Outage Common Randomness Capacity Characterization of Multiple-Antenna Slow Fading Channels

TL;DR

This paper characterizes the outage common randomness capacity of MIMO slow fading channels with AWGN, providing a complete solution by deriving outage capacity and establishing a single-letter characterization of outage CR capacity.

Contribution

It offers the first complete characterization of outage CR capacity for MIMO slow fading channels with arbitrary state distribution and channel state information at the receiver.

Findings

Derived the outage capacity for MIMO slow fading channels.

Established a single-letter characterization of outage CR capacity.

Provided an achievable rate for a specific compound MIMO Gaussian channel.

Abstract

We investigate the problem of common randomness (CR) generation from discrete correlated sources aided by one-way communication over single-user multiple-input multiple-output (MIMO) slow fading channels with additive white Gaussian noise (AWGN), arbitrary state distribution and with channel state information available at the receiver side (CSIR). We completely solve the problem by first characterizing the channel outage capacity of MIMO slow fading channels for arbitrary state distribution. For this purpose, we also provide an achievable rate for a specific compound MIMO Gaussian channel. Second, we define the outage CR capacity of the MIMO slow fading channel and establish a single-letter characterization of it using our result on its outage transmission capacity.