The Multiple-Access Channel With Causal Side Information: Common State
The Multiple-Access Channel With Causal Side Information: Common State
复制标题
具有因果辅助信息的多路访问信道：公共状态
DOI：
10.1109/tit.2012.2216096
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发表时间：
2013
影响因子：
2.5
通讯作者：
Y. Steinberg
中科院分区：
文献类型：
--
作者：
A. Lapidoth;Y. Steinberg
我们表明，如果一个无记忆的多址接入信道（MAC）是由一个独立的和相同分布的状态序列，然后，不像单用户的情况下，容量区域通常会增加，如果状态是透露给编码器在一个严格的因果关系的方式。对于这种情况下，我们得出的容量区域的内部和外部边界。对于高斯MAC的状态序列包括信道噪声，我们计算的容量区域，并提出了一个变化的Schalkwijk-Kailath计划，实现容量的最大错误概率的双指数衰减。我们还研究了因果关系的情况下，我们得到一个可实现的区域，这是典型的严格大于天真的香农策略实现的区域。
We show that if a memoryless multiple-access channel (MAC) is governed by an independent and identically distributed state sequence, then-unlike the single-user case-the capacity region is typically increased if the state is revealed to the encoders in a strictly causal way. For this scenario, we derive inner and outer bounds on the capacity region. For the Gaussian MAC whose state sequence comprises the channel noise, we compute the capacity region and propose a variation on the Schalkwijk-Kailath scheme that achieves capacity with a double-exponential decay of the maximal probability of error. We also study the causal case for which we derive an achievable region, which is typically strictly larger than the region achievable with naïve Shannon strategies.