Sectorization based pilot reuse for improving net spectral efficiency in the multicell massive MIMO system



A sectorization method using the uniform circular array (UCA) is proposed to improve the net spectral efficiency (SE) of the multicell massive MIMO system, which is an important index for evaluating the performance of a communication system. We derive the ergodic achievable uplink net SE per cell of a general sectorized system and obtain its deterministic approximation based on the large random matrix theory. Different weight matrices are considered for the sectorized system and the one with the best performance is utilized for further analysis. The consistency of the deterministic approximation with the result of Monte-Carlo simulation is proved at the same time. At last, numerical results indicate that the net SE per cell can be greatly improved compared to the conventional multicell massive MIMO system, which validates the effectiveness of the sectorization method. Moreover, comparisons with other pilot reuse methods are also made in this paper.



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  1. 1

    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

    Article  Google Scholar 

  2. 2

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

    Article  Google Scholar 

  3. 3

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

    Article  Google Scholar 

  4. 4

    Marzetta T L. Massive MIMO: an introduction. Bell Labs Tech J, 2015, 20: 11–22

    Article  Google Scholar 

  5. 5

    You L, Gao X Q, Xia X G, et al. Pilot reuse for massive MIMO transmission over spatially correlated rayleigh fading channels. IEEE Trans Wirel Commun, 2015, 14: 3352–3366

    Article  Google Scholar 

  6. 6

    He Q, Xiao L M, Zhong X F, et al. Increasing the sum-throughput of cells with a sectorization method for massive MIMO. IEEE Commun Lett, 2014, 18: 1827–1830

    Article  Google Scholar 

  7. 7

    Li J H, He Q, Xiao L M, et al. Uplink Sum-throughput evaluation of sectorized multi-cell massive MIMO system. In: Proceedings of IEEE International Conference on Communication Workshop (ICCW), London, 2015. 1143–1148

    Google Scholar 

  8. 8

    Hoydis J, Ten Brink S, 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 

  9. 9

    Nam J, Adhikary A, Ahn J Y, et al. Joint spatial division and multiplexing: opportunistic beamforming, user grouping and simplified downlink scheduling. IEEE J Sel Topics Signal Process, 2014, 8: 876–890

    Article  Google Scholar 

  10. 10

    Yin H F, 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 

  11. 11

    Alrabadi O N, Tsakalaki E, Huang H, et al. Beamforming via large and dense antenna arrays above a clutter. IEEE J Sel Areas Commun, 2013, 31: 314–325

    Article  Google Scholar 

  12. 12

    Hassibi B, Hochwald B M. How much training is needed in multiple-antenna wireless links? IEEE Trans Inf Theory, 2003, 49: 951–963

  13. 13

    Wagner S, Couillet R, Debbah M, et al. Large system analysis of linear precoding in correlated MISO broadcast channels under limited feedback. IEEE Trans Inf Theory, 2012, 58: 4509–4537

    MathSciNet  Article  Google Scholar 

  14. 14

    Xu Y, Yue G, Prasad N, et al. User grouping and scheduling for large scale MIMO systems with two-stage precoding. In: Proceedings of the IEEE International Conference on Communication (ICC), Sydney, 2014. 5197–5202

    Google Scholar 

  15. A1

    Silverstein J W, Bai Z D. On the empirical distribution of eigenvalues of a class of large dimensional random matrices. J Multivariate Anal, 1995, 54: 175–192

    MathSciNet  Article  MATH  Google Scholar 

  16. A2

    Couillet R, Debbah M. Random Matrix Methods for Wireless Communications. Cambridge: Cambridge University Press, 2011. 48–49, 352–353

    MathSciNet  Google Scholar 

  17. A3

    Bai Z, Silverstein J W. Spectral Analysis of Large Dimensional Random Matrices. New York: Springer, 2010. 530

    Google Scholar 

  18. A4

    Hoydis J. Random matrix methods for advanced communication systems. Dissertation for Ph.D. degree. France: Supélec, 2012. 18

    Google Scholar 

  19. B1

    van der Vaart A W. Asymptotic Statistics (Cambridge Series in Statistical and Probabilistic Mathematics). Cambridge: Cambridge University Press, 2000. 7–8

    Google Scholar 

  20. B2

    Billingsley P. Probability and Measure. Hoboken: John Wiley & Sons. 1995. 209–210

    Google Scholar 

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Correspondence to Shidong Zhou.

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Li, J., Xiao, L., Xu, X. et al. Sectorization based pilot reuse for improving net spectral efficiency in the multicell massive MIMO system. Sci. China Inf. Sci. 59, 1–15 (2016).

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  • massive MIMO
  • multicell
  • net SE
  • pilot reuse
  • sectorization
  • UCA


  • 022307


  • 大规模MIMO
  • 多小区
  • 净频谱效率
  • 导频重用
  • 扇区化
  • 均匀圆形阵列