Robust beamforming design for multiple-input–single-output secrecy multicasting systems with simultaneous wireless information and power transmission

• Published in: IET communications Vol. 10; no. 15; pp. 1979 - 1985
• Main Authors: Zhu, Zhengyu, Chu, Zheng, Wang, Zhongyong, Cui, Jianhua
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 13.10.2016
• Subjects: array signal processing; Beamforming; Bernstein‐type inequalities; Channels; concave programming; constrained concave convex procedure method; convex programming; convex programming problems; Design engineering; Energy harvesting; energy harvesting receivers; harvested energy outage probability constraint; imperfect channel state information; local optimal rank‐one solution; Mathematical programming; multicast communication; Multicasting; multiple‐input‐single‐output secrecy multicasting systems; multiuser channels; multiuser multiple‐input‐single‐output secure multicasting channels; nonconvex problem; Outages; probability; Regular Papers; robust secure beamforming design; secrecy rate outage probability constraint; Sequences; simultaneous wireless information‐and‐power transmission; telecommunication security; wireless channels; telecommunication security; harvested energy outage probability constraint; probability; simultaneous wireless information-and-power transmission; energy harvesting; convex programming; multiple-input-single-output secrecy multicasting systems; nonconvex problem; constrained concave convex procedure method; secrecy rate outage probability constraint; Bernstein-type inequalities; multiuser channels; multiuser multiple-input-single-output secure multicasting channels; multicast communication; robust secure beamforming design; local optimal rank-one solution; convex programming problems; wireless channels; energy harvesting receivers; concave programming; imperfect channel state information; array signal processing
• ISSN: 1751-8628; 1751-8636
• DOI: 10.1049/iet-com.2015.0945

In this study, the authors study simultaneous wireless information and power transfer for multiuser multiple-input–single-output secure multicasting channels with imperfect channel state information. First, a robust secure beamforming design is considered, where the transmit power is minimised subject to the secrecy rate outage probability constraint for legitimate users and the harvested energy outage probability constraint for energy harvesting receivers. The original problem is non-convex due to the presence of the probabilistic constraints. By utilising Bernstein-type inequalities, the authors transform the outage constraints into the deterministic forms. In order to identify a local optimal rank-one solution, the authors propose an efficient approach based on a constrained concave convex procedure method to convert the original problem into a sequence of convex programming problems. Finally, simulation results are provided to validate the performance of the proposed design methods.