Partial ordering of communication channels has applications in performance analysis, and goes beyond comparisons of channels just on the basis of their Shannon capacity or error probability. Shannon defined a partial order of channel inclusion based on convex mixture of input/output degradations of a discrete memoryless channel (DMC). In this paper, extensions to channels other than DMCs are considered. In particular, additive noise channels and phase degraded channels, and multiple input multiple output (MIMO) linear Gaussian channels (LGC) are considered. For each of these models, the conditions under which the partial order becomes a lattice are also discussed.

中文翻译：

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离散无记忆通道之外的通道包含

通信通道的部分排序在性能分析中有应用，并且仅根据通道的香农容量或错误概率就超出了通道的比较范围。香农基于离散无记忆通道（DMC）的输入/输出降级的凸混合定义了通道包含的部分顺序。在本文中，考虑了DMC以外的其他渠道的扩展。特别地，考虑了附加噪声信道和相位劣化信道以及多输入多输出（MIMO）线性高斯信道（LGC）。对于这些模型中的每一个，还讨论了偏序成为晶格的条件。