Skip to main content
Log in

Performance analysis of scheduled TAS with MRC in the presence of non-identically delayed feedback channels

  • Published:
Wireless Networks Aims and scope Submit manuscript

Abstract

This paper studies the performance of a scheduled transmit antenna selection (TAS) with maximal ratio combining (MRC) in the presence of non-identically delayed feedback channels. This paper derives the probability density function of the scheduled TAS with MRC under non-identical feedback delay channels. Using the distribution, this paper derives exact closed-form expressions of the scheduled TAS with MRC for the outage probability and symbol error rate (SER) with M-ary phase shift keying and quadrature amplitude modulation as well as the ergodic capacity under the non-identical feedback delay channels. We also quantify the diversity order of the outage probability and SER. The asymptotic results show that the receive antenna diversity is only available under non-identical feedback delay channels, while the multi-user diversity and transmit spatial diversity are diminished compared to the perfect channel environment. Further, the performance of the scheduled TAS with MRC in the presence of non-identical feedback delay is significantly improved by the number of receive antennas, while the impact of the number of transmit antennas or correlation coefficients of feedback delay is insignificant.

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. Brennan, D. G. (1959). Linear diversity combining techniques. Proceedings of IRE, 47, 1075–1102.

    Article  Google Scholar 

  2. Zhao, H., Tan, Y., Pan, G., Chen, Y., & Yang, N. (2016). Secrecy outage on transmit antenna selection/maximal ratio combining in MIMO cognitive radio networks. The IEEE Transactions on Vehicular Technology, 65(12), 10236–10242.

    Article  Google Scholar 

  3. AbdelNabi, A., Al-Qahtani, F., Shaqfeh, M., Ikki, S., & Alnuweiri, H. (2016). Performance analysis of MIMO multi-hop system with TAS/MRC in Poisson field of interferers. IEEE Transactions on Communications, 64(2), 525–540.

    Article  Google Scholar 

  4. Yeoh, P., Elkashlan, M., Kim, K., Duong, T., & Karagiannidis, G. (2016). Transmit antenna selection in cognitive MIMO Relaying with multiple primary transceivers. The IEEE Transactions on Vehicular Technology, 65(1), 483–489.

    Article  Google Scholar 

  5. Labao, C., Martin, J., & Jerez, J. (2017). Analysis of correlated MRC with transmit antenna selection under \(\eta\)-\(\mu\) Fading. The IEEE Transactions on Vehicular Technology, 66(9), 8580–8584.

    Article  Google Scholar 

  6. Lei, H., Zhang, J., Park, K., Ansari, I., Pan, G., & Alouini, M. (2017). Secrecy performance of transmit antenna selection for MIMO relay systems with outdated CSI. IET Communications, 11(12), 1961–1969.

    Article  Google Scholar 

  7. Ozyurt, S., & Kucur, O. (2018). Performance analysis of maximal ratio combining with transmit antenna selection and signal space diversity under exponential antenna correlation. IET Communications, 12(5), 612–619.

    Article  Google Scholar 

  8. Ajib, W., & Haccoun, D. (2005). An overview of scheduling algorithms in MIMO based fourth generation wireless systems. IEEE Network, 19(5), 43–48.

    Article  Google Scholar 

  9. Spencer, Q. H., Peel, C. B., Swindlehurst, A. L., & Haardt, M. (2004). An introductin to the multi-user MIMO downlink. IEEE Communications Magazine, 42(10), 60–67.

    Article  Google Scholar 

  10. Viswanath, P., Tse, D. N. C., & Laroia, R. (2002). Opportunistic beamforming using dumb antennas. IEEE Transactions on Information Theory, 48, 1277–1294.

    Article  MathSciNet  Google Scholar 

  11. Zhang, X., Chen, F., & Wang, W. (2007). Outage probability study of multiuser diversity in MIMO transmit antenna selection systems. The IEEE Signal Processing, 14(3), 161–164.

    Article  Google Scholar 

  12. Zhang, X., Lv, Z., & Wang, W. (2008). Performance analysis of multiuser diversity in MIMO systems with antenna selection. IEEE Transactions on Wireless Communications, 7(1), 15–21.

    Article  Google Scholar 

  13. Lee, D., & Noh, Y. (2015). SER analysis of scheduled TAS with MRC in the presence of non-identical channel etimation errors. IEEE Communications Letters, 19(12), 2298–2301.

    Article  Google Scholar 

  14. Lee, D. (2016). Bit error rate analysis of the scheduled TAS with MRC for CR-MIMO systems. Physical Communication, 21, 70–76.

    Article  Google Scholar 

  15. Lee, D. (2017). Performance analysis of scheduled TAS–MRC MIMO systems with multiple interferers. IET Signal, 11(5), 572–578.

    Article  Google Scholar 

  16. Lee, D. (2018). Performance analysis of dual selection with maximal ratio combining over nonidentical imperfect channel estimation. The IEEE Transactions on Vehicular Technology, 67(3), 2819–2823.

    Article  Google Scholar 

  17. Tang, J., & Zhang, X. (2005). Error probability analysis of TAS/MRC-based scheme for wireless networks. In Proceedings of IEEE WCNC (pp. 877–882).

  18. Chen, Z., Yuan, J., & Vucetic, B. (2005). Analysis of transmit antenna selection/maximal-ratio combining in Rayleigh fading channels. The IEEE Transactions on Vehicular Technology, 54(4), 1312–1321.

    Article  Google Scholar 

  19. Balakrishman, N., & Cohen, A. (1991). Order statistics and inference, estimation methods. Cambridge: Academic Press Inc.

    Google Scholar 

  20. Gradshteyn, I. S., & Ryzhik, I. M. (2007). Table of integrals, series, and products (7th ed.). Cambridge: Academic Press Inc.

    MATH  Google Scholar 

  21. Ciang, C., Zhang, H., Han, Z., RAN, Y., Leung, V., & Hanzo, L. (2016). Information-sharing outage-probability analysis of vehicular networks. The IEEE Transactions on Vehicular Technology, 65(12), 9479–9492.

    Article  Google Scholar 

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

    Google Scholar 

  23. Erdelyi, A. (1953). Higher transcendental functions. New York: McGraw-Hill.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Donghun Lee.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lee, D. Performance analysis of scheduled TAS with MRC in the presence of non-identically delayed feedback channels. Wireless Netw 25, 4683–4693 (2019). https://doi.org/10.1007/s11276-018-1761-9

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11276-018-1761-9

Keywords

Navigation