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Secrecy Rate Optimizations for a MISO Secrecy Channel with Multiple Multiantenna Eavesdroppers

Lookup NU author(s): ANDREW Chu, Dr Martin Johnston, Dr Stephane Le Goff



This is the authors' accepted manuscript of an article that has been published in its final definitive form by IEEE, 2016.

For re-use rights please refer to the publisher's terms and conditions.


This paper investigates secrecy rate optimization problems for a multiple-input-single-output (MISO) secrecy channel in the presence of multiple multiantenna eavesdroppers. Specifically, we consider power minimization and secrecy rate maximization problems for this secrecy network. First, we formulate the power minimization problem based on the assumption that the legitimate transmitter has perfect channel state information (CSI) of the legitimate user and the eavesdroppers, where this problem can be reformulated into a second-order cone program (SOCP). In addition, we provide a closed-form solution of transmit beamforming for the scenario of an eavesdropper. Next, we consider robust secrecy rate optimization problems by incorporating two probabilistic channel uncertainties with CSI feedback. By exploiting the Bernstein-type inequality and S-Procedure to convert the probabilistic secrecy rate constraint into the determined constraint, we formulate this secrecy rate optimization problem into a convex optimization framework. Furthermore, we provide analyses to show the optimal transmit covariance matrix is rank-one for the proposed schemes. Numerical results are provided to validate the performance of these two conservative approximation methods, where it is shown that the Bernstein-type inequality-based approach outperforms the S-Procedure approach in terms of the achievable secrecy rates.

Publication metadata

Author(s): Chu Z, Xing H, Johnston M, Le Goff S

Publication type: Article

Publication status: Published

Journal: IEEE Transactions on Wireless Communications

Year: 2016

Volume: 15

Issue: 1

Pages: 283-297

Print publication date: 07/01/2016

Online publication date: 24/08/2015

Acceptance date: 17/08/2015

Date deposited: 08/11/2016

ISSN (print): 1536-1276

ISSN (electronic): 1558-2248

Publisher: IEEE


DOI: 10.1109/TWC.2015.2472405


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