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Robust Downlink Beamforming for Multiuser SWIPT Systems with Imperfect CSI

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Abstract

A multiuser multiple-input-single-output simultaneous wireless information and power transfer downlink system with imperfect channel is considered. This paper maximizes the worst-case harvested energy of all users and maintains the signal-to-interference and noise ratio requirement. The unknown channel estimate error is assumed within a certain range. Under the assumption, beamforming vector optimization is formulated as a semi-definite programming problem transformed by S-Procedure method. Using semidefinite relaxation technique, an optimal beamforming vector is obtained for the multi-antenna transmitter. The robustness and effectiveness of our proposed algorithm are provided by the simulation results compared with the non-robust design.

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References

  1. Varshney, L. (2008). Transporting information and energy simultaneously. In Proceedings of the IEEE international symposium on information theory (pp. 1612–1616).

  2. Grover, P., & Sahai, A. (2010). Shannon meets Tesla: wireless information and power transfer. In Proceedings of the IEEE international symposium on information theory (pp. 2363–2367).

  3. Huang, K., & Larsson, E. (2013). Simultaneous information and power transfer for broadband wireless systems. IEEE Transactions on Signal Processing, 61(23), 5972–5986.

    Article  MathSciNet  Google Scholar 

  4. Xu, J., Liu, L., Zhang, R. (2014). Multiuser MISO beamforming for simultaneous wireless information and power transfer. IEEE Transactions on Signal Processing, 62(18), 4798–4810.

    Article  MathSciNet  Google Scholar 

  5. Zhou, X. (2015). Training-based SWIPT: optimal power splitting at the receiver. IEEE Transactions on Vehicular Technology, 64(9), 4377–4382.

    Article  Google Scholar 

  6. Boshkovska, E., Ng, D., Zlatanov, N., Schober, R. (2015). Practical non-linear energy harvesting model and resource allocation for SWIPT systems. IEEE Transactions on Communications, 19(12), 2082–2085.

    Google Scholar 

  7. Joshi, S., Wijewardhana, U., Codreanu, M., Latvaaho, M. (2015). Maximization of worst-case weighted sum-rate for MISO Downlink systems with imperfect channel knowledge. IEEE Communications Letters, 63(10), 3671–3685.

    Article  Google Scholar 

  8. Aziz, A., Zeng, M., Zhou, J., Georghiades, C., Cui, S. (2012). Robust beamforming with channel uncertainty for two-way relay networks. In Proceedings of the IEEE international conference on communications. ICC (pp. 3632–3636).

  9. Zou, J., Luo, H., Tao, M., Wang, R. (2012). Joint source and relay optimization for non-regenerative MIMO two-way relay systems with imperfect CSI. IEEE Transactions on Wireless Communications, 11(9), 3305–3315.

    Article  Google Scholar 

  10. Muhammad, R., & Wong, K. Max-min energy based robust secure beamforming for SWIPT. In Proceedings of the IEEE international symposium on information theory (pp. 166– 171).

  11. Chen, Y., Wen, Z., Wang, S., Sun, J., Li, M. (2015). Joint relay beamforming and source receiving in MIMO two-way AF relay network with energy harvesting. In Proceedings of the IEEE international vehicular technology conference (pp. 1–5).

  12. Boyd, S., & Vandenberghe, L. (2004). Convex optimization. Cambridge: Cambridge University Press.

    Book  MATH  Google Scholar 

  13. Luo, Z.-Q., Sturm, J. F., Zhang, S. (2004). Multivariate nonnegative quadratic mappings. SIAM Journal on Optimization, 14(4), 1140–1162.

    Article  MathSciNet  MATH  Google Scholar 

  14. Boshkovska, E., & Morsi, R. (2016). Power allocation and scheduling for SWIPT systems with non-linear energy harvesting model. In IEEE international conference on communications wireless communications (pp. 1938–1883).

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Acknowledgements

The work presented in this paper was supported by the National Great Science Specific Project (Grants No. 2014ZX03002002-004), National Natural Science Foundation of China (Grants No. NSFC-61471067).

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Authors and Affiliations

  1. School of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Zhigang Wen, Shan Li, Xiaoqing Liu, Zhimei Guo & Zhimin Xie

  2. Department of Electrical and Computer Engineering, University of Michigan-Dearborn, Dearborn, MI, 48128, USA

    Weidong Xiang

Authors
  1. Zhigang Wen
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  2. Shan Li
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  3. Xiaoqing Liu
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  4. Zhimei Guo
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  5. Zhimin Xie
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  6. Weidong Xiang
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Correspondence to Xiaoqing Liu.

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Wen, Z., Li, S., Liu, X. et al. Robust Downlink Beamforming for Multiuser SWIPT Systems with Imperfect CSI. J Sign Process Syst 90, 849–855 (2018). https://doi.org/10.1007/s11265-018-1331-5

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  • DOI: https://doi.org/10.1007/s11265-018-1331-5

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