation for regenerative relay channel with Rayleigh fading," in ProcVTC-spring, May 2004, pp. 1167-1171
  10. J. Luo, R. S. Blum, L. Cimini, L. Greenstein, and A. Haimovich, "Power allocation in a transmit diversity system with mean channel gain information," IEEE Commun. Lett. , vol. 9, pp. 616-618, Jul. 2005 https://doi.org/10.1109/LCOMM.2005.1461682
  11. W. Su, A. K. Sadek, and K.J.R. Liu, "SER performance analysis and optimum power allocation for decode-and-forward cooperation protocol in wireless networks," in Proc. WCNC, pp. 984-989, Mar. 2005
  12. A. K. Sadek, W. Su, and K. J. R. Liu, "A class of cooperative communication protocols for multi-node wireless networks," in Proc. IEEE 6thWorkshop on Signal Processing Advances in Wireless Communications,Jun 2005, pp. 560-564
  13. A. K. Sadek, W. Su, and K. J. R. Liu, "Performance analysis for multinode decode-and-forward relaying in cooperative wireless networks," inProc. ICASSP, Mar. 2005, pp. 521-524
  14. P. Herhold, E. Zimmermann, and G. Fettweis, "A simple cooperative extension to wireless relaying," in Proc. Int. Zurich Seminar on Communications, Zurich, Switzerland, Feb. 2004
  15. 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
  16. B. K'uhn, Wireless Communications over MIMO Channels. John Wiley&Sons, 2006
  17. I. H. Lee and D. Kim, "BER analysis for decode-and-forword relaying in dissmilar Rayleigh fading channels," IEEE Commun. Lett., vol. 11, Jan. 2007
  18. A. Bletsas, H. Shin, M. Z. Win, "Outage analysis for co-operative communication with multiple amplify-and-forword relays," Electron. lett., vol. 43, Mar. 2007
  19. Y. Zhao, R. Adve, and T. J. Lim, "Outage probability at arbitrary SNR with cooperative diversity," IEEE Commun. Lett., vol. 9, Aug. 2005
  20. N. C. Beaulieu and J. Hu, "A closed-form expression for the outage probabilityof decode-and-forward relaying in dissimilar Rayleigh fading channels,"IEEE Commun. Lett., vol. 10, Dec. 2006
  21. J. Hu and N. C. Beaulieu, "Performance analysis of decode-and-forwardrelaying with selecting combining," IEEE Commun. Lett. , vol. 11, June2007
  22. J. Proakis, Digital Communication 4th Edition. New York: McGrawHill,2001
  23. M. K. Simon, Digital Communication over Fading channels - Second Edition. John Wiley & Sons, Inc., Hoboken, New Jersey, 2005
  24. K. Cho and D. Yoon, "On the general BER expression of one-and-twodimensional amplitude modulations," IEEE Trans. Commun. , vol. 50, Jul.2002
  25. J. W. Craig, "A new simple and exact result for calculating the probabilityof error for two-dimension signal constellations," in Proc. IEEE MILCOM,Nov.1991, pp.571-575
  26. S. Chennakeshu and J. B. Anderson, "Error rates for Rayleigh fading multichannelreception of MPSK signals," IEEE Trans. Commun. , vol. 43, pp.338-346, Feb/MAR/Apr. 1995 https://doi.org/10.1109/26.380052