Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content
SpringerLink
Log in

Multi-Antenna AF Two-Way Relaying Over Nakagami-\(m\) Fading Channels

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

We present the performance of multi-antenna selective combining amplify-and-forward (SC-AF) two-way relaying systems over independent and identically distributed (i.i.d) Nakagami-\(m\) fading channels. The outage probability and symbol error probability of our relaying system are derived in closed-form. In order to get additional insights into the impact of system parameters, we consider the analysis of system at high signal-to-noise (SNR) regime. Through over high SNR analysis, we assume that the fading channels are independent and non-identically distributed (i.n.i.d). Also, there is no assumption on the fading parameter, \(m\). Moreover, some special cases of practical interest (e.g., Rayleigh fading channels, and single relay system) are also examined. Subsequently, we define an optimization problem using some approximations and then solve it analytically. Lastly, we present numerical simulations to check our analytical formulas.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. Dohler, M., & Li, Y. (2010). Cooperative communication: Hardware, channel and PHY. New York: Wiley.

    Book  Google Scholar 

  2. Hasna, M. O., & Alouini, M. S. (2004). Harmonic mean and end-to-end performance of transmission systems with relays. IEEE Transactions on Communications, 52(1), 130–135.

    Article  Google Scholar 

  3. Bletsas, A., Khisti, A., Reed, D. P., & Lippman, A. (2006). A simple Cooperative diversity method based on network path selection. IEEE Journal on Selected Areas in Communications, 24(3), 659–672.

    Article  Google Scholar 

  4. Sagias, N. C., Lazarakis, F. I., Tombras, G. S., & Datsikas, C. K. (2008). Outage analysis of decode-and-forward relaying over Nakagami—fading channels. IEEE Signal Processing Letters, 15, 41–44.

    Article  Google Scholar 

  5. Duong, T., Bao, V. N. Q., & Zepernick, Hj. (2009). On the performance of selection decode-and-forward relay networks over Nakagami-m fading channels. IEEE Communicationa Letters, 13(3), 172–174.

    Article  Google Scholar 

  6. Ikki, S. S., & Ahmed, M. H. (2010). Performance analysis of adaptive decode-and-forward cooperative diversity networks with best-relay selection. IEEE Transactions on Communications, 58(1), 68–72.

    Article  Google Scholar 

  7. Soleimani-Nasab, E., Kalantari, A., & Ardebilipour, M. (2013). Performance analysis of selective DF relay networks over Nakagami-\(n\) and Nakagami-\(q\) fading channels. Wireless Communications on Mobile Computing. doi:10.1002/wcm.2301

  8. Soleimani-Nasab, E., Ardebilipour, M., Kalantari, A., & Mahboobi, B. (2013). Performance analysis of multi-antenna relay networks with imperfect channel estimation. Elsevier Journal of Electronics and Communication, 67(1), 45–57.

    Google Scholar 

  9. Soleimani-Nasab, E., Kalantari, A., & Ardebilipour, M. (2011). Performance analysis of selective DF relay networks over Rician fading channels. In IEEE symposium on computers and communications (ISCC) (pp. 117–122).

  10. Kalantari, A., Soleimani-Nasab, E., & Ardebilipour, M. (2011). Performance analysis of best selection DF relay networks over Nakagami-\(n\) fading channels. In Iranian conference on electrical engineering (ICEE).

  11. Soleimani-Nasab, E., Matthaiou, M., & Ardebilipour, M. (2013). Multi-relay MIMO systems with OSTBC over Nakagami-\(m\) fading channels. IEEE Transactions on Vehicular Technology, 62(8).

  12. Li, Q., Ting, S. H., Pandharipande, A., & Han, Y. (2009). Adaptive two-way relaying and outage analysis. IEEE Transactions on Wireless Communications, 8(6), 3288–3299.

    Article  Google Scholar 

  13. Zhang, Y., Ma, Y., & Tafazolli, R. (2010). Power allocation for bidirectional AF relaying over rayleigh fading channels. IEEE Communications on Letters, 14(2), 145–147.

    Article  Google Scholar 

  14. Behnad, A., Beaulieu, N. C., & Maham, B. (2012). Multi-hop amplify-and-forward relaying on Nakagami-0.5 fading channels. IEEE Wireless Communications Letterrs, 1(3), 173–176.

    Article  Google Scholar 

  15. Xia, M., Wu, Y. C., & Aïssa, S. (2012). Exact outage probability of dual-hop CSI-assisted AF relaying over Nakagami-\(m\) fading channels. IEEE Transactions on Signal Processing, 60(10), 5578–5583.

    Article  MathSciNet  Google Scholar 

  16. Soliman, S. S., & Beaulieu, N. C. (2012). Exact analysis of dual-hop AF maximum end-to-end SNR relay selection. IEEE Transactions on Communications, 60(8), 2135–2145.

    Article  Google Scholar 

  17. Soysa, M., Suraweera, H. A., Tellambura, C., & Garg, H. K. (2012). Partial and opportunistic relay selection with outdated channel estimates. IEEE Transactions on Communications, 60(3), 840–850.

    Article  Google Scholar 

  18. Simon, M. K., & Alouini, M. S. (2005). Digital communication over fading channels (2nd ed.). New York: Wiley.

    Google Scholar 

  19. Ikki, S., & Ahmed, M. H. (2007). Performance analysis of cooperative diversity wireless networks over Nakagami-m fading channel. IEEE Communications Letters, 11(4), 334–336.

    Article  Google Scholar 

  20. Speigel, M. R., Lipschutz, S., & Liu, J. (2009). Mathematical Handbook of formulas and tables, schaums outline series (3rd ed.). New York: McGraw-Hill.

    Google Scholar 

  21. Prudnikov, A. P., Brychkov, Y. A., & Marichev, O. I. (1992). Integrals and series: Direct laplace transforms (Vol. 4). Boca Raton: CRC.

    MATH  Google Scholar 

  22. The Wolfram Functions Site. (2013). Available at http://functions.wolfram.com/GammaBetaErf/Gamma2.

  23. Boyd, H. S., & Vandenberghe, L. (2004). Convex optimization. Cambridge: Cambridge University Press.

    Book  MATH  Google Scholar 

  24. Yang, J., Fan, P., Duong, T. Q., & Lei, X. (2011). Exact performance of two-way AF relaying in Nakagami-\(m\) fading environment. IEEE Transactions on Wireless Communications, 10(3), 980–987.

    Article  Google Scholar 

  25. Adinoyi, A., & Yanikomeroglu, H. (2007). Cooperative relaying in multi-antenna fixed relay networks. IEEE Transactions on Wireless Communications, 6(2), 533–544.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. K. N. Toosi University of Technology, Tehran, Iran

    Ehsan Soleimani-Nasab & Mehrdad Ardebilipour

Authors
  1. Ehsan Soleimani-Nasab
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mehrdad Ardebilipour
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ehsan Soleimani-Nasab.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Soleimani-Nasab, E., Ardebilipour, M. Multi-Antenna AF Two-Way Relaying Over Nakagami-\(m\) Fading Channels. Wireless Pers Commun 73, 717–729 (2013). https://doi.org/10.1007/s11277-013-1212-y

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-013-1212-y

Keywords

Search

Navigation