This paper investigates the impact of spatial channel correlation on the outage probability of intelligent reflecting surface (IRS)-assisted single-input single-output (SISO) communication systems. In particular, we derive a novel closed-form expression of the outage probability for arbitrary phase shifts and correlation matrices of the indirect channels. To shed light on the impact of the spatial correlation, we further attain the closed-form expressions for two common scenarios met in the literature when the large-scale fading coefficients are expressed by the loss over a propagation distance. Numerical results validate the tightness and effectiveness of the closed-form expressions. Furthermore, the spatial correlation offers significant decreases in the outage probability as the direct channel is blocked.

翻译：本文探讨空间信道相关关系对智能反射表面(IRS)辅助单投入单输出通信系统(SISO)通信系统失灵概率的影响,特别是,我们得出了一种新型的封闭式表达式,表示任意阶段转移和间接渠道相关矩阵的断裂概率。为了说明空间相关性的影响,我们进一步实现了文献中两种常见假设的封闭式表达式,即当大规模衰减系数表现为传播距离的损耗时。数字结果验证了封闭式表达式的紧凑性和有效性。此外,随着直接通道被阻断,空间相关性也大大降低了断裂概率。