%A MRA Khandaker %A K-K Wong %X This paper considers simultaneous wireless information apower transfer (SWIPT) in a multiple-input multiple-output (MIMO) wiretapnd power transfer (SWIPT) in a multiple-input multiple-output (MIMO) wiretap channel with energy harvesting receivers. The main objective is to keep the probability of the legitimate user's achievable secrecy rate outage as well as the energy receivers' harvested energy outage as caused by CSI uncertainties below given thresholds. This probabilistic-constrained secrecy rate maximization problem presents a significant analytical and computational challenge since any closed-form for the probabilistic constraints with log-det functions is intractable. In this paper, we address this challenging issue using codeviation inequalitiesnvex restrictions. In particular, we derive decomposition-based large deviation inequalities to transform the probabilistic constraints into second-order cone (SOC) constraints which are easier to handle. Then we show that a robust safe solution can be obtained through solving two convex sub-problems in an alternating fashion. %O This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. %D 2016 %T Robust Secrecy Beamforming for MIMO SWIPT with Probabilistic Constraints %L discovery1549999 %K Erbium, Probabilistic logic, Energy harvesting, Robustness, MIMO, Uncertainty, Receivers %C Washington, DC, USA %E Shuguang Robert Cui %E Stefano Secci %J 2016 IEEE GLOBECOM WORKSHOPS (GC WKSHPS) %I IEEE %S IEEE Globecom Workshops %B Proceedings of 2016 IEEE Globecom Workshops (GC Wkshps)