In order to meet the demands of future innovative applications, many efforts have been made to exceed the limits predicted by Shannon's Theory. Besides the investigation of beyond-Shannon metrics such as security, latency, and semantics, another direction is to jointly design the transceiver and the environment by utilizing the intelligent reflecting surface (IRS). In this paper, we consider the analysis and design of IRS-aided multiple-input multiple-output (MIMO) secure communications, which has attracted much research attention but still in its infancy. For example, despite their importance, the fundamental limits of IRS-aided wiretap MIMO communications are not yet available in the literature. In this paper, we will investigate these fundamental limits by determining the ergodic secrecy rate (ESR) and secrecy outage probability (SOP). For that purpose, the central limit theorem (CLT) for the joint distributions of the mutual information (MI) statistics over the IRS-aided MIMO secure communication channel is derived by utilizing the random matrix theory (RMT). The derived CLT is then used to obtain the closed form expressions for the ESR and SOP, which are also extended to the scenario with multiple multi-antenna eavesdroppers. Based on the theoretical results, algorithms for maximizing the artificial noise (AN) aided ESR and minimizing the SOP are proposed. Numerical results validate the accuracy of the theoretical results and effectiveness of the proposed optimization algorithms.
翻译:为了满足未来创新应用的需求,已经做出许多努力,以超过香农理论预测的极限。除了调查安全、延缓和语义学等超强指标外,另一个方向是利用智能反射表面(IRS)共同设计收发器和环境。在本文件中,我们考虑分析和设计IRS辅助的多投入多产出安全通信(MIIMO)的分析和设计,该多投入多产出安全通信吸引了大量研究关注,但仍处于初级阶段。例如,尽管IRS辅助的电路MIMO通信具有重要性,但文献中尚不具备其基本限度。在本文中,我们将通过使用智能保密保密率(ERS)和保密退出概率(SOP)的可能性(SOP)联合发布共同信息(MII)的多投入多产出安全通信(MIMIMO)的分析和数据。 使用随机矩阵理论(RMT ), 衍生的CLT 和 IMIMO 的理论分析结果(SOMS ),然后用于获取EOPSARVS的封闭式模型。