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On the use of H-inf criterion in channel estimation and precoding in massive MIMO systems

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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.

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References

  1. 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

    Article  Google Scholar 

  2. 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

    Article  Google Scholar 

  3. Zhu H L. Performance comparison between distributed antenna and microcellular systems. IEEE J Sel Areas Commun, 2011, 29: 1151–1163

    Article  Google Scholar 

  4. Marzetta T L. Noncooperative cellular wireless with unlimited numbers of base station antennas. IEEE Trans Wirel Commun, 2010, 9: 3590–3600

    Article  Google Scholar 

  5. 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

    Article  Google Scholar 

  6. 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

    Article  Google Scholar 

  7. 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

    Google Scholar 

  8. 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

    Article  Google Scholar 

  9. 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

    Article  Google Scholar 

  10. 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

    Article  Google Scholar 

  11. Gao F F, Zhang K Q. Enhanced multi-parameter cognitive architecture for future wireless communications. IEEE Commun Mag, 2015, 53: 86–92

    Article  Google Scholar 

  12. 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

    Article  Google Scholar 

  13. 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

    Article  Google Scholar 

  14. Larsson E G, Edfors O, Tufvesson F, et al. Massive MIMO for next generation wireless systems. IEEE Commun Mag, 2014, 52: 186–195

    Article  Google Scholar 

  15. 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

    Article  Google Scholar 

  16. 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

    Google Scholar 

  17. 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

    Article  Google Scholar 

  18. 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

    Google Scholar 

  19. 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

    Google Scholar 

  20. 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

    Google Scholar 

  21. Ma J J, Li P. Data-aided channel estimation in large antenna system. IEEE Trans Signal Process, 2014, 62: 3111–3124

    Article  MathSciNet  Google Scholar 

  22. 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

    Google Scholar 

  23. 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

    Article  Google Scholar 

  24. 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

    Google Scholar 

  25. 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

    Article  Google Scholar 

  26. 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

    Article  Google Scholar 

  27. 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

    Article  Google Scholar 

  28. 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

    Google Scholar 

  29. 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

    Article  Google Scholar 

  30. Zhu H L, Wang J Z. Chunk-based resource allocation in OFDMA systems—Part I: chunk allocation. IEEE Trans Commun, 2009, 57: 2734–2744

    Article  Google Scholar 

  31. 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

    Article  Google Scholar 

  32. Zhu H L. Radio resource allocation for OFDMA systems in high speed environments. IEEE J Sel Areas Commun, 2012, 30: 748–759

    Article  Google Scholar 

  33. 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

    Article  Google Scholar 

  34. Xie Y Z, Georghiades C N. Two EM-type channel estimation algorithms for OFDM with transmitter diversity. IEEE Trans Commun, 2003, 51: 106–115

    Article  Google Scholar 

  35. Gao J, Liu H P. Low-complexity MAP channel estimation for mobile MIMO-OFDM systems. IEEE Trans Wirel Commun, 2008, 7: 774–780

    Article  Google Scholar 

  36. 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

    Google Scholar 

Download references

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).

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Correspondence to Dongming Wang or Feng Qi.

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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

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