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.
Similar content being viewed by others
References
Brennan, D. G. (1959). Linear diversity combining techniques. Proceedings of IRE, 47, 1075–1102.
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.
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.
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.
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.
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 Secrecy performance of transmit antenna selection for MIMO relay systems with outdated CSI.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.
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.
Ajib, W., & Haccoun, D. (2005). An overview of scheduling algorithms in MIMO based fourth generation wireless systems. IEEE Network, 19(5), 43–48.
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.
Viswanath, P., Tse, D. N. C., & Laroia, R. (2002). Opportunistic beamforming using dumb antennas. IEEE Transactions on Information Theory, 48, 1277–1294.
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.
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.
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.
Lee, D. (2016). Bit error rate analysis of the scheduled TAS with MRC for CR-MIMO systems. Physical Communication, 21, 70–76.
Lee, D. (2017). Performance analysis of scheduled TAS–MRC MIMO systems with multiple interferers. IET Signal, 11(5), 572–578.
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.
Tang, J., & Zhang, X. (2005). Error probability analysis of TAS/MRC-based scheme for wireless networks. In Proceedings of IEEE WCNC (pp. 877–882).
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.
Balakrishman, N., & Cohen, A. (1991). Order statistics and inference, estimation methods. Cambridge: Academic Press Inc.
Gradshteyn, I. S., & Ryzhik, I. M. (2007). Table of integrals, series, and products (7th ed.). Cambridge: Academic Press Inc.
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.
Simon, M. K., & Alouini, M.-S. (2005). Digital communication over fading channels (2nd ed.). New York: Wiley.
Erdelyi, A. (1953). Higher transcendental functions. New York: McGraw-Hill.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
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
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11276-018-1761-9