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Robust Transceiver Designs in Multiuser MISO Broadcasting with Simultaneous Wireless Information and Power Transmission

  • Zhu, Zhengyu (School of Information Engineering, Zhengzhou University, School of Electrical Engineering, Korea University) ;
  • Wang, Zhongyong (School of Information Engineering, Zhengzhou University) ;
  • Lee, Kyoung-Jae (Dept. of Electronics and Control Engineering, Hanbat National University) ;
  • Chu, Zheng (School of Electrical and Electronic Engineering, Newcastle University) ;
  • Lee, Inkyu (School of Electrical Engineering, Korea University)
  • Received : 2014.12.19
  • Accepted : 2015.08.21
  • Published : 2016.04.30

Abstract

In this paper, we address a new robust optimization problem in a multiuser multiple-input single-output broadcasting system with simultaneous wireless information and power transmission, where a multi-antenna base station (BS) sends energy and information simultaneously to multiple users equipped with a single antenna. Assuming that perfect channel-state information (CSI) for all channels is not available at the BS, the uncertainty of the CSI is modeled by an Euclidean ball-shaped uncertainty set. To optimally design transmit beamforming weights and receive power splitting, an average total transmit power minimization problem is investigated subject to the individual harvested power constraint and the received signal-to-interference-plus-noise ratio constraint at each user. Due to the channel uncertainty, the original problem becomes a homogeneous quadratically constrained quadratic problem, which is NP-hard. The original design problem is reformulated to a relaxed semidefinite program, and then two different approaches based on convex programming are proposed, which can be solved efficiently by the interior point algorithm. Numerical results are provided to validate the robustness of the proposed algorithms.

