Study of LB-SE with Perfect CSI in Hyper MIMO
Keywords:spectral efficiency, LSF parameters, massive MIMO, fifth generation, precoding
AbstractAnalytical consideration of lower bound (LB) analysis of the spectral efficiency (SE) of downlink transmission of Hyper MIMO (H-MIMO) system is important to obtain insights in the role of various factors that are involved. In this paper, we derived a mathematical expression for lower bound of the SE of an H-MIMO system with linear precoding techniques such as zero-forcing (ZF) and minimum mean square error (MMSE). The analysis of SE considers three joint user and antenna scheduling algorithms such as semi-orthogonal, random, and distance based user scheduling algorithms, whereas the antennas are selected based on maximum SNR with scheduled users. The channel between a user and a transmitter is assumed to have characteristics of small and large scale fading (SSF and LSF) with Rayleigh distributed block fading model. We investigate the effect of variation of transmit power, number of base station antennas M, and the radius of the cell on the SE. We simulate the downlink transmission of H-MIMO system and compare the simulation and analytical results. It is observed that the trends of variation of both results with the variation of different factors are similar, and the difference between the simulated and analytical LB-SE is approximately 1–1.5 bits. In this case the analytical LB is the smaller of the two.
SHEIKH, T.A.; BORA, J.; HUSSAIN, A. “A survey of antenna and user scheduling techniques for massive MIMO-5G wireless system,” Proc. of 2017 Int. Conf. on Current Trends in Computer, Electrical, Electronics and Communication, CTCEEC, 8-9 Sept. 2017, Mysore, India. IEEE, 2017, p.578-583. DOI: https://doi.org/10.1109/ctceec.2017.8455177.
LARSSON, E.G.; EDFORS, O.; TUFVESSON, F.; MARZETTA, T.L. “Massive MIMO for next generation wireless systems,” IEEE Commun. Mag., v.52, n.2, p.186, 2014. DOI: https://doi.org/10.1109/mcom.2014.6736761.
NGO, H.Q. “Massive MIMO: Fundamentals and system designs,” Linkoping Studies in Science and Technology, Dissertations, No. 1642, Linkoping University. 2015, SE-581 83 Linkoping, Sweden. DOI: https://doi.org/10.3384/lic.diva-112780.
RUSEK, F.; PERSSON, D.; LAU, B.K.; LARSSON, E.G.; MARZETTA, T.L.; EDFORS, O.; TUFVESSON, F. “Scaling up MIMO: Opportunities and challenges with very large arrays,” IEEE Signal Processing Mag., v.30, n.1, p.40, 2013. DOI: https://doi.org/10.1109/msp.2011.2178495.
SELVAN, V.P.; IQBAL, M.S.; AL-RAWESHIDY, H.S. “Performance analysis of linear precoding schemes for very large multi-user MIMO downlink system,” Proc. of IEEE Fourth Int. Conf. on Innovative Computing Technology, INTECH, 13-15 Aug. 2014, Luton, UK. IEEE, 2014, p.219-224. DOI: https://doi.org/10.1109/intech.2014.6927765.
SHEIKH, T.A.; BORA, J.; HUSSAIN, M.A. “Sum-rate performance of massive MIMO systems in highly scattering channel with semi-orthogonal and random user selection,” Radioelectron. Commun. Syst., v.61, n.12, p.547, 2018. DOI: https://doi.org/10.3103/s0735272718120026.
ZHAO, L.; ZHENG, K.; LONG, H.; ZHAO, H.; WANG, W. “Performance analysis for downlink massive multiple-input multiple-output system with channel state information delay under maximum ratio transmission precoding,” IET Commun., v.8, n.3, p.390, 2014. DOI: https://doi.org/10.1049/iet-com.2013.0209.
LIN, Y.; LI, X.; FU, W.; HEI, Y. “Spectral efficiency analysis for downlink massive MIMO systems with MRT precoding,” China Commun., v.12, n.Suppl., p.67, 2015. DOI: https://doi.org/10.1109/cc.2015.7386172.
