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, where the outage probability becomes independent of the phase shifts 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.

中文翻译：

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空间相关通道下的IRS辅助系统中断概率分析

本文研究了空间通道相关性对智能反射面（IRS）辅助单输入单输出（SISO）通信系统中断概率的影响。特别是，我们导出了间接通道的任意相移和相关矩阵的中断概率的新颖闭合形式表达式。为了阐明空间相关性的影响，我们进一步获得了文献中遇到的两个常见场景的闭式表达式，当大衰落系数由损耗表示时，中断概率变得与相移无关在传播距离上。数值结果验证了封闭式表达式的紧密性和有效性。此外，