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On outer bounds to the capacity region of wireless networks

机译：在无线网络容量区域的边界上

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摘要

In this correspondence, we study the capacity region of a general wireless network by deriving fundamental upper bounds on a class of linear functionals of the rate tuples at which joint reliable communication can take place. The widely studied transport capacity is a specific linear functional: the coefficient of the rate between a pair of nodes is equal to the Euclidean distance between them. The upper bound on the linear functionals of the capacity region is used to derive upper bounds to scaling laws for generalized transport capacity: the coefficient of the rate between a pair of nodes is equal to some arbitrary function of the Euclidean distance between them, for a class of minimum distance networks. This upper bound to the scaling law meets that achievable by multihop communication over these networks for a wide class of channel conditions; this shows the optimality, in the scaling-law sense, of multihop communication when studying generalized transport capacity of wireless networks.
机译：在这种对应关系中，我们通过推导速率元组的一类线性函数的基本上限来研究通用无线网络的容量区域，在这些函数上可以进行可靠的联合通信。广泛研究的运输能力是一种特定的线性函数：一对节点之间的速率系数等于它们之间的欧式距离。容量区域的线性泛函的上限用于导出广义传输容量的缩放定律的上限：一对节点之间的速率系数等于它们之间的欧式距离的任意函数，对于最小距离网络类别。缩放定律的这个上限满足了在广泛的信道条件下通过这些网络上的多跳通信可以实现的上限。在研究无线网络的通用传输容量时，这在缩放律意义上显示了多跳通信的最优性。

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