Keywords

Acknowledgement

Supported by : National Nature Science Foundation of China

References

  1. S. R. Lee, S. H. Park, S. H.Moon, and I. Lee, "New beamforming schemes with optimum receive combining for multiuser MIMO systems," in Proc. IEEE ICC, Beijing, China, May 2008, pp. 4118-4122.
  2. H. Sung, S. R. Lee, and I. Lee, "Generalized channel inversion methods for multiuser MIMO systems," IEEE Trans. Commun., vol. 57, no. 11, pp. 3489-3499, Nov. 2009. https://doi.org/10.1109/TCOMM.2009.11.070404
  3. W. Lee, H. Park, H. Kong, J. S. Kwak, and I. Lee, "A new beamforming design for multicast systems," IEEE Trans. Veh. Technol., vol. 62, no. 8, pp. 4093-4097, Oct. 2013. https://doi.org/10.1109/TVT.2012.2236583
  4. S. R. Lee, J. S. Kim, S. H. Moon, H. B. Kong, and I. Lee, "Zero-forcing beamforming in multiuser MISO downlink dystems under per-antenna power constraint and equal-rate metric," IEEE Trans. Wireless Commun., vol. 12, no. 1, pp. 228-236, Jan. 2013. https://doi.org/10.1109/TWC.2012.120312.120332
  5. S. R. Lee, H. B. Kong, H. Park, and I. Lee, "Beamforming designs based on an asymptotic approach in MISO interference channels," IEEE Trans. Wireless Commun., vol. 12, no. 12, pp. 6430-6438, Dec. 2013. https://doi.org/10.1109/TW.2013.103013.130698
  6. L. R. Varshney, "Transporting information and energy simultaneously," in Proc. IEEE ISIT, Toronto, Canada, July 2008, pp. 1612-1616.
  7. P. Grover and A. Sahai, "Shannon meets Tesla: wireless information and power transfer," in Proc. IEEE ISIT, Austin, USA, June 2010, pp. 2363-2367.
  8. R. Zhang and C. Ho, "MIMO broadcasting for simultaneous wireless information and power transfer," IEEE Trans. Wireless Commun., vol. 12, no. 5, pp. 1989-2001, May 2013. https://doi.org/10.1109/TWC.2013.031813.120224
  9. L. Liu, R. Zhang, and K. C. Chua, "Wireless information and power transfer: a dynamic power splitting approach," IEEE Trans. Commun., vol. 61, no. 9, pp. 3990-4001, Sept. 2013. https://doi.org/10.1109/TCOMM.2013.071813.130105
  10. Q. Shi, L. Liu, W. Xu, and R. Zhang, "Joint transmit beamforming and receive power splitting for MISO SWIPT systems," IEEE Trans. Wireless Commun., vol. 13, no. 6, pp. 3269-3280, June 2014. https://doi.org/10.1109/TWC.2014.041714.131688
  11. H. T. Kim, S. H. Lim, I. Lee, S. Kim, and S. Y. Chung, "Code design for MIMO downlink with imperfect CSIT," IEEE Trans. Commun., vol. 58, no. 1, pp. 89-94, Jan. 2010. https://doi.org/10.1109/TCOMM.2010.01.080306
  12. Z. Zhu, K. J. Lee, Z. Wang, and I. Lee. "Robust beamforming and power splitting design in distributed antenna system with SWIPT under bounded channel uncertainty," in Proc. IEEE VTC, Glasgow, Scotland, May 2015.
  13. J. Rubio and A. Pascual-Iserte, "Energy-aware broadcast multiuser-MIMO precoder design with imperfect channel and battery knowledge," IEEE Trans. Wireless Commun., vol. 13, no. 6, pp. 3137-3152, June 2014. https://doi.org/10.1109/TWC.2014.042414.130931
  14. R. Feng, Q. Li, Q. Zhang, and J. Qin, "Robust secure transmission in MISO simultaneous wireless information and power transfer system," IEEE Trans. Veh. Technol., accepted for publication 2014.
  15. D. W. K. Ng, E. S. Lo, and R. Schober, "Robust beamforming for secure communication in systems with wireless information and power transfer," IEEE Trans. Wireless Commun., vol. 13, no. 8, pp. 4599-4615, Aug. 2014. https://doi.org/10.1109/TWC.2014.2314654
  16. D. Li, C. Shen, and Z. Qiu, "Sum rate maximization and energy harvesting for two-way af relay systems with imperfect CSI," in Proc. IEEE ICASSP, Vancouver, Canada, May 2013, pp. 4958-4962.
  17. S. Mohammadkhani, S. M. Razavizadeh, and I. Lee, "Robust filter and forward relay beamforming with spherical channel state information uncertainties," in Proc. IEEE ICC, Sydney, Australia, June 2014, pp. 5023-5028.
  18. M. Khandaker and K. Wong, "SWIPT in MISO multicasting systems," IEEE Wireless Commun. Lett., vol. 3, no. 3, pp. 277-280, June 2014. https://doi.org/10.1109/WCL.2014.030514.140057
  19. R. Hunger and M. Joham, "A complete description of the QoS feasibility region in the vector broadcast channel," IEEE Trans. Signal Process., vol. 58, no. 7, pp. 3870-3878, July 2010. https://doi.org/10.1109/TSP.2010.2046895
  20. S. Boyd and L. Vandenberghe, Convex optimization. Cambridge U.K.: Cambridge Univ. Press, 2004.
  21. Z. Q. Luo, W. K. Ma, A. M. C. So, Y. Ye, and S. Zhang, "Semidefinite relaxation of quadratic optimization problems: From its practical deployments and scope of applicability to key theoretical results," IEEE Signal Process. Mag., vol. 27, no. 3, pp. 20-34, May 2010.
  22. M. Grant and S. Boyd. (2012, Sept.). CVX: matlab software for disciplined convex programming, version 2.0 beta, [Online]. Available: http://cvxr.com/cvx.
  23. Z. Q. Luo and S. Zhang, "A semidefinite relaxation scheme formultivariate quartic polynomial optimization with quadratic constraints," in Proc. Conf. Math. Oper. Res., pp. 13-15, Jan. 2009.
  24. M. Bengtsson and B. Ottersten, "Optimum and suboptimum transmit beamforming," in Handbook of Antennas in Wireless Communications, L. C. Godara, Ed., CRC Press, Aug. 2001.
  25. A. Hjrungnes and D. Gesbert, "Complex-valued matrix differentiation: techniques and key results," IEEE Trans. Signal Process., vol. 55, no. 6, pp. 2740-2746, June 2007. https://doi.org/10.1109/TSP.2007.893762
  26. I. Polik and T. Terlaky, "Interior point methods for nonlinear optimization," in Nonlinear Optimization, 1st ed., Eds. Springer, 2010.