Infinite Capacity and Unbounded Spectral Efficiency in Massive MIMO Networks: Overcoming Pilot Contamination with MC-MMSE Precoding and Combining
Keywords:
Channel Estimation, Coherent Interference, Massive MIMO, MC-MMSE Precoding/Combining, Pilot Contamination, Spatial Multiplexing, Spectral Efficiency, Uplink Data Transmission.Abstract
Massive Multiple-Input Multiple-Output (MIMO) technology, hailed as a cornerstone for next-generation cellular networks, has been marred by the challenge of pilot contamination, which was widely believed to impose a finite limit on network capacity. This research reevaluates this notion, employing Multi-Cell Minimum Mean Square Error (MC-MMSE) precoding and combining techniques. Unlike previous studies relying on rudimentary models and suboptimal strategies, we demonstrate that capacity in Massive MIMO networks grows infinitely as the number of antennas, M, increases. By ensuring asymptotically linearly independent covariance matrices and employing MC-MMSE, both uplink and downlink spectral efficiencies were observed to rise without bounds. Our findings, supported by extensive simulations, challenge prior assumptions, paving the way for harnessing the full potential of Massive MIMO technology, even in the face of pilot contamination. This research fundamentally alters our understanding of the capacity limits in Massive MIMO networks, opening new avenues for higher spectral efficiency and unbounded network performance.
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E. G. Larsson, F. Tufvesson, O. Edfors, and T. L. Marzetta, “Massive MIMO for next generation wireless systems,” IEEE Commun. Magazine, vol. 52, no. 2, pp. 186–195, Feb. 2014. doi: 10.1109/MCOM.2014.6736761
T. L. Marzetta, “Noncooperative cellular wireless with unlimited numbers of base station antennas,” IEEE Trans. Wireless Commun., vol. 9, no. 11, pp. 3590–3600, Nov. 2010. doi: 10.1109/TWC.2010.092810.091092
Amany Mohamed Saleh,Mahmoud Mohamed Elmesalawy,Korany Mahmoud,Ibrahim Ismail Ibrahim “Beamforming for 5G Cellular Communications with Analyzing the Linear and Circular Polarized Antenna Arrays Gain Effect” Progress In Electromagnetics Research C, Vol. 119, 201-217, 2022 doi:10.2528/PIERC22022205
J. G. Andrews, S. Buzzi, W. Choi, S. V. Hanly, A. Lozano, A. C. K.Soong, and J. C. Zhang, “What will 5G be?” IEEE J. Sel. Areas Commun., vol. 32, no. 6, pp. 1065–1082, Jun. 2014. doi: 10.1109/JSAC.2014.2328098
J. Hoydis, S. Ten Brink, and M. Debbah, “Massive MIMO in the UL/DL of cellular networks: How many antennas do we need?” IEEE J. Sel.Areas Commun., vol. 31, no. 2, pp. 160–171, Feb. 2013. doi:10.1109/JSAC.2013.130205
K. Guo, Y. Guo, G. Fodor, and G. Ascheid, “Uplink power control with MMSE receiver in multi-cell MU-massive-MIMO systems,” in Proc. IEEE ICC, 2014, pp. 5184–5190. doi:10.1109/ICC.2014.6884144
N. Krishnan, R. D. Yates, and N. B. Mandayam, “Uplink linear receivers for multi-cell multiuser MIMO with pilot contamination: large system analysis,” IEEE Trans. Wireless Commun., vol. 13, no. 8, pp. 4360–4373, Aug. 2014. doi: 10.1109/TWC.2014.2320914
H. Ngo, M. Matthaiou, and E. G. Larsson, “Performance analysis of large-scale MU-MIMO with optimal linear receivers,” in Proc. IEEE Swe-CTW, 2012, pp. 59–64. doi: 10.1109/Swe-CTW.2012.6376290
X. Li, E. Bjornson, E. G. Larsson, S. Zhou, and J. Wang, “Massive MIMO with multi-cell MMSE processing: Exploiting all pilots for interference suppression,” EURASIP Journal on Wireless Communications and Networking, no. 117, Jun. 2017. doi: 10.1186/s13638-017-0879-2
H. Yin, D. Gesbert, M. Filippou, and Y. Liu, “A coordinated approach to channel estimation in large-scale multiple-antenna systems,” IEEE J. Sel. Areas Commun., vol. 31, no. 2, pp. 264–273, Feb. 2013. doi:10.1109/JSAC.2013.130214
A. Adhikary, J. Nam, J.-Y. Ahn, and G. Caire, “Joint spatial division and multiplexing—the large-scale array regime,” IEEE Trans. Inf. Theory, vol. 59, no. 10, pp. 6441–6463, Oct. 2013. doi: 10.1109/TIT.2013.2269476
L. You, X. Gao, X.-G. Xia, N. Ma, and Y. Peng, “Pilot reuse for massive MIMO transmission over spatially correlated Rayleigh fading channels,”IEEE Trans. Wireless Commun., vol. 14, no. 6, pp. 3352–3366, Jun. 2015. doi: 10.1109/TWC.2015.2404839
X. Gao, O. Edfors, F. Rusek, and F. Tufvesson, “Massive MIMO performance evaluation based on measured propagation data,” IEEE Trans. Wireless Commun., vol. 14, no. 7, pp. 3899–3911, Jul. 2015. doi: 10.1109/TWC.2015.2414413
