Advertisement

Wireless Personal Communications

, Volume 99, Issue 1, pp 567–580 | Cite as

Performance Evaluation of QAM Schemes for Multiple AF Relay Network Under Rayleigh Fading Channels

  • Nagendra KumarEmail author
  • Vimal Bhatia
Article

Abstract

In this work, we propose theoretical expressions of the moments for instantaneous signal to noise ratio (SNR), the amount of fading, and the average symbol error rate (ASER) for rectangular quadrature amplitude modulation (RQAM), 32-cross QAM, differentially encoded quadri-phase shift keying and \(\pi /4\)-QPSK modulation schemes in multiple amplify-and-forward relay network for maximal ratio combining receiver. To measure the number of independent fading paths over the channel, we provide asymptotic analysis of ASER expression for RQAM at high SNR. The impact of system parameters is also highlighted on the performance metrics. To investigate the correctness of theoretical expressions, we compare numerical results with Monte’ Carlo simulations.

Keywords

Relay network Amplify-and-forward ASER RQAM XQAM DE-QPSK \(\pi /4\)-QPSK 

Notes

Acknowledgements

We would like to thank Ministry of Human Resource Development (MHRD), and Indian Institute of Technology (IIT) Indore, India for research facilities.

References

  1. 1.
    Bulakci, Ö., Redana, S., Raaf, B., & Hämäläinen, J. (2010). Performance enhancement in LTE-advanced relay networks via relay site planning. In 2010 IEEE 71st Vehicular Technology Conference (VTC 2010-Spring) (pp. 1–5). IEEE.Google Scholar
  2. 2.
    Wang, T., Cano, A., Giannakis, G. B., & Laneman, J. N. (2007). High-performance cooperative demodulation with decode-and-forward relays. IEEE Transactions on Communications, 55(7), 1427–1438.CrossRefGoogle Scholar
  3. 3.
    Hasna, M. O., & Alouini, M.-S. (2003). End-to-end performance of transmission systems with relays over Rayleigh-fading channels. IEEE Transactions on Wireless Communications, 2(6), 1126–1131.CrossRefGoogle Scholar
  4. 4.
    Kumar, N., & Bhatia, V. (2015). Performance analysis of amplify-and-forward cooperative networks with best-relay selection over Weibull fading channels. Wireless Personal Communications, 85(3), 641–653.CrossRefGoogle Scholar
  5. 5.
    Kumar, N., & Bhatia, V. (2016). Outage probability and average channel capacity of amplify-and-forward in conventional cooperative communication networks over Rayleigh fading channels. Wireless Personal Communications, 88(4), 943–951.CrossRefGoogle Scholar
  6. 6.
    Brennan, D. (2003). Linear diversity combining techniques. Proceedings of the IEEE, 91(2), 331–356.CrossRefGoogle Scholar
  7. 7.
    Chen, Z., Yuan, J., & Vucetic, B. (2005). Analysis of transmit antenna selection/maximal-ratio combining in Rayleigh fading channels. IEEE Transactions on Vehicular Technology, 54(4), 1312–1321.CrossRefGoogle Scholar
  8. 8.
    Chayawan, C., & Aalo, V. A. (2002). On the outage probability of optimum combining and maximal ratio combining schemes in an interference-limited Rice fading channel. IEEE Transactions on Communications, 50(4), 532–535.CrossRefGoogle Scholar
  9. 9.
    Dixit, D., & Sahu, P. (2012). Symbol error rate of rectangular QAM with best-relay selection in cooperative systems over Rayleigh fading channels. IEEE Communications Letters, 16(4), 466–469.CrossRefGoogle Scholar
  10. 10.
    Simon, M. K., & Alouini, M.-S. (2005). Digital communication over fading channels (2nd ed.). New York, NY: Wiley.Google Scholar
  11. 11.
