Table of Contents Author Guidelines Submit a Manuscript
International Journal of Antennas and Propagation
Volume 2015, Article ID 840142, 11 pages
http://dx.doi.org/10.1155/2015/840142
Research Article

Outage-Constrained Beamforming for Two-Tier Massive MIMO Downlink with Pilot Reuse

1The State Key Laboratory of Advanced Optical Communication Systems and Networks, Peking University, Beijing 100871, China
2Department of Electrical and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong

Received 20 August 2014; Revised 14 February 2015; Accepted 22 February 2015

Academic Editor: Ahmed T. Mobashsher

Copyright © 2015 Guozhen Xu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. E. Bjornson, E. A. Jorswieck, M. Debbah, and B. Ottersten, “Multiobjective signal processing optimization: the way to balance conflicting metrics in 5G systems,” IEEE Signal Processing Magazine, vol. 31, no. 6, pp. 14–23, 2014. View at Publisher · View at Google Scholar
  2. E. G. Larsson, O. Edfors, F. Tufvesson, and T. L. Marzetta, “Massive MIMO for next generation wireless systems,” IEEE Communications Magazine, vol. 52, no. 2, pp. 186–195, 2014. View at Publisher · View at Google Scholar · View at Scopus
  3. A. Ghosh, N. Mangalvedhe, R. Ratasuk et al., “Heterogeneous cellular networks: from theory to practice,” IEEE Communications Magazine, vol. 50, no. 6, pp. 54–64, 2012. View at Publisher · View at Google Scholar · View at Scopus
  4. J. Hoydis, K. Hosseini, S. T. Brink, and M. Debbah, “Making smart use of excess antennas: massive MIMO, small cells, and TDD,” Bell Labs Technical Journal, vol. 18, no. 2, pp. 5–21, 2013. View at Publisher · View at Google Scholar · View at Scopus
  5. J. Jose, A. Ashikhmin, T. L. Marzetta, and S. Vishwanath, “Pilot contamination problem in multi-cell TDD systems,” in Proceedings of the IEEE International Symposium on Information Theory (ISIT '09), pp. 2184–2188, Seoul, Republic of Korea, July 2009. View at Publisher · View at Google Scholar · View at Scopus
  6. F. Fernandes, A. Ashikhmin, and T. L. Marzetta, “Inter-cell interference in noncooperative TDD large scale antenna systems,” IEEE Journal on Selected Areas in Communications, vol. 31, no. 2, pp. 192–201, 2013. View at Publisher · View at Google Scholar · View at Scopus
  7. S. Jin, X. Wang, Z. Li, and K.-K. Wong, “Zero-forcing beamforming in massive MIMO systems with time-shifted pilots,” in Proceedings of the IEEE International Conference on Communications (ICC '14), pp. 4801–4806, Sydney, Australia, June 2014. View at Publisher · View at Google Scholar
  8. S. Jin, X. Wang, Z. Li, k.-k. Wong, Y. Huang, and X. Tang, “On massive MIMO zero-forcing transceiver using time-shifted pilots,” IEEE Transactions on Vehicular Technology, 2015. View at Publisher · View at Google Scholar
  9. E. Bjornson, E. G. Larsson, and M. Debbah, “Massive MIMO for maximal spectral efficiency: how many users and pilots should be allocated?” http://arxiv.org/abs/1412.7102.
  10. M. Li, S. Jin, and X. Gao, “Spatial orthogonality-based pilot reuse for multi-cell massive MIMO transmission,” in Proceedings of the International Conference on Wireless Communications and Signal Processing (WCSP '13), pp. 1–6, October 2013. View at Publisher · View at Google Scholar · View at Scopus
  11. M. Mazrouei-Sebdani and W. A. Krzymień, “Massive MIMO with clustered pilot contamination precoding,” in Proceedings of the 47th Asilomar Conference on Signals, Systems and Computers, pp. 1218–1222, November 2013. View at Publisher · View at Google Scholar · View at Scopus
  12. Y. Li, G. Xiqi, X. Xiang-Gen, M. Ni, and P. Yan, “Massive MIMO transmission with pilot reuse in single cell,” in Proceedings of the IEEE International Conference on Communications (ICC '14), pp. 4783–4788, Sydney, Australia, June 2014. View at Publisher · View at Google Scholar
  13. V. Chandrasekhar, M. Kountouris, and J. G. Andrews, “Coverage in tiered cellular networks with spatial diversity,” in Proceedings of the IEEE Global Telecommunications Conference (GLOBECOM '09), pp. 1–6, Honolulu, Hawaii, USA, December 2009. View at Publisher · View at Google Scholar · View at Scopus
  14. Q. Li and W.-K. Ma, “Optimal and robust transmit designs for MISO channel secrecy by semidefinite programming,” IEEE Transactions on Signal Processing, vol. 59, no. 8, pp. 3799–3812, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  15. H. Jing and A. L. Swindlehurst, “Robust secure transmission in MISO channels based on worst-case optimization,” IEEE Transactions on Signal Processing, vol. 60, no. 4, pp. 1696–1707, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. K.-Y. Wang, T.-H. Chang, W.-K. Ma, A. M.-C. So, and C.-Y. Chi, “Probabilistic SINR constrained robust transmit beamforming: a bernstein-type inequality based conservative approach,” in Proceedings of the 36th IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '11), pp. 3080–3083, Prague, Czech Republic, May 2011. View at Publisher · View at Google Scholar · View at Scopus
