A Tractable Approach to Coverage and Rate in Cellular Networks
A Tractable Approach to Coverage and Rate in Cellular Networks
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DOI：
10.1109/tcomm.2011.100411.100541
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发表时间：
2011-11-01
影响因子：
8.3
通讯作者：
Ganti, Radha Krishna
中科院分区：
文献类型：
--
作者：
Andrews, Jeffrey G.;Baccelli, Francois;Ganti, Radha Krishna
蜂窝网络通常通过将基站放置在网格上来建模，移动用户要么随机分散，要么确定放置。这些模型已被广泛使用，但存在高度理想化和不太容易处理的问题，因此需要使用复杂的系统级模拟来评估覆盖/中断概率和率。长期以来，人们一直渴望更容易驾驭的模式。我们利用随机几何建立了多小区信噪比（SINR）的通用模型。在非常一般的假设下，下行SINR CCDF的表达式（相当于覆盖概率）涉及快速计算的积分，并且在一些实际的特殊情况下可以简化为普通积分（例如q函数）甚至简化为简单的封闭形式表达式。我们还从静态频率复用中推导出平均速率，然后得到覆盖增益（和平均速率损失）。我们将我们的覆盖预测与网格模型和实际基站部署进行了比较，并观察到所提出的模型是悲观的（覆盖的下限），而网格模型是乐观的，并且两者的准确性大致相同。除了更容易处理之外，所提出的模型可能更好地捕捉未来网络中日益机会主义和密集的基站安置。
Cellular networks are usually modeled by placing the base stations on a grid, with mobile users either randomly scattered or placed deterministically. These models have been used extensively but suffer from being both highly idealized and not very tractable, so complex system-level simulations are used to evaluate coverage/outage probability and rate. More tractable models have long been desirable. We develop new general models for the multi-cell signal-to-interference-plus-noise ratio (SINR) using stochastic geometry. Under very general assumptions, the resulting expressions for the downlink SINR CCDF (equivalent to the coverage probability) involve quickly computable integrals, and in some practical special cases can be simplified to common integrals (e. g., the Q-function) or even to simple closed-form expressions. We also derive the mean rate, and then the coverage gain (and mean rate loss) from static frequency reuse. We compare our coverage predictions to the grid model and an actual base station deployment, and observe that the proposed model is pessimistic (a lower bound on coverage) whereas the grid model is optimistic, and that both are about equally accurate. In addition to being more tractable, the proposed model may better capture the increasingly opportunistic and dense placement of base stations in future networks.