Title
Probabilistic Robust Secure Beamforming in MISO Channels With Imperfect LCSI and Statistical ECSI.
Abstract
In this paper, we investigate the robust secure transmit beamformming design for multiple-input single-output wiretap channels overheard by multiple non-collaborating single-antenna eavesdroppers. Assuming that at the transmitter, the instantaneous legitimate receiver's channel state information (CSI) is imperfect and only the statistical eavesdroppers' CSI is known, we seek to maximize the target secrecy rate R with the total transmit power constraint and the secrecy outage probability constraint. The resulting outage-constrained secrecy rate maximization (O-SRM) is non-convex and difficult to solve. Thus, we develop an efficient algorithm to solve it and determine the robust secure beamforming design. Specifically speaking, we first prove that the original O-SRM problem can be solved by an equivalent outage-constrained power minimization problem (O-PMP), which is easy to perform semi-definite relaxation (SDR) and can be solved by semi-definite program (SDP) consequently. Second, we transform the non-convex secrecy rate outage constraints into deterministic ones by resorting to Bernstein-type inequality II. Finally, by solving the convex approximation of the O-PMP with different Rs and bisection search over R, we convert the original O-SRM problem into a sequence of solvable SDPs. Simulation results are provided to verify the secrecy-rate performance improvement of the proposed robust beamforming compared with the existing worst-case design proposed by Li and Ma and the simple non-robust maximum-ratio transmission.
Year
DOI
Venue
2017
10.1109/ACCESS.2017.2712569
IEEE ACCESS
Keywords
Field
DocType
Physical layer security,MISO wiretap channels,robust secure beamforming,semi-definite program
Beamforming,Mathematical optimization,Transmitter power output,Computer science,Communication channel,Robustness (computer science),Probabilistic logic,Maximization,Channel state information,Performance improvement
Journal
Volume
ISSN
Citations 
5
2169-3536
1
PageRank 
References 
Authors
0.35
24
3
Name
Order
Citations
PageRank
Jing Xu174.26
Siwen Xu210.69
Chongbin Xu3235.10