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Capacity Characterization for State-Dependent Gaussian Channel With a Helper

机译：带有辅助函数的状态相关高斯信道的容量表征

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摘要

The state-dependent point-to-point Gaussian channel with a helper is first studied, in which a transmitter communicates with a receiver via a state-corrupted channel. The state is not known to the transmitter nor to the receiver, but known to a helper noncausally, which then wishes to assist the receiver to cancel the state. Differently from the previous work that characterized the capacity only in the infinite state power regime, this paper explores the general case with arbitrary state power. A lower bound on the capacity is derived based on an achievable scheme that integrates direct state subtraction and single-bin dirty paper coding. By analyzing this lower bound and further comparing it with the existing upper bounds, the capacity of the channel is characterized for a wide range of channel parameters. Such an idea of characterizing the capacity is further extended to study the two-user state-dependent multiple access channel with a helper. By comparing the derived inner and outer bounds, the channel parameters are partitioned into appropriate cases, and for each case, either segments on the capacity region boundary or the full capacity region are characterized.
机译：首先研究带有辅助器的状态相关的点对点高斯信道，其中发射机通过状态损坏的信道与接收机通信。该状态对于发送器或接收器都不是已知的，但是对于帮助者而言是非因果的，其然后希望帮助接收器取消该状态。与以前的工作仅以无限状态权力为特征的能力不同，本文探讨了具有任意状态权力的一般情况。基于将直接状态减法和单箱脏纸编码集成在一起的可实现方案，得出容量的下限。通过分析此下限并将其与现有上限进行进一步比较，可针对各种信道参数来表征信道容量。这种表征容量的想法被进一步扩展为使用助手研究两个用户状态相关的多路访问通道。通过比较导出的内部和外部边界，将信道参数划分为适当的情况，并针对每种情况，对容量区域边界上的分段或整个容量区域进行特征化。

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