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.

翻译：部分定序通信渠道在绩效分析中具有应用性,而且超出了仅仅根据香农能力或误差概率对频道进行比较的范围。香农根据一个离散的无内存渠道的投入/产出退化的分流混合体(DMC)界定了频道包容部分顺序。本文考虑了向DMC以外的其他渠道延伸的问题,特别是添加噪音渠道和逐步退化的渠道,以及多种输入多输出(MIMO)线性高斯海峡(LGC),其中每一种模式也都讨论了部分命令成为封状的条件。