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In this paper, we propose to use hybrid relay-intelligent reflecting surface(HR-IRS) to improve the security performance of directional modulation (DM)system. In particular, the eavesdropper in this system works in full-duplex(FD) mode and he will eavesdrop on the confidential message (CM) as well assend malicious jamming. We aim to maximize the secrecy rate (SR) by jointlyoptimizing the receive beamforming, transmit beamforming and phase shift matrix(PSM) of HR-IRS. Since the optimization problem is un-convex and the variablesare coupled to each other, we solve this problem by iteratively optimizingthese variables. The receive beamforming and transmit beamforming are obtainedbased on generalized Rayleigh-Ritz theorem and Dinkelbach's Transformrespectively. And for PSM, two methods, called separate optimization of PSM(SO-PSM) and joint optimization of PSM (JO-PSM) are proposed. Thus, twoiterative algorithms are proposed accordingly, namely maximizing SR based onSO-PSM (Max-SR-SOP) and maximizing SR based on JO-PSM (Max-SR-JOP). The formerhas better performance and the latter has lower complexity. The simulationresults show that when HR-IRS has sufficient power budget, the proposedMax-SR-SOP and Max-SR-JOP can enable HR-IRS-aided DM network to obtain higherSR than passive IRS-aided DM network.

Beamforming and Phase Shift Design for HR-IRS-aided Directional Modulation Network with a Malicious Attacker