三维小基站蜂窝网络上行覆盖概率与容量分析

Analysis of Uplink Coverage Probability and Capacity for 3D Small Cellular Networks

本文针对小基站网络立体分布特性,采用全新的三维视角分析小基站网络架构,提出了一种基于三维泊松点过程(3-D Poisson Point Process,3-D PPP)的上行小基站网络模型。其核心思想是将移动台和小基站分别描述成两个独立的3-D PPP模型。首先,本文推导了小基站网络上行覆盖概率的数学表达式。接下来,基于覆盖概率的表达式,推导了上行平均信道容量的闭合表达式。通过一系列合理的假设,上行覆盖概率以及信道容量可以通过快速积分直接计算。与传统的二维模型以及用户/小基站的实际布局相比较,本文提出的模型更接近实际,能够为覆盖概率和系统容量提供更贴近的边界值。

In view of the stereoscopic distribution characteristics of small cell networks,we take a fresh look at this problem using tools from 3-D PPP,and we develop a new general model based on 3-D space for uplink cellular networks.The main idea is modeling mobile and small cells as two separate spatial PPPs.First,we derive the mathematical expressions of the uplink coverage probability for the small cell networks.Then,based on the coverage probability,the closed expression of average uplink channel capacity a typical cell is deduced.Under general assumptions,the uplink coverage probability and channel capacity can be easily evaluated through fast integral calculation.We compare our model to the traditional 2-D model and actual mobile user/small cell deployment,and we observe that the proposed model is more accurate and provides a closer bound of coverage probability.