Sub-optimality of Marton's Inner Bound for the Two-Receiver Broadcast Channel

2026-08-20

AI Summary

本文证明了Marton内界对于某些离散无记忆广播信道的容量区域是严格次优的，即存在比Marton内界更大的容量区域。

Abstract

Marton's inner bound, the best-known achievable region for a general discrete memoryless broadcast channel, was proposed by Katalin Marton in 1979, and whether it always achieves the capacity region has remained open since then. In this paper, we establish its strict sub-optimality: we show that the capacity region of some discrete memoryless broadcast channels can be strictly larger than Marton's inner bound.

Problem

• Marton's Inner Bound
• Broadcast Channel
• Capacity Region

Innovation

• Sub-optimality
• Marton's Inner Bound
• Broadcast Channel
• Capacity Region