# Asymptotic Outage Analysis of Spatially Correlated Rayleigh MIMO Channels

## TL;DR

This paper provides an asymptotic analysis of outage probability in spatially correlated Rayleigh MIMO channels, offering insights into reliability and design guidelines for mission-critical communications.

## Contribution

It introduces a comprehensive asymptotic outage analysis for MIMO channels with Kronecker correlation models, including new analytical expressions and design insights.

## Key findings

- Outage probability increases monotonically with transmission rate.
- Equal power allocation among antennas improves reliability in high SNR.
- Analytical results are validated through extensive numerical experiments.

## Abstract

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.