On broadcast channels with binary inputs and symmetric outputs

TL;DR

This paper investigates the capacity regions of binary-input, symmetric-output broadcast channels, exploring the ordering of channels and identifying classes where bounds differ, revealing new insights into receiver dominance.

Contribution

It introduces a partial order based on more capable channels for binary-input symmetric-output broadcast channels, revealing surprising connections and differences in known bounds.

Findings

Identification of the partial order induced by more capable channels

Discovery of classes where inner and outer bounds differ

Insights into receiver dominance in symmetric broadcast channels

Abstract

We study the capacity regions of broadcast channels with binary inputs and symmetric outputs. We study the partial order induced by the more capable ordering of broadcast channels for channels belonging to this class. This study leads to some surprising connections regarding various notions of dominance of receivers. The results here also help us isolate some classes of symmetric channels where the best known inner and outer bounds differ.