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非信号协助广播信道的容量区域

The Capacity Region of the Broadcast Channel with Non-Signaling Assistance

Yuhang Yao, Syed A. Jafar

arXiv 2607.27434首次发表:更新:

AI 中文总结

该研究刻画了非信号协助下K用户离散无记忆广播信道的容量区域,发现其与佐藤区域重合,该区域基于消息子集和速率界定义,对应子集接收机的最坏情况完全协作。

AI 中文摘要

当发射机和所有K个接收机都获得非信号(NS)协助时,K用户离散无记忆广播信道的容量区域得到了完整刻画。研究表明,非信号协助的容量区域与佐藤(Sato)区域重合,该区域由所有消息子集上的和速率界定义,每个界对应该子集接收机在与边缘信道一致的最坏情况联合信道规律下的完全协作。

英文摘要

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.

论文原文

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