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In this paper, we propose intelligent reflecting surfaces (IRS) assistedsecure wireless communications with multi-input and multi-output antennas(IRS-MIMOME). The considered scenario is an access point (AP) equipped withmultiple antennas communicates with a multi-antenna enabled legitimate user inthe downlink at the present of an eavesdropper configured with multipleantennas. Particularly, the joint optimization of the transmit covariancematrix at the AP and the reflecting coefficients at the IRS to maximize thesecrecy rate for the IRS-MIMOME system is investigated, with two differentassumptions on the phase shifting capabilities at the IRS, i.e., the IRS hasthe continuous reflecting coefficients and the IRS has the discrete reflectingcoefficients. For the former case, due to the non-convexity of the formulatedproblem, an alternating optimization (AO)-based algorithm is proposed, i.e.,for given the reflecting coefficients at the IRS, the successive convexapproximation (SCA)-based algorithm is used to solve the transmit covariancematrix optimization, while given the transmit covariance matrix at the AP,alternative optimization is used again in individually optimizing of eachreflecting coefficient at the IRS with other fixed reflecting coefficients. Forthe individual reflecting coefficient optimization, the close-form or aninterval of the optimal solution is provided. Then, the proposed algorithm isextended to the discrete reflecting coefficient model at the IRS. Finally, somenumerical simulations have been done to demonstrate that the proposed algorithmoutperforms other benchmark schemes.

Intelligent Reflecting Surface Assisted Secure Wireless Communications with Multiple-Transmit and Multiple-Receive Antennas