DOI QR코드

DOI QR Code

Sum rate and Energy Efficiency of Massive MIMO Downlink with Channel Aging in Time Varying Ricean Fading Channel

  • Yang, Lihua (Jiangsu Key Laboratory of Wireless Communication, Nanjing University of Posts and Telecommunications) ;
  • Yang, Longxiang (Jiangsu Key Laboratory of Wireless Communication, Nanjing University of Posts and Telecommunications) ;
  • Zhu, Hongbo (Jiangsu Key Laboratory of Wireless Communication, Nanjing University of Posts and Telecommunications) ;
  • Liang, Yan (Jiangsu Key Laboratory of Wireless Communication, Nanjing University of Posts and Telecommunications)
  • Received : 2017.08.07
  • Accepted : 2017.10.12
  • Published : 2018.03.31

Abstract

Achievable sum rate and energy efficiency (EE) are investigated for the massive multiple-input multiple-output (Massive MIMO) downlink with channel aging in the time varying Ricean fading channel. Specifically, the expression of the achievable sum rate of the system for the maximum ratio transmission (MRT) precoder with aged channel state information (CSI) in the time varying Ricean fading channel is first presented. Based on the expression, the effect of both channel aging and the Ricean factor on the power scaling law are studied. It is found that the transmit power of base station (BS) is scaled down by $1/{\sqrt{M}}$(where M is the number of the BS antennas) when the Ricean factor K is equal to zero (i.e., time varying Rayleigh fading channel), indicating that aged CSI does not affect the power scaling law. However, the transmit power of the BS is scaled down by 1/M for the time varying Ricean fading channel (where $K{\neq}0$) indicating that the Ricean factor affects the power scaling law and sum rate, and channel aging only leads to a reduction of the sum rate. Second, the EE of the system is analyzed based on the general power consumption model. Both the theoretical analysis and the simulations show that the channel aging could degrade the sum rate and the EE of the system, and it does not affect the power scaling law.

