Skip to main content
Log in

Generalized Selection Combining Scheme for Orthogonal Space—Time Block Codes with M-QAM and M-PAM Modulation Schemes

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

Multiple-input multiple-output (MIMO) systems implement multiple antennas to enhance diversity gain of wireless communication systems. Earlier work in generalized selection combining (GSC) focused on single-input multiple-output systems without space–time coding. Recently, with the aid of space–time coding, diversity gain became possible using multiple transmit antennas. In this paper, GSC scheme is applied to orthogonal space–time block codes (OSTBC) for 4 × L and 8 × L MIMO systems with various modulation schemes like M-PSK, M-QAM, and M-PAM in a slowly fading Rayleigh channel. The performance of GSC for half rate-full diversity, full rate-full diversity, and 3/4 rate-full diversity OSTBC is discussed and compared. Approximate closed-form expressions for symbol error rate (SER) and ergodic capacity for various OSTBCs are derived. The impact of channel estimation errors on system performance is also examined. Approximate closed-form expressions for performance bounds on SER and ergodic capacity of GSC for MIMO OSTBC are also derived and plotted.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. Alamouti, S. M. (1998). A simple transmit diversity technique for Wireless communications. IEEE Journal on Selected Areas in Communications, 16(8), 1451–1458.

    Article  Google Scholar 

  2. Deng, Y., Wang, L., Kim, K. J., & Duong, T. Q. (2015). Generalized selection combining for cognitive relay networks over Nakagami-m fading. IEEE Transactions on Signal Processing, 63(8), 1993–2006.

    Article  MathSciNet  Google Scholar 

  3. Li, W., Beaulieu, N. C., & Chen, Y. (2009). Generalized receiver selection combining schemes for Alamouti MIMO systems with MPSK. IEEE Transactions on Communications, 57(6), 1599–1602.

    Article  Google Scholar 

  4. Lozano, A., & Jindal, N. (2010). Transmit diversity vs. spatial multiplexing in modern MIMO systems. IEEE Transactions on Wireless Communications, 9(1), 186–197.

    Article  Google Scholar 

  5. Yu, X., Xia, X. G., & Leung, S. (2016). Performance analysis of MIMO systems with arbitrary number of transmit antenna selection and OSTBC in the presence imperfect CSI. China Information Sciences, 59, 1–16. doi:10.1007/s11432-015-5476-6.

    Google Scholar 

  6. Cao, L., & Beaulieu, N. C. (2004). Exact error-rate analysis of diversity 16-QAM with channel estimation error. IEEE Transactions on Communications, 52(6), 1019–1029.

    Article  Google Scholar 

  7. Zhang, W., & Tellambura, C. (2010). Performance of joint transmit and receive antenna selection with orthogonal space-time coding. IEEE Transactions on Vehicular Technology, 59(5), 2631–2635.

    Article  Google Scholar 

  8. Ma, Y., Schober, R., & Pasupathy, S. (2005). Performance of M-PSK with GSC and EGC with Gaussian weighting errors. IEEE Transactions on Communications, 54(1), 149–162.

    Google Scholar 

  9. Kaviani, S., Tellambura, C., Krzymieri, W. A. (2007). On the performance of transmit antenna selection with OSTBC in Ricean MIMO channels. In CNIT Thyrrenian symposium on wireless communications, Lecture series in Springer Science, pp. 39–50.

  10. Qahtani, F. S., Gurung, A. K., Zummo, S., Mahmoud, S., & Hussain, Z. (2011). Performance evaluation of generalized selection combiner over slow fading channels with estimation errors. Wireless Personal Communications, 56(2), 207–236.

    Article  Google Scholar 

  11. Yeoh, P. L., Elkashlan, M., Yang, N., da Costa, D. B., et al. (2013). Unified analysis of transmit antenna selection in MIMO multirelay networks. IEEE Transactions on Vehicular Technology, 62(2), 933–939.

    Article  Google Scholar 

  12. Kulkarni, M., Choudhary, L., Kumbhani, B., & Singh, R. (2014). Performance analysis of transmit antenna selection with maximal ratio combining and orthogonal space-time block codes in equicorrelated Rayleigh fading multiple input multiple output channels. IET Communications, 8(10), 1850–1858.

    Article  Google Scholar 

  13. Coskun, A. F., & Kucur, O. (2015). Analysis of transmit antenna selection/orthogonal space-time block coding with receive selection and combining in the presence of feedback errors. Wireless Communications and Mobile Computing, 15(17), 2065–2078.

    Article  Google Scholar 

  14. Li, W., & Beaulieu, C. (2006). Effects of channel estimation errors on receiver selection combining diversity for Alamouti MIMO systems with BPSK. IEEE Transactions on Communications, 54(1), 169–178.

    Article  Google Scholar 

  15. Duman, T. M., & Ghrayeb, A. (2007). Coding for MIMO communication systems, Wiley, Chichester, England, eq. (4.34) on page 79.

  16. Jafarkhani, H. (2005). Space-time coding theory and practice (pp. 70–84). NY: Cambridge University Press.

    Book  MATH  Google Scholar 

  17. Bickel, P. J., and Doksum K. (1977) Mathematical statistics: Basic ideas and selected topics (2nd ed., Vol. 1), Prentice Hall, Upper Saddle River, NJ 07458, p. 485.

  18. Win, M. Z., & Winters, J. H. (2001). Virtual branch analysis of symbol error probability for Hybrid Selection/maximal ratio combining in Rayleigh fading channels. IEEE Transactions on Communications, 49(11), 1926–1934.

    Article  MATH  Google Scholar 

  19. Gradshteyn, I. S., & Ryzhik, I. M. (2000). Table of integrals, series and products (6th ed.), eq. (2) of section 3.326 on page 334.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vidhyacharan Bhaskar.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bhaskar, V., Kandpal, D. Generalized Selection Combining Scheme for Orthogonal Space—Time Block Codes with M-QAM and M-PAM Modulation Schemes. Wireless Pers Commun 94, 1619–1641 (2017). https://doi.org/10.1007/s11277-016-3702-1

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-016-3702-1

Keywords

Navigation