Beamforming and Power Splitting Designs for AN-Aided Secure Multi-User MIMO SWIPT Systems

In this paper, an energy harvesting scheme for a multi-user multiple-input-multiple-output secrecy channel with artificial noise (AN) transmission is investigated. Joint optimization of the transmit beamforming matrix, the AN covariance matrix, and the power splitting ratio is conducted to minimize...

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Bibliographic Details
Published in:IEEE transactions on information forensics and security 2017-12, Vol.12 (12), p.2861-2874
Main Authors: Zhu, Zhengyu, Chu, Zheng, Wang, Ning, Huang, Sai, Wang, Zhongyong, Lee, Inkyu
Format: Article
Language:English
Subjects:
Array signal processing
artificial noise
Beamforming
Complexity
Computer simulation
Covariance matrices
Covariance matrix
Energy harvesting
Energy transmission
Erbium
MIMO
MIMO (control systems)
Multi-user MIMO
Optimization
physical layer security
power splitting
Receivers
simultaneous wireless information and power transfer
Splitting
Tightness
Transmitters
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Summary:In this paper, an energy harvesting scheme for a multi-user multiple-input-multiple-output secrecy channel with artificial noise (AN) transmission is investigated. Joint optimization of the transmit beamforming matrix, the AN covariance matrix, and the power splitting ratio is conducted to minimize the transmit power under the target secrecy rate, the total transmit power, and the harvested energy constraints. The original problem is shown to be non-convex, which is tackled by a two-layer decomposition approach. The inner layer problem is solved through semi-definite relaxation, and the outer problem, on the other hand, is shown to be a single-variable optimization that can be solved by 1-D line search. To reduce computational complexity, a sequential parametric convex approximation method is proposed to find a near-optimal solution. This paper is then extended to the imperfect channel state information case with norm-bounded channel errors. Furthermore, tightness of the relaxation for the proposed schemes is validated by showing that the optimal solution of the relaxed problem is rank-one. Simulation results demonstrate that the proposed SPCA method achieves the same performance as the scheme based on 1-D but with much lower complexity.
ISSN:1556-6013
1556-6021
DOI:10.1109/TIFS.2017.2721908