Proactive Eavesdropping via Covert Pilot Spoofing Attack in Multi-Antenna Systems

Proactive eavesdropping is an effective method for government to monitor suspicious users who are deemed to misuse communication systems for illegal activities. In this paper, considering that a legitimate full-duplex (FD) eavesdropper tries to monitor a dubious multi-antenna system, we propose a covert pilot spoofing attack (PSA) scheme to enhance the legitimate eavesdropping performance by taking the channel training phase into consideration. For the proposed covert PSA scheme, the total error detection probability and optimal detection threshold of suspicious source are derived as the worst case for the considered monitoring system. Given the optimal detection threshold, the closed-form expressions of effective eavesdropping rate are also derived based on the results of detection at suspicious source. Furthermore, an optimal power allocation algorithm to maximize the effective eavesdropping rate is proposed under the covert PSA and transmission power constraints. Simulation results illustrate that the adversary's uncertain about channel state information (CSI) before channel estimation process, can be exploited by legitimate eavesdropper to cover the PSA without being detected. Therefore, the proposed covert PSA scheme can achieve a better performance with respect to effective eavesdropping rate and effectively combat with a suspicious multi-antenna system.