M. Li, S. Jin, and X. Gao, “Spatial orthogonality-based pilot reuse for multi-cell massive MIMO transmission,” in Proc. WCSP, 2013. doi: 10.1109/WCSP.2013.6677139
H. Q. Ngo and E. Larsson, “EVD-based channel estimations for multicell multiuser MIMO with very large antenna arrays,” in Proc. IEEE ICASSP, 2012. doi: 10.1109/ICASSP.2012.6288608
R. M¨uller, L. Cottatellucci, and M. Vehkaper¨a, “Blind pilot decontamination,” IEEE J. Sel. Topics Signal Process., vol. 8, no. 5, pp. 773–786, Oct. 2014. doi: 10.1109/JSTSP.2014.2310053
D. Hu, L. He, and X. Wang, “Semi-blind pilot decontamination for massive MIMO systems,” IEEE Trans. Wireless Commun., vol. 15, no. 1, pp. 525–536, Jan. 2016. doi:10.1109/TWC.2015.2475745
H. Yin, L. Cottatellucci, D. Gesbert, R. R. M¨uller, and G. He, “Robust pilot decontamination based on joint angle and power domain discrimination,” IEEE Trans. Signal Process., vol. 64, no. 11, pp. 2990–3003, Jun. 2016.doi: 10.1109/TSP.2016.2535204
J. Vinogradova, E. Bjornson, and E. G. Larsson, “On the separability of signal and interference-plus-noise subspaces in blind pilot decontamination,” in Proc. IEEE ICASSP, 2016. doi: 10.1109/ICASSP.2016.7472312
J. Zhang, B. Zhang, S. Chen, X. Mu, M. El-Hajjar, and L. Hanzo, “Pilot contamination elimination for large-scale multiple-antenna aided OFDM systems,” IEEE J. Sel. Topics Signal Process., vol. 8, no. 5, pp. 759–772, Oct. 2014. doi: 10.1109/JSTSP.2014.2309936
T. X. Vu, T. A. Vu, and T. Q. S. Quek, “Successive pilot contamination elimination in multiantenna multicell networks,” IEEE Wireless Commun. Lett., vol. 3, no. 6, pp. 617–620, Dec. 2014. doi: 10.1109/LWC.2014.2361518
A. Ashikhmin and T. Marzetta, “Pilot contamination precoding in multicell large scale antenna systems,” in IEEE International Symposium on Information Theory Proceedings (ISIT), 2012, pp. 1137–1141.doi: 10.1109/ISIT.2012.6283031
L. Li, A. Ashikhmin, and T. Marzetta, “Pilot contamination precoding for interference reduction in large scale antenna systems,” in Allerton, 2013, pp. 226–232. doi: 10.1109/Allerton.2013.6736528
E. Bjornson, J. Hoydis, and L. Sanguinetti, “Pilot contamination is not a fundamental asymptotic limitation in massive MIMO,” in Proc. IEEE ICC, 2017. doi: 10.1109/ICC.2017.7996674
Jose, J., Ashikhmin, A., Marzetta, T.L., Vishwanath, S.: Pilot contamination and precoding in multi-cell TDD systems. IEEE Trans. Commun. 10(8), 2640–2651 (2011) doi: 10.1109/TWC.2011.060711.101155
T. L. Marzetta, E. G. Larsson, H. Yang, and H. Q. Ngo, Fundamentals of Massive MIMO. Cambridge University Press, 2016.
https://doi.org/10.1017/CBO9781316799895
Goldsmith, A., Jafar, S., Jindal, N., Vishwanath, S.: Capacity limits of MIMO channels. IEEE J. Sel. Areas Commun. 21(5), 684–702 (2003). doi:10.1109/JSAC.2003.810294
Bjornson, E., Larsson, E., Debbah, M.: Massive MIMO for maximal spectral efficiency: How many users and pilots should be allocated? IEEE Trans.Wireless Commun. 15(2), 1293–1308 (2016) doi: 10.1109/TWC.2015.2488634
X. Gao, O. Edfors, F. Tufvesson, and E. G. Larsson, “Massive MIMO in real propagation environments: Do all antennas contribute equally?”IEEE Trans. Commun., vol. 63, no. 11, pp. 3917–3928, Nov. 2015. doi: 10.1109/TCOMM.2015.2462350
N. Shariati, E. Bj¨ornson, M. Bengtsson, and M. Debbah, “Lowcomplexity polynomial channel estimation in large-scale MIMO with arbitrary statistics,” IEEE J. Sel. Topics Signal Process., vol. 8, no. 5, pp. 815–830, Oct. 2014. doi: 10.1109/JSTSP.2014.2316063
C. Sun, X. Gao, S. Jin, M. Matthaiou, Z. Ding, and C. Xiao, “Beam division multiple access transmission for massive MIMO communications,” IEEE Trans. Commun., vol. 63, no. 6, pp. 2170–2184, Jun. 2015. doi: 10.1109/TCOMM.2015.2425882
E. Bjornson, L. Sanguinetti, and M. Debbah, “Massive MIMO with imperfect channel covariance information,” in Proc. ASILOMAR, 2016. doi: 10.1109/ACSSC.2016.7869195
S. Haghighatshoar and G. Caire, “Massive MIMO pilot decontamination and channel interpolation via wideband sparse channel estimation,” CoRR, vol. abs/1702.07207, 2017. doi: 10.1109/TWC.2017.2760825
S. Loyka, “Channel capacity of MIMO architecture using the exponential correlation matrix,” IEEE Commun. Lett., vol. 5, no. 9, pp. 369–371, Sep. 2001. doi: 10.1109/4234.951380
R. Couillet and M. Debbah, Random matrix methods for wireless communications. Cambridge University Press, 2011. online ISBN 9780511994746
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