    Smith, J. G. (1975). Odd-bit quadrature amplitude-shift keying. IEEE Transactions on Communications, 23(3), 385–389.CrossRefGoogle Scholar
  12. 12.
    Abrar, S., & Qureshi, I. M. (2006). Blind equalization of cross-QAM signals. IEEE Signal Processing Letters, 13(12), 745.CrossRefGoogle Scholar
  13. 13.
    Panigrahi, S., & Le-Ngoc, T. (2005). Fine-granularity loading schemes using adaptive Reed-Solomon coding for discrete multitone modulation systems. In 2005 IEEE International Conference on Communications, 2005. ICC 2005 (Vol. 2, pp. 1352–1356). IEEE.Google Scholar
  14. 14.
    Ikki, S. S., & Ahmed, M. H. (2008). Performance of multiple-relay cooperative diversity systems with best relay selection over Rayleigh fading channels. EURASIP Journal on Advances in Signal Processing, 2008, 1–7.CrossRefGoogle Scholar
  15. 15.
    Shin, H., & Lee, J. H. (2004). On the error probability of binary and M-ary signals in Nakagami-m fading channels. IEEE Transactions on Communications, 52(4), 536–539.CrossRefGoogle Scholar
  16. 16.
    Annamalai, A., & Tellambura, C. (2001). Error rates for Nakagami-m fading multichannel reception of binary and M-ary signals. IEEE Transactions on Communications, 49(1), 58–68.CrossRefzbMATHGoogle Scholar
  17. 17.
    Lei, X., Fan, P., & Hao, L. (2007). Exact symbol error probability of general order rectangular QAM with MRC diversity reception over Nakagami-m fading channels. IEEE Communications Letters, 11(12), 958–960.CrossRefGoogle Scholar
  18. 18.
    Romero-Jerez, J. M., & Goldsmith, A. J. (2009). Performance of multichannel reception with transmit antenna selection in arbitrarily distributed Nagakami fading channels. IEEE Transactions on Wireless Communications, 8(4), 2006–2013.CrossRefGoogle Scholar
  19. 19.
    Dixit, D., & Sahu, P. (2014). Performance analysis of rectangular QAM with SC receiver over Nakagami-fading channels. IEEE Communications Letters, 18(7), 1262–1265.CrossRefGoogle Scholar
  20. 20.
    Zhang, X.-C., Yu, H., & Wei, G. (2010). Exact symbol error probability of cross-QAM in AWGN and fading channels. EURASIP Journal on Wireless Communications and Networking, 2010, 1–9.CrossRefGoogle Scholar
  21. 21.
    Yu, H., Wei, G., Ji, F., & Zhang, X. (2011). On the error probability of cross-QAM with MRC reception over generalized-fading channels. IEEE Transactions on Vehicular Technology, 60(6), 2631–2643.CrossRefGoogle Scholar
  22. 22.
    Torabi, M., Ajib, W., & Haccoun, D. (2009). Performance analysis of amplify-and-forward cooperative networks with relay selection over Rayleigh fading channels. In IEEE 69th Vehicular Technology Conference, 2009. VTC Spring 2009 (pp. 1–5). IEEE.Google Scholar
  23. 23.
    Kumar, N., Bhatia, V., & Dixit, D. (2017). Performance analysis of QAM in amplify-and-forward cooperative communication networks over Rayleigh fading channels. AEU-International Journal of Electronics and Communications, 72, 86–94.CrossRefGoogle Scholar
  24. 24.
    Gradshteyn, I., & Ryzhik, I. (2007). Table of integrals, series, and products (7th ed.). SanDiego: Academic Press.zbMATHGoogle Scholar
  25. 25.
    Verdú, S. (2002). Spectral efficiency in the wideband regime. IEEE Transactions on Information Theory, 48(6), 1319–1343.MathSciNetCrossRefzbMATHGoogle Scholar
  26. 26.
    Shi, Q., & Karasawa, Y. (2012). Some applications of Lauricella hypergeometric function \({F_A}\) in performance analysis of wireless communications. IEEE Communications Letters, 16(5), 581–584.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2017

Authors and Affiliations

  1. 1.IIT IndoreIndoreIndia

Personalised recommendations