Problem
Research questions and friction points this paper is trying to address.
broadcast channel
capacity region
non-signaling assistance
discrete memoryless channel
multi-user communication
The Capacity Region of the Broadcast Channel with Non-Signaling Assistance
🤖 AI Summary
This work investigates the capacity region of the K-user discrete memoryless broadcast channel with non-signaling assistance, where non-signaling resources are shared among the transmitter and all receivers. By employing information-theoretic analysis, modeling non-signaling constraints, and introducing a worst-case channel coupling technique, the study rigorously establishes— for the first time—that the capacity region exactly coincides with the Sato region. The Sato region is defined as the set of rate tuples achievable under full cooperation among any subset of messages, evaluated over the worst-case joint channel consistent with the given marginals. This result fully characterizes the fundamental performance gain enabled by non-signaling resources in multiuser communication and provides a theoretical foundation for leveraging such non-classical correlations to enhance communication efficiency.
📝 Abstract
The capacity region of the $K$-user discrete memoryless broadcast channel is fully characterized when non-signaling (NS) assistance is available to the transmitter and all $K$ receivers. The NS-assisted capacity region is shown to coincide with Sato's region, i.e., the region defined by sum-rate bounds over all subsets of messages, where each bound corresponds to full cooperation among that subset of receivers under a worst-case joint channel law consistent with the marginal channels.
Innovation
Methods, ideas, or system contributions that make the work stand out.
non-signaling assistance
broadcast channel
capacity region
Sato's region
sum-rate bounds
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