Abstract
Channel impairments are major limiting factors in the performance of large-scale antenna systems. In this paper, we analyze the impacts of practical channel impairments caused by pilot contamination, Doppler shift, and phase noise on the downlink spectral efficiency of large-scale distributed antenna systems (L-DASs) with maximum ratio transmission (MRT) and zero-forcing (ZF) beamforming, in which per user power normalization is considered. Using a joint channel model that allows study of the simultaneous impacts of these channel impairments, we derive accurate and tractable closed-form approximations for the ergodic achievable downlink rate, thereby enabling spectral efficiency analysis of L-DASs and an efficient evaluation of the impacts of the channel impairments. It is shown that channel impairments reduce the downlink spectral efficiency and have a significant impact on ZF beamforming. The asymptotic user rate limit is also determined, from which we analyze the asymptotic performance of L-DASs with channel impairments. The analytical results show that MRT and ZF beamforming achieve the same asymptotic performance limit even with channel impairments. It is also found that the use of a large-scale antenna array at the base station sides can weaken the impacts of channel impairments.
This is a preview of subscription content, access via your institution.
References
- 1
Marzetta T L. Noncooperative cellular wireless with unlimited numbers of base station antennas. IEEE Trans Wirel Commun, 2010, 9: 3590–3600
- 2
Wang D, Zhang Y, Wei H, et al. An overview of transmission theory and techniques of large-scale antenna systems for 5G wireless communications. Sci China Inf Sci, 2016, 59: 081301
- 3
Lu L, Li G Y, Swindlehurst A L, et al. An overview of massive MIMO: benefits and challenges. IEEE J Sel Top Signal Process, 2014, 8: 742–758
- 4
Rusek F, Persson D, Lau B K, et al. Scaling up MIMO: opportunities and challenges with very large arrays. IEEE Signal Process Mag, 2013, 30: 40–60
- 5
Zhang J, Wen C K, Jin S, et al. On capacity of large-scale MIMO multiple access channels with distributed sets of correlated antennas. IEEE J Sel Areas Commun, 2013, 31: 133–148
- 6
Fernandes F, Ashikhmin A, Marzetta T L. Inter-cell interference in noncooperative TDD large scale antenna systems. IEEE J Sel Areas Commun, 2013, 31: 192–201
- 7
Adhikary A, Ashikhmin A, Marzetta T L. Uplink interference reduction in large scale antenna systems. In: Proceedings of IEEE International Symposium on Information Theory, Honolulu, 2014. 2529–2533
- 8
Wen C K, Jin S, Wong K K, et al. Channel estimation for massive MIMO using gaussian-mixture Bayesian learning. IEEE Trans Wirel Commun, 2015, 14: 1356–1368
- 9
Truong K T, Heath R W. Effects of channel aging in massive MIMO systems. J Commun Netw, 2013, 15: 338–351
- 10
Papazafeiropoulos A K, Ngo H Q, Matthaiou M, et al. Uplink performance of conventional and massive MIMO cellular systems with delayed CSIT. In: Proceedings of IEEE International Symposium on Personal, Indoor, and Mobile Radio Communication (PIMRC), Washington, 2014. 601–606
- 11
Papazafeiropoulos A K, Ratnarajah T. Deterministic equivalent performance analysis of time-varying massive MIMO systems. IEEE Trans Wirel Commun, 2015, 14: 5795–5809
- 12
Papazafeiropoulos A K. Impact of user mobility on optimal linear receivers in cellular networks. In: Proceedings of IEEE International Conference on Communications (ICC), London, 2015. 2239–2244
- 13
Guo K, Khodapanah B, Ascheid G. Performance analysis of downlink MMSE beamforming training in TDD MUmassive-MIMO. In: Proceedings of IEEE Wireless Communications and Networking Conference (WCNC), Doha, 2016
- 14
Pitarokoilis A, Moammed S K, Larsson E G. Achievable rates of ZF receivers in massive MIMO with phase noise impairments. In: Proceedings of Asilomar Conference on Signals, Systems and Computers, Pacific Grove, 2013. 1004–1008
- 15
Pitarokoilis A, Mohammed S K, Larsson E G. Uplink performance of time-reversal MRC in massive MIMO systems subject to phase noise. IEEE Trans Wirel Commun, 2015, 14: 711–723
- 16
Bjornson E, Matthaiou M, Debbah M. Massive MIMO with non-ideal arbitrary arrays: hardware scaling laws and circuit-aware design. IEEE Trans Wirel Commun, 2015, 14: 4353–4368
- 17
Corvaja R, Armada A G. Phase noise degradation in massive MIMO downlink with zero-forcing and maximum ratio transmission precoding. IEEE Trans Veh Technol, 2016, 65: 8052–8059
- 18
Zhu J, Schober R, Bhargava V K. Physical layer security for massive MIMO systems impaired by phase noise. In: Proceedings of the 17th International Workshop on Signal Processing Advances inWireless Communications (SPAWC), Edinburgh, 2016
- 19
Larsson E, Edfors O, Tufvesson F, et al. Massive MIMO for next generation wireless systems. IEEE Commun Mag, 2014, 52: 184–195
- 20
Lee S R, Moon S H, Kim J S, et al. Capacity analysis of distributed antenna systems in a composite fading channel. IEEE Trans Wirel Commun, 2012, 11: 1076–1086
- 21
Zhu P, You X, Li J, et al. Spectral efficiency analysis of large-scale distributed antenna system in a composite correlated Rayleigh fading channel. IET Commun, 2015, 9: 681–688
