AI 中文总结
本文针对双接收者广播信道,证明了1979年提出的马尔顿内界存在严格次优性,即部分离散无记忆广播信道的容量区域严格大于该内界,解决了其是否总能达到容量区域的长期开放问题。
AI 中文摘要
马尔顿内界是一般离散无记忆广播信道最知名的可达速率区域,由卡塔林·马尔顿于1979年提出,其是否总能达到容量区域的问题自提出以来一直悬而未决。本文证实其存在严格次优性:部分离散无记忆广播信道的容量区域可严格大于马尔顿内界。
英文摘要
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.