Abstract
For simultaneous wireless information and power transfer in the multi-input single-output broadcast channel, we propose a probabilistic robust beamforming scheme which minimizes the outage probability of the information receiver subject to the probabilistic energy harvesting constraint where the channel uncertainties are modeled as Gaussian random variables. Expressing the optimization problem by Marcum’s Q-functions, we obtain the optimal closed-form beamforming solution. Simulation results show that the proposed scheme outperforms the worst-case robust beamforming scheme.
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Acknowledgments
This work was supported in part by the National Natural Science Foundation of China under Grants 61472458, 61202498, and 61173148, and in part by the Fundamental Research Funds for the Central Universities under Grants 15lgzd10 and 15lgpy15.
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Li, Q., Zhang, Q. & Qin, J. Optimal Probabilistic Robust Beamforming for MISO SWIPT Systems with Gaussian Channel Uncertainties. Wireless Pers Commun 82, 2407–2415 (2015). https://doi.org/10.1007/s11277-015-2355-9
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DOI: https://doi.org/10.1007/s11277-015-2355-9