SHEIKH, T.A.; BORA, J.; HUSSAIN, M.A. “Combined user and antenna selection in massive MIMO using precoding technique,” Int. J. Sensors, Wireless Commun. Control, v.9, n.2, p.214, 2019. DOI: https://doi.org/10.2174/2210327908666181112144939.
SHEIKH, T.A.; BORA, J.; HUSSAIN, M.A. “Capacity maximizing in massive MIMO with linear precoding for SSF and LSF channel with perfect CSI,” Digital Commun. Networks, in press, 2019. DOI: https://doi.org/10.1016/j.dcan.2019.08.002.
LU, L.; LI, G.Y.; SWINDLEHURST, A.L.; ASHIKHMIN, A.; ZHANG, R. “An overview of massive MIMO: benefits and challenges,” IEEE J. Selected Topics Signal Process., v.8, n.5, p.742, 2014. DOI: https://doi.org/10.1109/jstsp.2014.2317671.
NGO, H.Q.; LARSSON, E.G.; MARZETTA, T.L. “Energy and spectral efficiency of very large multiusers MIMO systems,” IEEE Trans. Commun., v.61, n.4, p.1436, 2013. DOI: https://doi.org/10.1109/tcomm.2013.020413.110848.
YANG, A.; HE, Z.; XING, C.; FEI, Z.; KUANG, J. “The role of large-scale fading in uplink massive MIMO systems,” IEEE Trans. Vehicular Technol., v.65, n.1, p.477, 2016. DOI: https://doi.org/10.1109/TVT.2015.2397553.
PARFAIT, T.; KUANG, Y.; JERRY, K. “Performance analysis and comparison of ZF and MRT based downlink massive MIMO systems,” Proc. of 2014 Sixth Int. Conf. on Ubiquitous and Future Networks, ICUFN, 8-11 Jul. 2014, Shanghai, China. IEEE, 2014, p.383-388. DOI: https://doi.org/10.1109/icufn.2014.6876818.
YANG, H.; MARZETTA, T.L. “Performance of conjugate and zero-forcing beamforming in large-scale antenna systems,” IEEE J. Selected Areas Commun., v.31, n.2, p.172, 2013. DOI: https://doi.org/10.1109/jsac.2013.130206.
NGO, H.Q.; LARSSON, E.G.; MARZETTA, T.L. “Massive MU-MIMO downlink TDD systems with linear precoding and downlink pilots,” Proc. of 2013 51st Annual Allerton Conf. on Communication, Control, and Computing, 2-4 Oct. 2013, Monticello, IL, USA. IEEE, 2013, p.293-298. DOI: https://doi.org/10.1109/allerton.2013.6736537.
BJORNSON, E.; SANGUINETTI, L.; HOYDIS, J.; DEBBAH, M. “Optimal design of energy-efficient multi-user MIMO systems: Is massive MIMO the answer?,” IEEE Trans. Wireless Commun., v.14, n.6, p.3059, 2015. DOI: https://doi.org/10.1109/TWC.2015.2400437.
ZHAO, L.; ZHAO, H.; HU, F.; ZHENG, K.; ZHANG, J. “Energy efficient power allocation algorithm for downlink massive MIMO with MRT precoding,” Proc. of 2013 IEEE 78th Vehicular Technology Conf., VTC Fall, 2-5 Sept. 2013, Las Vegas, USA. IEEE, 2013, p.1-5. DOI: https://doi.org/10.1109/VTCFall.2013.6692185.
HE, C.; SHENG, B.; ZHU, P.; YOU, X. “Energy efficiency and spectral efficiency tradeoff in downlink distributed antenna systems,” IEEE Wireless Commun. Lett., v.1, n.3, p.153, 2012. DOI: https://doi.org/10.1109/WCL.2012.022812.120048.
TULINO, A.; VERDU, S. Random Matrix Theory and Wireless Communications. Now Foundations and Trends, 2004. DOI: https://doi.org/10.1561/0100000001.