Robust energy-efficient transmit design for misome wiretap channels

This paper considers an energy-efficient transmit design in a general multiple-input single-output multiple-eavesdropper (MISOME) wiretap channel. Specifically, a transmitter sends one confidential message to a legitimate receiver, which must be kept perfectly secure from several external multi-ante...

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Bibliographic Details
Published in:2016 IEEE Global Conference on Signal and Information Processing (GlobalSIP) pp. 981 - 985
Main Authors: Weidong Mei, Zhi Chen, Jun Fang
Format: Conference Proceeding
Language:English
Published: IEEE 01.12.2016
Subjects:
convex optimization
Covariance matrices
fractional programming theory
Optimization
Physical-layer security
Programming
Quality of service
Receivers
secrecy energy efficiency
Security
Transmitters
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Summary:This paper considers an energy-efficient transmit design in a general multiple-input single-output multiple-eavesdropper (MISOME) wiretap channel. Specifically, a transmitter sends one confidential message to a legitimate receiver, which must be kept perfectly secure from several external multi-antenna eavesdroppers. Assuming imperfect channel state information (CSI) at the transmitter, our goal is to design the input transmit covariance, such that the worst-case secrecy energy efficiency (WC-SEE) is maximized, subject to the quality of service (QoS) and total transmit power constraints. Due to the nonconvexity of this problem, an equivalent parametric reformulation, based on the fractional programming theory, is proposed to recast this problem as a sequence of semidefinite programs. By this means, the maximum WC-SEE can be found via a root search algorithm. Moreover, we also give an approach to constructing a rank-one optimal covariance matrix of the confidential message from our proposed algorithm, which implies the optimality of transmit beamforming to achieve the maximum WC-SEE. Numerical results are presented to verify the efficacy of our proposed method.
DOI:10.1109/GlobalSIP.2016.7905988