TDD reciprocity calibration for multi-user massive MIMO systems with iterative coordinate descent

多用户大规模MIMO时分双工系统迭代坐标下降互易性校准算法

Abstract

For massive multiple-input multiple-output (MIMO) antenna systems, time division duplexing (TDD) is preferred since the downlink precoding matrix can be obtained through the uplink channel estimation, thanks to the channel reciprocity. However, the mismatches of the transceiver radio frequency (RF) circuits at both sides of the link make the whole communication channel non-symmetric. This paper extends the total least square (TLS) method to the case of self-calibration, where only the antennas of the access points (APs) are involved to exchange the calibration signals with each other and the feedback from the user equipments (UEs) is not required. Then, the proof of the equivalence between the TLS method and the least square (LS) method is presented. Furthermore, to avoid the eigenvalue decomposition required by these two methods to obtain the calibration coefficients, a novel algorithm named as iterative coordinate descent (ICD) method is proposed. Theoretical analysis and simulation results show that the ICD method significantly reduces the complexity and achieves almost the same performance of the LS method.

摘要

创新点

将总体最小二乘算法拓展到自校准的场景下, 并且证明了总体最小二乘算法和最小二乘算法的等价性。进一步地, 提出迭代坐标下降校准算法, 在基本达到最小二乘算法性能的同时, 大大降低了实现的复杂度。

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References

  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

    Ma Z, Zhang Z, Ding Z, et al. Key techniques for 5G wireless communications: network architecture, physical layer, and MAC layer perspectives. Sci China Inf Sci, 2015, 58: 041301(20)

  3. 3

    Wang D M, Wang J Z, You X H, et al. Spectral efficiency of distributed MIMO systems. IEEE J Sel Areas Commun, 2013, 31: 2112–2127

    Article  Google Scholar 

  4. 4

    Wang J Z, Zhu H, Gomes N J. Distributed antenna systems for mobile communications in high speed trains. IEEE J Sel Areas Commun, 2012, 30: 675–683

    Article  Google Scholar 

  5. 5

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

    Article  Google Scholar 

  6. 6

    Yang A, Jing Y D, Xing C W, et al. Performance analysis and location optimization for massive MIMO systems with circularly distributed antennas. arXiv preprint, 2014, arXiv:1408.1468

    Google Scholar 

  7. 7

    Bourdoux A, Come B, Khaled N. Non-reciprocal transceivers in OFDM/SDMA systems: impact and mitigation. In: Proceedings of IEEE Radio and Wireless Conference (RAWCON 03), Boston, 2003. 183–186

    Google Scholar 

  8. 8

    Kaltenberger F, Jiang H, Guillaud M. Relative channel reciprocity calibration in MIMO/TDD systems. In: Proceedings of IEEE Future Network and Mobile Summit, Florence, 2010. 1–10

    Google Scholar 

  9. 9

    Kouassi B, Ghauri I, Deneire L. Reciprocity-based cognitive transmissions using a MU massive MIMO approach. In: Proceedings of IEEE International Conference on Communications (ICC), Budapest, 2013. 2738–2742

    Google Scholar 

  10. 10

    Huang F, Geng J, Wang Y. Performance analysis of antenna calibration in coordinated multi-point transmission system. In: Proceedings of IEEE Vehicular Technology Conference (VTC-Spring), Taipei, 2010. 1–5

    Google Scholar 

  11. 11

    Su L Y, Yang C Y, Wang G, et al. Retrieving channel reciprocity for coordinated multi-point transmission with joint processing. IEEE Trans Commun, 2014, 62: 1541–1553

    Article  Google Scholar 

  12. 12

    Shepard C, Yu H, Anand N. Argos: practical many-antenna base stations. In: Proceedings of the 18th annual International Conference on Mobile Computing and Networking, Istanbul, 2012. 53–64

    Google Scholar 

  13. 13

    Rahul H S, Kumar S, Katabi D. JMB: scaling wireless capacity with user demands. In: Proceedings of the ACM SIGCOMM Conference on Applications, Technologies, Architectures, and Protocols for Computer Communication, Helsinki, 2012. 235–246

    Google Scholar 

  14. 14

    Rogalin R, Bursalioglu O Y, Papadopoulos H C. Hardware-impairment compensation for enabling distributed largescale MIMO. In: Proceedings of IEEE Information Theory and Applications Workshop (ITA), San Diego, 2013. 1–10

    Google Scholar 

  15. 15

    Rogalin R, Bursalioglu O Y, Papadopoulos H, et al. Scalable synchronization and reciprocity calibration for distributed multiuser MIMO. IEEE Trans Wirel Commun, 2014, 13: 1815–1831

    Article  Google Scholar 

  16. 16

    Golub G H, van C F. Matrix Computations. Baltimore: Johns Hopkins University Press, 2012

    Google Scholar 

  17. 17

    Golub G H. Some modified matrix eigenvalue problems. Siam Rev, 1973, 15: 318–334

    MathSciNet  Article  MATH  Google Scholar 

  18. 18

    Bertsekas D P, Tsitsiklis J N. Parallel and Distributed Computation: Numerical Methods. Upper Saddle River: Prentice-Hall, 1989

    Google Scholar 

  19. 19

    Luo Z Q, Tseng P. On the convergence of the coordinate descent method for convex differentiable minimization. J Optimiz Theory Appl, 1992, 72: 7–35

    MathSciNet  Article  MATH  Google Scholar 

  20. 20

    Liu J X, Wang D M. An improved dynamic clustering algorithm for multi-user distributed antenna system. In: Proceedings of IEEE International Conference on Wireless Communications and Signal Processing (WCSP), Nanjing, 2009. 1–5

    Google Scholar 

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Correspondence to Dongming Wang.

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Wei, H., Wang, D., Wang, J. et al. TDD reciprocity calibration for multi-user massive MIMO systems with iterative coordinate descent. Sci. China Inf. Sci. 59, 102306 (2016). https://doi.org/10.1007/s11432-015-5441-4

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Keywords

  • TDD
  • reciprocity calibration
  • total least squares
  • coordinate descent
  • large-scale MIMO

关键词

  • 时分双工
  • 互易性校准
  • 总体最小二乘
  • 坐标下降
  • 大规模MIMO