Abstract
In this paper, a channel estimation (CE) and precoding scheme by using H-infinity (H-inf) criterion for mitigation of pilot contamination (PC) in massive multiple input multiple output (MIMO) orthogonal frequency division multiplexing (OFDM) systems is investigated. Firstly, different thresholds in H-inf CE and precoding are considered. Secondly, asymptotic analysis is presented to simplify the H-inf precoding, which shows that the complexity of an order of magnitude is reduced. Thirdly, approximate downlink achievable data rates per user are studied for different CE and precoding schemes, such as H-inf and minimum mean square error (MMSE) CE, MMSE, zero-forcing (ZF) and H-inf precoding. The analysis shows that the proposed scheme can provide dual mitigation to the PC. That is, the H-inf CE mitigates the PC by adjusting its thresholds, and the H-inf precoding is utilized to suppress the PC by considering inter-cell interference. The numerical results show that joint use of H-inf CE and H-inf precoding outperforms existing schemes in terms of mitigation to the PC.
Similar content being viewed by others
References
Gesbert D, Shafi M, Shiu D, et al. From theory to practice: an overview of MIMO space-time coded wireless systems. IEEE J Sel Areas Commun, 2003, 21: 281–302
Wang J Z, Zhu H L, Gomes N. Distributed antenna systems for mobile communications in high speed trains. IEEE J Sel Areas Commun, 2012, 30: 675–683
Zhu H L. Performance comparison between distributed antenna and microcellular systems. IEEE J Sel Areas Commun, 2011, 29: 1151–1163
Marzetta T L. Noncooperative cellular wireless with unlimited numbers of base station antennas. IEEE Trans Wirel Commun, 2010, 9: 3590–3600
Wang D M, 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
Xin Y X, Wang D M, Li J M, et al. Area spectral efficiency and area energy efficiency of massive MIMO cellular systems. IEEE Trans Veh Technol, 2016, 65: 3243–3254
Wei H, Wang D M, Wang J Z, et al. Impact of RF mismatches on the performance of massive MIMO systems with ZF precoding. Sci China Inf Sci, 2016, 59: 022302
Wei H, Wang D M, Zhu H L, et al. Mutual coupling calibration for multiuser massive MIMO systems. IEEE Trans Wirel Commun, 2016, 15: 606–619
Garcia V, Zhou Y Q, Shi J L. Coordinated multipoint transmission in dense cellular networks with user-centric adaptive clustering. IEEE Trans Wirel Commun, 2014, 13: 4297–4308
Zhou Y Q, Liu H, Pan Z G, et al. Spectral and energy efficient two-stage cooperative multicast for LTE-A and beyond. IEEE Wirel Commun, 2014, 21: 34–41
Gao F F, Zhang K Q. Enhanced multi-parameter cognitive architecture for future wireless communications. IEEE Commun Mag, 2015, 53: 86–92
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: 40–46
Ngo H Q, Larsson E G, Marzetta T L. Energy and spectral efficiency of very large multiuser MIMO systems. IEEE Trans Commun, 2013, 61: 1436–1449
Larsson E G, Edfors O, Tufvesson F, et al. Massive MIMO for next generation wireless systems. IEEE Commun Mag, 2014, 52: 186–195
Ngo H Q, Matthaiou M, Duong T Q, et al. Uplink performance analysis of multiuser MU-SIMO systems with ZF receivers. IEEE Trans Veh Technol, 2013, 62: 4471–4483
Wang D M, Ji C, Gao X Q, et al. Uplink sum-rate analysis of multi-cell multi-user massive MIMO system. In: Proceedings of IEEE International Conference on Communications, Budapest, 2013. 5404–5408
Yin H, Gesbert D, Filippou M, et al. A coordinated approach to channel estimation in large-scale multiple-antenna systems. IEEE J Sel Areas Commun, 2013, 31: 264–273
Shariati N, Björnson E, Bengtsson M, et al. Low-complexity channel estimation in large-scale MIMO using polynomial expansion. In: Proceedings of IEEE Annual International Symposium on Personal, Indoor, and Mobile Radio Communications, London, 2013. 1158–1162
Ngo H Q, Larsson E G. EVD-based channel estimation in multicell multiuser MIMO systems with very large antenna array. In: Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing, Kyoto, 2012. 3249–3252
Guo K F, Guo Y, Ascheid G. On the performance of EVD-based channel estimations in MU-massive-MIMO Systems. In: Proceedings of IEEE Annual International Symposium on Personal, Indoor, and Mobile Radio Communications, London, 2013. 1376–1380
Ma J J, Li P. Data-aided channel estimation in large antenna system. IEEE Trans Signal Process, 2014, 62: 3111–3124
Nguyen S, Ghrayeb A. Compressive sensing-based channel estimation for massive multiuser MIMO systems. In: Proceedings of IEEE Wireless Communications and Networking Conference, Shanghai, 2013. 2890–2895
Peel C, Hochwald B, Swindlehurst A. A vector-perturbation technique for near-capacity multiantenna multiuser communication—Part I: channel inversion and regularization. IEEE Trans Commun, 2005, 53: 195–202
Gao X, Edfors O, Rusek F, et al. Linear pre-coding performance in measured very-large MIMO channels. In: Proceedings of IEEE Vehicular Technology Conference, San Francisco, 2011. 1–5
Hoydis J, Brink S T, 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
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
Cao C T, Xie L H, Zhang L S. H8 channel estimator design for DS-CDMA systems: a polynomial approach in Krein space. IEEE Trans Veh Technol, 2008, 57: 819–827
Xu P, Wang J K, Qi F. EM-based H-inf channel estimation in MIMO-OFDM systems. In: Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing, Kyoto, 2012. 3189–3192
Xu P, Wang J Z, Wang J K, et al. Analysis and design of channel estimation in multi-cell multi-user MIMO OFDM systems. IEEE Trans Veh Technol, 2015, 64: 610–620
Zhu H L, Wang J Z. Chunk-based resource allocation in OFDMA systems—Part I: chunk allocation. IEEE Trans Commun, 2009, 57: 2734–2744
Zhu H L, Wang J Z. Chunk-based resource allocation in OFDMA systems—Part II: joint chunk, power and bit allocation. IEEE Trans Commun, 2012, 60: 499–509
Zhu H L. Radio resource allocation for OFDMA systems in high speed environments. IEEE J Sel Areas Commun, 2012, 30: 748–759
Barhumi I, Leus G, Moonen M. Optimal training design for MIMO OFDM systems in mobile wireless channels. IEEE Trans Signal Process, 2003, 51: 1615–1624
Xie Y Z, Georghiades C N. Two EM-type channel estimation algorithms for OFDM with transmitter diversity. IEEE Trans Commun, 2003, 51: 106–115
Gao J, Liu H P. Low-complexity MAP channel estimation for mobile MIMO-OFDM systems. IEEE Trans Wirel Commun, 2008, 7: 774–780
Xu P, Wang J Z, Wang J K. Multi-cell H-inf precoding in massive MIMO systems. In: Proceedings of IEEE International Conference on Communications, Sydney, 2014. 4483–4487
Acknowledgements
This work was supported by Basic Scientific Research Business Expenses of China (Grant No. N152304009), National Natural Science Foundation of China (Grant Nos. 61271205, 61374097, 61300195, 61473066, 61403069).
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Xu, P., Wang, D. & Qi, F. On the use of H-inf criterion in channel estimation and precoding in massive MIMO systems. Sci. China Inf. Sci. 60, 022311 (2017). https://doi.org/10.1007/s11432-016-0476-0
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11432-016-0476-0