Performance Analysis and Optimization for Coordinated Direct and Relay Covert Transmission With Multiantenna Warder

Abstract

Covert communication is crucial to ensure the safety of wireless communications in Internet of Things (IoT) systems. In this paper, a multi-antenna relay is employed to enhance the communication link and avoid the transmission being detected by the multi-antenna warder simultaneously. Considering the dynamic fluctuating fading channels of IoT systems, a novel adaptive coordinated direct and relay transmission (ACDRT) scheme is proposed where the relay switches on/off adaptively to maximize the achievable covert rate. The covertness constraint requirements are derived with instantaneous and statistical warder-related channel state information based on the availability of the channel information in practical systems. Since both the direct and the relay links impact the system performance, the optimization problem is formulated, where the beamforming vectors are coupled. A semidefinite relaxation based line search method is proposed to address this problem. Besides, the globally optimal solutions can be obtained by the proposed method, which is rigorously proved mathematically. In addition, the conditions for achieving a positive covert rate are analyzed with the multi-antenna warder. Simulations demonstrate that the performance of the ACDRT is robust to covertness requirements when the positive rate condition holds, and significant covert rate gains can be obtained by the ACDRT with the multi-antenna relay compared with the conventional systems.