Keywords

References

  1. F. Boccardi, R. W. Heath Jr., A. Lozano, T. L. Marzetta, and P. Popovski,"Five disruptive technology directions for 5G," IEEE Commun. Mag., vol. 52, no. 2, pp. 74-80, Feb. 2014. https://doi.org/10.1109/MCOM.2014.6736746
  2. E. G. Larsson, F. Tufvesson, O. Edfors, and T. L. Marzetta, "Massive MIMO for next generation wireless systems," IEEE Commun. Mag., vol. 52, no. 2, pp. 186-195, Feb. 2014. https://doi.org/10.1109/MCOM.2014.6736761
  3. Daniel C. Araujo, Taras Maksymyuk, Andre L.F. de Almeida, "Massive MIMO: Survey and Future Research Topics," IET Communications, Vol.10, No.15, pp.1938-1936, Oct 2016. https://doi.org/10.1049/iet-com.2015.1091
  4. D. Wu, L. Zhou, Y. Cai, "Social-aware rate based content sharing mode selection for D2D content sharing scenarios," to appear in IEEE Transactions on Multimedia, 2017.
  5. L. Zhou, "Mobile Device-to-Device Video Distribution: Theory and Application," ACM Transactions on Multimedia Computing, Communications and Applications, vol. 12, no.3, pp. 1253-1271, June 2016.
  6. J. Jose, A. Ashikhmin, T. L. Marzetta, and S. Vishwanath, "Pilot contamination and precoding in multi-cell TDD systems," IEEE Trans. Wireless Commun., vol. 10, no. 8, pp. 2640-2651, Aug. 2011. https://doi.org/10.1109/TWC.2011.060711.101155
  7. N. Krishnan, R. D. Yates, and N. B. Mandayam, "Uplink linear receivers for multi-cell multiuser MIMO with pilot contamination: Large system analysis," IEEE Trans. Wireless Commun., vol. 13, no. 8, pp. 4360-4373, Aug. 2014. https://doi.org/10.1109/TWC.2014.2320914
  8. Q. Zhang, S. Jin, K.-K.Wong, H. Zhu, and M. Matthaiou, "Power scaling of uplink massive MIMO systems with arbitrary-rank channel means," IEEE J. Sel. Topics Signal Process., vol. 8, no. 5, pp. 966-981, Oct. 2014. https://doi.org/10.1109/JSTSP.2014.2324534
  9. C. Kong, C. Zhong, M. Matthaiou, and Z. Zhang, "Performance of downlink massive MIMO in Ricean fading channels with ZF precoder," in Proc. of IEEE Int. Conf. Commun. (ICC), pp. 1776-1782, June 2015.
  10. C.-K. Wen, S. Jin, K.-K. Wong, J.-C. Chen, and P. Ting, "Channel estimation for massive MIMO using Gaussian-mixture Bayesian learning," IEEE Trans. Wireless Commun., vol. 14, no. 3, pp. 1356-1368, Mar. 2015. https://doi.org/10.1109/TWC.2014.2365813
  11. A. Pitarokoilis, S. K. Mohammed, and E. G. Larsson, "Uplink performance of time-reversal MRC in massive MIMO systems subject to phase noise," IEEE Trans. Wireless Commun., vol. 14, no. 2, pp. 711-723, Feb. 2015. https://doi.org/10.1109/TWC.2014.2359018
  12. K. T. Truong and R. W. Heath Jr., "Effects of channel aging in massive MIMO systems," J. Commun. Netw., vol. 16, no. 4, pp. 338-351, Aug. 2013.
  13. A. K. Papazafeiropoulos and T. Ratnarajah, "Linear precoding for downlink massive MIMO with delayed CSIT and channel prediction," in Proc. of IEEE Wireless Commun. Netw. Conf. (WCNC), pp. 809-914, Apr. 2014.
  14. A. K. Papazafeiropoulos and T. Ratnarajah, "Uplink performance of massive MIMO subject to delayed CSIT and anticipated channel prediction," in Proc. of IEEE Int. Conf. Acoust. Speech Signal Process. (ICASSP), pp. 3162-3165, May 2014.
  15. Chuili Kong, Caijun Zhong, "Sum rate and power scaling of Massive MIMO systems with channel aging," IEEE transactions on communications, vol.63, no.12, pp. 4879-4893, Dec. 2015. https://doi.org/10.1109/TCOMM.2015.2493998
  16. H. Q. Ngo, E. G. Larsson, and T. L. Marzetta, "Energy and spectral efficiency of very large multiuser MIMO systems," IEEE Trans. Commun., vol. 61, no. 4, pp. 1436-1449, Apr. 2013. https://doi.org/10.1109/TCOMM.2013.020413.110848
  17. E. Bjornson, L. Sanguinetti, and M. Debbah, "Optimal design of energy efficient multi-user MIMO systems: Is massive MIMO the answer," IEEE Transactions on Wireless Communications, vol. 14, no. 6, pp. 3059-3075, February 2015. https://doi.org/10.1109/TWC.2015.2400437
  18. Chuili Kong, Caijun Zhong, Michail Matthaiou, and Zhaoyang Zhang, "Performance of Downlink Massive MIMO in Ricean Fading Channels with ZF Precoder," IEEE ICC 2015, 1776-1782, 2015.
  19. Qianxian Bao, Hairong Wang, Yuanyuan Chen, "Downlink sum rate and energy efficiency of Massive MIMO systems with channel aging," in Proc. of 2016 8th International Conference on Wireless Communications & Signal Processing (WCSP), pp. 1-5, Nov. 2016.
  20. 3GPP, "3rd Generation Partnership Project, "Technical Specification Group Services and System Aspects, Service aspects; Services and service capabilities (Release 6)," TS 22.105 V6.2.0, June 2003.
  21. L. Gui, B. Liu, H.C. Wu, Y. Li, W.F. Ma, "Helicopter-Based Digital Electronic News Gathering (H-DENG) System: Case Study and System Solution," IEEE Transactions on Broadcasting, vol. 57, no. 1, pp.121-128, Mar. 2011. https://doi.org/10.1109/TBC.2010.2097000
  22. E. Bjornson, L. Sanguinetti, "Designing multiuser MIMO for energy efficient: when is massive MIMO the answer," IEEE Wireless Communications and networking conf. (WCNC), pp. 242-247, Apr. 2014.