Stable Throughput Region of the Two-User Broadcast Channel

TL;DR

This paper characterizes the stable throughput region of a two-user broadcast channel, analyzing general conditions and specific coding strategies, including superposition coding and different decoding approaches, to understand stability and convexity.

Contribution

It provides the first comprehensive stability region analysis for the two-user broadcast channel, including conditions for convexity and specific coding strategies.

Findings

Stability region characterized for general case.

Conditions identified for convexity of the stability region.

Analysis of superposition coding with different decoding strategies.

Abstract

In this paper we consider the two-user broadcast channel and we characterize its stable throughout region. We start the analysis by providing the stability region for the general case without any specific considerations on transmission and reception mechanisms. We also provide conditions for the stable throughput region to be convex. Subsequently, we consider the case where the transmitter uses superposition coding and we consider two special cases for the receivers. The first one is when both receivers treat interference as noise. The second is when the user with a better channel uses successive decoding and the other receiver treats interference as noise.