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Covert transmission is investigated for a cooperative deception strategy,where a cooperative jammer (Jammer) tries to attract a multi-antenna adversary(Willie) and degrade the adversary's reception ability for the signal from atransmitter (Alice). For this strategy, we formulate an optimization problem tomaximize the covert rate when three different types of channel stateinformation (CSI) are available. The total power is optimally allocated betweenAlice and Jammer subject to Kullback-Leibler (KL) divergence constraint.Different from the existing literature, in our proposed strategy, we alsodetermine the optimal transmission power at the jammer when Alice is silent,while existing works always assume that the jammer's power is fixed.Specifically, we apply the S-procedure to convert infinite constraints intolinear-matrix-inequalities (LMI) constraints. When statistical CSI at Willie isavailable, we convert double integration to single integration using asymptoticapproximation and substitution method. In addition, the transmission strategywithout jammer deception is studied as a benchmark. Finally, our simulationresults show that for the proposed strategy, the covert rate is increased withthe number of antennas at Willie. Moreover, compared to the benchmark, ourproposed strategy is more robust in face of imperfect CSI.

A Cooperative Deception Strategy for Covert Communication in Presence of a Multi-antenna Adversary