Analysis of Fixed Outage Transmission Schemes: A Finer Look at the Full Multiplexing Point

TL;DR

This paper examines transmission schemes with fixed outage probability that increase rate with SNR, providing detailed performance analysis beyond traditional asymptotic metrics, highlighting the benefits of diversity and ARQ.

Contribution

It introduces an affine approximation to outage capacity for diverse systems, offering a more accurate performance analysis in the fixed outage regime.

Findings

Diversity schemes significantly improve outage capacity.

Affine approximation effectively models high SNR performance.

ARQ provides notable performance gains beyond diversity benefits.

Abstract

This paper studies the performance of transmission schemes that have rate that increases with average SNR while maintaining a fixed outage probability. This is in contrast to the classical Zheng-Tse diversity-multiplexing tradeoff (DMT) that focuses on increasing rate and decreasing outage probability. Three different systems are explored: antenna diversity systems, time/frequency diversity systems, and automatic repeat request (ARQ) systems. In order to accurately study performance in the fixed outage setting, it is necesary to go beyond the coarse, asymptotic multiplexing gain metric. In the case of antenna diversity and time/frequency diversity, an affine approximation to high SNR outage capacity (i.e., multiplexing gain plus a power/rate offset) accurately describes performance and shows the very significant benefits of diversity. ARQ is also seen to provide a significant performance advantage, but even an affine approximation to outage capacity is unable to capture this advantage and outage capacity must be directly studied in the non-asymptotic regime.