  17. S. Ma and D. Sun, “Chance constrained robust beamforming in cognitive radio networks,” IEEE Communications Letters, vol. 17, no. 1, pp. 67–70, 2013. View at Publisher · View at Google Scholar · View at Scopus
  18. L. Vandenberghe and S. Boyd, “Semidefinite programming,” SIAM Review, vol. 38, no. 1, pp. 49–95, 1996. View at Publisher · View at Google Scholar · View at MathSciNet
  19. Y. Wei, K. Taesoo, and S. Changyong, “Multicell coordination via joint scheduling, beamforming and power spectrum adaptation,” in Proceedings of the IEEE Conference on Computer Communications (INFOCOM '11), pp. 2570–2578, Shanghai, China, 2011.
  20. D. W. K. Ng, E. S. Lo, and R. Schober, “Energy-efficient resource allocation in OFDMA systems with large numbers of base station antennas,” IEEE Transactions on Wireless Communications, vol. 11, no. 9, pp. 3292–3304, 2012. View at Publisher · View at Google Scholar · View at Scopus
  21. T. L. Marzetta, “How much training is required for multiuser MIMO?” in Proceedings of the 40th Asilomar Conference on Signals, Systems, and Computers (ACSSC '06), pp. 359–363, Pacific Grove, Calif, USA, November 2006. View at Publisher · View at Google Scholar · View at Scopus
  22. K. Guo, Y. Guo, G. Fodor, and G. Ascheid, “Uplink power control with MMSE receiver in multi-cell MU-massive-MIMO systems,” in Proceedings of the IEEE International Conference on Communications (ICC '14), pp. 5184–5190, Sydney, Australia, June 2014. View at Publisher · View at Google Scholar
  23. Q. N. Hien, M. Matthaiou, and E. G. Larsson, “Massive MIMO with optimal power and training duration allocation,” IEEE Wireless Communications Letters, vol. 3, no. 6, pp. 605–608, 2014. View at Google Scholar
  24. A. Ashikhmin and T. Marzetta, “Pilot contamination precoding in multi-cell large scale antenna systems,” in Proceedings of the IEEE International Symposium on Information Theory (ISIT '12), pp. 1137–1141, IEEE, Cambridge, Mass, USA, July 2012. View at Publisher · View at Google Scholar · View at Scopus
  25. S. Boyd and L. Vandenberghe, Convex Optimization, Cambridge University Press, New York, NY, USA, 2004.
  26. J. F. Sturm, “Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones,” Optimization Methods and Software, vol. 11, no. 1, pp. 625–653, 1999. View at Publisher · View at Google Scholar · View at Scopus
  27. C. Wang and R. D. Murch, “Adaptive downlink multi-user MIMO wireless systems for correlated channels with imperfect CSI,” IEEE Transactions on Wireless Communications, vol. 5, no. 9, pp. 2435–2446, 2006. View at Publisher · View at Google Scholar · View at Scopus
  28. Y. Xinping and E. K. S. Au, “User scheduling for heterogeneous multiuser MIMO systems: a subspace viewpoint,” IEEE Transactions on Vehicular Technology, vol. 60, no. 8, pp. 4004–4013, 2011. View at Google Scholar
  29. Q. Sun, Y. Xue, Y. Zhang, S. Jin, X. Li, and X. Gao, “User assignment for MU-MIMO downlink system based on Munkres algorithm,” in Proceedings of the International Conference on Wireless Communications and Signal Processing (WCSP '13), pp. 1–6, October 2013. View at Publisher · View at Google Scholar · View at Scopus
  30. C. Shanzhi and Z. Jian, “The requirements, challenges, and technologies for 5G of terrestrial mobile telecommunication,” IEEE Communications Magazine, vol. 52, no. 5, pp. 36–43, 2014. View at Publisher · View at Google Scholar · View at Scopus
  31. G. Auer, V. Giannini, C. Desset et al., “How much energy is needed to run a wireless network?” IEEE Wireless Communications, vol. 18, no. 5, pp. 40–49, 2011. View at Publisher · View at Google Scholar · View at Scopus
  32. R. Muharar, R. Zakhour, and J. Evans, “Base station cooperation with limited feedback: a large system analysis,” in Proceedings of the IEEE International Symposium on Information Theory (ISIT '12), pp. 1152–1156, Cambridge, Mass, USA, July 2012. View at Publisher · View at Google Scholar · View at Scopus
  33. L. C. Godara, Handbook of Antennas in Wireless Communications, CRC Press, 2001.
  34. T. Y. Al-Naffouri and B. Hassibi, “On the distribution of indefinite quadratic forms in gaussian random variables,” in Proceedings of the IEEE International Symposium on Information Theory (ISIT '09), pp. 1744–1748, Seoul, Republic of Korea, July 2009. View at Publisher · View at Google Scholar