超密集城市蜂窝网络中的SINR和吞吐量缩放
SINR and Throughput Scaling in Ultradense Urban Cellular Networks
摘要：
我们考虑一个密集的城市蜂窝网络，其中基站（BS）垂直堆叠以及在水平面上无限延伸，导致大于二维的（2D）的部署。使用一个双斜率路径损耗模型，很好地支持经验，我们最近的二维覆盖概率和潜在的吞吐量结果扩展到3个维度。我们证明了“临界接近路径损耗指数”$α_0$，其中SINR最终衰减到零等于维度$d$，即$α_0 \leq 3$导致在3D网络中的最终SINR为0。我们还表明，潜在的（即最好的情况下）聚合吞吐量衰减为零$α_0 < d/2$。这两个缩放结果也适用于我们称之为${3\rm{D}^{+}}$的更现实的情况，其中在用户下方没有BS，如在密集的城市网络中，用户在地面上或接近地面。
英文摘要：
We consider a dense urban cellular network where the base stations (BSs) are stacked vertically as well as extending infinitely in the horizontal plane, resulting in a greater than two dimensional (2D) deployment. Using a dual-slope path loss model that is well supported empirically, we extend recent 2D coverage probability and potential throughput results to 3 dimensions. We prove that the "critical close-in path loss exponent" $α_0$ where SINR eventually decays to zero is equal to the dimensionality $d$, i.e. $α_0 \leq 3$ results in an eventual SINR of 0 in a 3D network. We also show that the potential (i.e. best case) aggregate throughput decays to zero for $α_0 < d/2$. Both of these scaling results also hold for the more realistic case that we term ${3\rm{D}^{+}}$, where there are no BSs below the user, as in a dense urban network with the user on or near the ground.
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