SIR Meta Distribution of $K$ -Tier Downlink Heterogeneous Cellular Networks With Cell Range Expansion
SIR Meta Distribution of $K$ -Tier Downlink Heterogeneous Cellular Networks With Cell Range Expansion
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DOI：
10.1109/tcomm.2018.2890247
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发表时间：
2018-03
影响因子：
8.3
通讯作者：
Yuanjie Wang;M. Haenggi;Z. Tan
中科院分区：
文献类型：
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作者：
Yuanjie Wang;M. Haenggi;Z. Tan
异构蜂窝网络（HCNs）是蜂窝网络发展的必要步骤。在本文中，我们应用信号干扰比（SIR）元分布框架对hcn进行了改进的SIR性能分析，重点关注基于同质独立泊松点过程（PPP）模型的$K$层异构蜂窝网络，每层都有范围扩展偏差（卸载偏差）。推导了整个网络和每一层的条件成功概率的$b$ -th时刻的表达式，并在此基础上评估和比较了精确的元分布和beta近似。获得了各层的平均成功概率、条件成功概率方差、平均本地延迟和渐近SIR增益等关键性能指标。结果表明，这些偏差对整个网络的整体平均成功概率是不利的，每层的条件成功概率的$b$ -矩曲线可以用单层PPP网络的第一矩曲线的水平位移版本紧密地逼近。我们还给出了基站活动概率区域的下界，以保持每层的平均局部延迟是有限的。
Heterogeneous cellular networks (HCNs) constitute a necessary step in the evolution of cellular networks. In this paper, we apply the signal-to-interference ratio (SIR) meta distribution framework for a refined SIR performance analysis of HCNs, focusing on $K$ -tier heterogeneous cellular networks based on the homogeneous independent Poisson point process (PPP) model, with range expansion bias (offloading bias) in each tier. Expressions for the $b$ -th moment of the conditional success probability for both the entire network and each tier are derived, based on which the exact meta distributions and the beta approximations are evaluated and compared. Key performance metrics, including the mean success probability, the variance of the conditional success probability, the mean local delay, and the asymptotic SIR gains of each tier are obtained. The results show that the biases are detrimental to the overall mean success probability of the whole network and that the $b$ -th moment curve of the conditional success probability of each tier can be tightly approximated by the horizontal shifted versions of the first moment curve of the single-tier PPP network. We also provide lower bounds for the region of the active probabilities of the base stations to keep the mean local delay of each tier finite.