We consider the massive Multiple Input Multiple Output (MIMO) diversity channel affected by independent and identically distributed Rayleigh fading, with linear processing at both transmitter and receiver sides, and analyze the outage capacity for large number of antennas. We first discuss the classical Single Input Multiple Output (SIMO) diversity channel that uses Maximal Ratio Combining (MRC) or Selection Combining (SC). For MRC, a numerical computation and a Gaussian Approximation (GA) are considered, whereas for SC an exact evaluation is possible. The analysis is then straightforwardly extended to the Multiple Input Single Output (MISO) system that uses Maximal Ratio Transmission (MRT) or transmit antenna selection. The general Multiple Input Multiple Output (MIMO) system that pursues full diversity is finally considered, with both optimal linear processing and simple antenna selection at both transmitter and receiver. If the number of antennas is sufficiently large on at least one side, the outage capacity of each considered diversity channel approaches that of a suitable reference Additive White Gaussian Noise (AWGN) channel with properly defined Signal-to-Noise Ratio (SNR), which provides a performance benchmark. This conclusion is valid for large but realistic number of antennas compatible with the assumption of independent fading.

中文翻译：

---

关于大规模 MIMO 分集信道的中断容量

我们考虑了受独立同分布瑞利衰落影响的大规模多输入多输出 (MIMO) 分集信道，在发射机和接收机侧进行线性处理，并分析大量天线的中断容量。我们首先讨论使用最大比率组合 (MRC) 或选择组合 (SC) 的经典单输入多输出 (SIMO) 分集通道。对于 MRC，考虑了数值计算和高斯近似 (GA)，而对于 SC，可以进行精确的评估。然后将分析直接扩展到使用最大比传输 (MRT) 或发射天线选择的多输入单输出 (MISO) 系统。最后考虑追求全分集的通用多输入多输出（MIMO）系统，具有最佳线性处理和简单的发射机和接收机天线选择。如果至少一侧的天线数量足够大，则每个考虑的分集信道的中断容量接近具有适当定义的信噪比 (SNR) 的合适参考加性高斯白噪声 (AWGN) 信道的中断容量，即提供性能基准。该结论适用于与独立衰落假设兼容的大量但实际数量的天线。每个考虑的分集信道的中断容量接近具有适当定义的信噪比 (SNR) 的合适参考加性高斯白噪声 (AWGN) 信道的中断容量，这提供了性能基准。该结论适用于与独立衰落假设兼容的大量但实际数量的天线。每个考虑的分集信道的中断容量接近具有适当定义的信噪比 (SNR) 的合适参考加性高斯白噪声 (AWGN) 信道的中断容量，这提供了性能基准。该结论适用于与独立衰落假设兼容的大量但实际数量的天线。