具备非信令辅助的多址信道的容量区域
The Capacity Region of the Multiple Access Channel with Non-Signaling Assistance
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中文总结 AI 辅助
该研究完整表征了具备非信令辅助的多发送器多址信道的容量区域，发现其容量乘法增益极值为K。
中文摘要 AI 辅助
当K个发送器和接收器均可使用非信令（NS）辅助时，K个发送器的离散无记忆多址信道（MAC）的容量区域得到了完整表征。研究表明，该容量区域的形式与MAC的经典容量区域相同，只是允许发送器之间的输入分布存在任意依赖关系。具体而言，非信令辅助的容量区域与Fawzi和Fermé针对K=2个发送器建立的外边界向K个发送器的自然推广相匹配。此外，我们给出了K个发送器MAC的示例，其中非信令辅助带来的容量乘法增益可任意接近K。结合现有工作的上界，这确定K是所有K个发送器MAC场景中非信令辅助带来的乘法增益的极值。
英文摘要
The capacity region of the $K$-sender discrete memoryless multiple access channel (MAC) is fully characterized when non-signaling (NS) assistance is available to all $K$ transmitters and the receiver. It is shown to have the same form as the classical capacity region of the MAC, except that the input distribution is allowed to be arbitrarily dependent across the senders. In particular, the NS-assisted capacity region matches the natural generalization to $K$ senders of an outer bound that was previously established by Fawzi and Fermé for $K=2$ senders. Additionally, we provide examples of $K$-sender MACs where the multiplicative gain in capacity from NS-assistance is arbitrarily close to $K$. Combined with an upper bound from prior work, this establishes $K$ as the extremal value of the multiplicative gain from NS-assistance across all $K$-sender MAC settings.