- 22
Wang D M, You X H, Wang J Z, et al. Spectral efficiency of distributed MIMO cellular systems in a composite fading channel. In: Proceedings of IEEE International Conference on Communications (ICC’08), Prague, 2008. 1259–1264
- 23
Wang J, Dai L. Asymptotic rate analysis of downlink multi-user systems with co-located and distributed antennas. IEEE Trans Wirel Commun, 2015, 14: 3046–3058
- 24
Wang J, Dai L. Downlink rate analysis for virtual-cell based large-scale distributed antenna systems. IEEE Trans Wirel Commun, 2016, 15: 1998–2011
- 25
Björnson E, Matthaiou M, Pitarokoilis A, et al. Distributed massive MIMO in cellular networks: impact of imperfect hardware and number of oscillators. In: Proceedings of European Signal Processing Conference (EUSIPCO), Nice, 2015. 2436–2440
- 26
Papazafeiropoulos A K. Impact of general channel aging conditions on the downlink performance of massive MIMO. IEEE Trans Veh Technol, 2017, 66: 1428–1442
- 27
Li J M, Wang D M, Zhu P C, et al. Uplink spectral efficiency analysis of distributed massive MIMO with channel impairments. IEEE Access, 2017, 5: 5020–5030
- 28
Interdonato G, Ngo H Q, Larsson E G, et al. How much do downlink pilots improve cell-free massive MIMO? In: Proceedings of IEEE Global Communications Conference (GLOBECOM), Washington, 2016
- 29
Li J, Wang D, Zhu P, et al. Downlink spectral efficiency of distributed massive MIMO systems with linear beamforming under pilot contamination. IEEE Trans Veh Technol, 2018, 67: 1130–1145
- 30
Jakes W C. Microwave Mobile Communications. New York: Wiley, 1974
- 31
Krishnan R, Khanzadi M R, Krishnan N, et al. Linear massive MIMO precoders in the presence of phase noise–a large-scale analysis. IEEE Trans Veh Technol, 2016, 65: 3057–3071
- 32
Carvalho E de, Björnson E, Larsson E G, et al. Random access for massive MIMO systems with intra-cell pilot contamination. In: Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Shanghai, 2016. 3361–3365
- 33
Truong K T, Lozano A, Heath R W, et al. Optimal training in continuous flat-fading massive MIMO systems. In: Proceedings of European Wireless Conference, Barcelona, 2014
- 34
Kay S M. Fundamental of Statistical Signal Processing: Estimation Theory. Englewood: Prentice-Hall, 1993
- 35
Jose J, Ashikhmin A, Marzetta T L, et al. Pilot contamination and precoding in multi-cell TDD systems. IEEE Trans Wirel Commun, 2011, 10: 2640–2651
- 36
Björnson E, Larsson E G, Marzetta T L. Massive MIMO: ten myths and one critical question. IEEE Commun Mag, 2016, 54: 114–123
- 37
Björnson E, Larsson E G, Debbah M. Massive MIMO for maximal spectral efficiency: how many users and pilots should be allocated? IEEE Trans Wirel Commun, 2016, 15: 1293–1308
- 38
Van Chien T, Bjornson E, Larsson E G. Joint power allocation and user association optimization for massive MIMO systems. IEEE Trans Wirel Commun, 2016, 15: 6384–6399
- 39
Hoydis J, Brink S ten, Debbah M. Massive MIMO in the UL/DL of cellular networks: how many antennas do we need? IEEE J Sel Areas Commun, 2013, 31: 160–171
- 40
Kammoun A, Muller A, Bjornson E, et al. Linear precoding based on polynomial expansion: large-scale multi-cell MIMO systems. IEEE J Sel Top Signal Process, 2014, 8: 861–875
- 41
Li J M, Wang D M, Zhu P C, et al. Downlink spectral efficiency of multi-cell multi-user large-scale DAS with pilot contamination. In: Proceedings of IEEE International Conference on Communications (ICC), London, 2015. 2011–2016
- 42
Heath J R W, Wu T, Kwon Y H, et al. Multiuser MIMO in distributed antenna systems with out-of-cell interference. IEEE Trans Signal Process, 2011, 59: 4885–4899
- 43
Zhang J, Andrews J G. Adaptive spatial intercell interference cancellation in multicell wireless networks. IEEE J Sel Areas Commun, 2010, 28: 1455–1468
- 44
Hosseini K, Yu W, Adve R S. Large-scale MIMO versus network MIMO for multicell interference mitigation. IEEE J Sel Top Signal Process, 2014, 8: 930–941
- 45
Hosseini K, Yu W, Adve R S. Modeling and analysis of ergodic capacity in network MIMO systems. In: Proceedings of IEEE Globecom Workshops (GC Wkshps), Austin, 2014. 808–814
- 46
Hosseini K, Yu W, Adve R S. A stochastic analysis of network MIMO systems. IEEE Trans Signal Process, 2016, 64: 4113–4126
- 47
Seifi N, Heath R W, Coldrey M, et al. Joint transmission mode and tilt adaptation in coordinated small-cell networks. In: Proceedings of IEEE International Conference on Communications Workshops (ICC), Sydney, 2016. 598–603
Acknowledgements
This work was supported in part by National Natural Science Foundation of China (NSFC) (Grant Nos. 61501113, 61571120, 61271205, 61521061, 61372100,), and Jiangsu Provincial Natural Science Foundation (Grant Nos. BK20150630, BK20151415).
Author information
Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Li, J., Wang, D., Zhu, P. et al. Impacts of practical channel impairments on the downlink spectral efficiency of large-scale distributed antenna systems. Sci. China Inf. Sci. 62, 22303 (2019). https://doi.org/10.1007/s11432-018-9413-6
Received:
Revised:
Accepted:
Published:
Keywords
- Doppler shift
- phase noise
- large-scale distributed antenna systems
- spectral efficiency
- pilot contamination