Energy-Efficient Secure Coordinated Beamforming in Multi-Pair MISO Networks with CDI

Abstract

This paper studies the energy-efficient secure coordinated beamforming in multi-pair multiple-input single-output (MISO) networks in the presence of eavesdroppers, where the transmitters only have the channel distribution information (CDI) of the receivers and the eavesdroppers. An EE maximization problem is formulated under the constraints of rate outage probability, information leakage probability, and individual available power. Due to the fractional objective function and the probabilistic constraints, the formulated problem is non-convex and difficult to tackle. To solve it efficiently, the semidefinite relaxation (SDR) and the first-order lower bound are adopted at first, and then, an algorithm is proposed based on the successive convex approximation (SCA) and the Dinklebach's methods. It is theoretically proved that the proposed algorithm can converge to a stationary point of the considered optimization problem. Numerical results show that the proposed algorithm can significantly improve the security of the network by sacrificing a little system's EE compared with traditional design and it can converge within about ten iterations.