On Outage Capacity for Incremental Relaying with Imperfect Feedback

TL;DR

This paper examines how imperfect feedback impacts the outage capacity of incremental relaying in low SNR conditions, revealing capacity reductions and providing a binary tree-based analysis method for networks with multiple relays.

Contribution

It introduces a simple binary tree-based construction rule to analyze networks with multiple relays under imperfect feedback conditions.

Findings

Imperfect feedback reduces utage capacity significantly.

Feedback reliability influences system performance.

A binary tree-based method effectively models relay networks with arbitrary relays.

Abstract

We investigate the effect of imperfect feedback on the \epsilon-outage capacity of incremental relaying in the low signal-to-noise ratio (SNR) regime. We show that imperfect feedback leads to a rescaling of the pre-log factor (comparable to the multiplexing gain for networks operating in the high SNR regime) and thus reduces the \epsilon-outage capacity considerably. Moreover, we investigate the effect of different degrees of feedback reliability on the system performance. We further derive a simple binary tree-based construction rule to analyze networks with an arbitrary number of relay nodes with respect to imperfect feedback. This rule can directly be mapped to a comprehensive matrix notation.