The outage performance of multiple-input multiple-output (MIMO) technique has received intense attention in order to ensure the reliability requirement for mission-critical machine-type communication (cMTC) applications. In this paper, the outage probability is asymptotically studied for MIMO channels to thoroughly investigate the transmission reliability. To fully capture the spatial correlation effects, the MIMO fading channel matrix is modelled according to three types of Kronecker correlation structure, i.e., independent, semi-correlated and full-correlated Rayleigh MIMO channels. The outage probabilities under all three Kronecker models are expressed as representations of the weighted sum of the generalized Fox's H functions. The simple analytical results empower the asymptotic outage analyses at high signal-to-noise ratio (SNR), which are conducted not only to reveal helpful insights into understanding the behavior of fading effects, but also to offer useful design guideline for MIMO configurations. Particularly, the asymptotic outage probability is proved to be a monotonically increasing and convex function of the transmission rate. In the absence of the channel state information (CSI), the transmitter tends to equally allocate the total transmit power among its antennas to enhance the system reliability especially in high SNR regime. In the end, the analytical results are validated through extensive numerical experiments.

中文翻译：

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空间相关瑞利 MIMO 信道的渐近中断分析

为了确保关键任务机器类型通信 (cMTC) 应用的可靠性要求，多输入多输出 (MIMO) 技术的中断性能受到了广泛关注。本文对MIMO信道的中断概率进行渐近研究，以深入研究传输可靠性。为了充分捕捉空间相关效应，根据三种类型的克罗内克相关结构对MIMO衰落信道矩阵进行建模，即独立、半相关和全相关Rayleigh MIMO信道。所有三个 Kronecker 模型下的中断概率都表示为广义 Fox H 函数的加权和的表示。简单的分析结果支持在高信噪比 (SNR) 下进行渐近中断分析，进行这些分析不仅可以揭示对理解衰落效应行为的有用见解，还可以为 MIMO 配置提供有用的设计指南。特别地，渐近中断概率被证明是传输速率的单调递增和凸函数。在没有信道状态信息 (CSI) 的情况下，发射机倾向于在其天线之间平均分配总发射功率以增强系统可靠性，尤其是在高 SNR 状态下。最后，通过大量的数值实验验证了分析结果。渐近中断概率被证明是传输速率的单调递增和凸函数。在没有信道状态信息 (CSI) 的情况下，发射机倾向于在其天线之间平均分配总发射功率以增强系统可靠性，尤其是在高 SNR 状态下。最后，通过大量的数值实验验证了分析结果。渐近中断概率被证明是传输速率的单调递增和凸函数。在没有信道状态信息 (CSI) 的情况下，发射机倾向于在其天线之间平均分配总发射功率以增强系统可靠性，尤其是在高 SNR 状态下。最后，通过大量的数值实验验证了分析结果。