Exact outage analysis of multiple-user downlink with MIMO matched-filter precoding

Abstract

Here, we address the problem of outage characterization of a single-cell multiple-user multiple-inputmultiple- output (MU-MIMO) network with matched-filter precoding at the base-station (BS). In particular, we derive an exact expression for the outage probability of any user. This expression is valid for an arbitrary number of BS antennas and mobile users. Since the expression contains an infinite sum, a tight truncation error bound has been derived to facilitate precise numerical evaluations. Furthermore, asymptotic expressions are provided for high BS transmit power and massive MIMO scenarios.