In this paper, we investigate the outage probability of per-tier in heterogeneous networks (HetNet) in the presence of aggregated interference from coexisting ad hoc networks. In ad hoc networks, a receiving node suffers the cross-tier interference signal from cellular cell and aggregated interference signal from other transmitting nodes. In order to evaluate the effect of cross-tier interference on the outage probability of ad hoc networks, we analyze the restricted region in cellular cell that the received signal interference noise ratio (SINR) of a receiving node does not exceed the SINR threshold considering the path loss model. Further, to evaluate the effect of aggregated interference of ad hoc networks, we divide the plane area into near-field area and far-field area according to whether the signal of a transmitting node could cause an outage independently or not. Based on this division, we derive the compact lower and upper boundaries of outage probability of per-tier. The computer simulations validate the results of theoretical analysis and show the effect of different factors, such as transmit power, intensity of ad hoc nodes, on the outage probability.

中文翻译：

---

HetNet 中断概率的紧凑边界评估

在本文中，我们研究了在存在来自共存自组织网络的聚合干扰的情况下，异构网络 (HetNet) 中每层的中断概率。在自组织网络中，接收节点会受到来自蜂窝小区的跨层干扰信号和来自其他发射节点的聚合干扰信号。为了评估跨层干扰对自组织网络中断概率的影响，我们分析了蜂窝小区中接收节点的接收信号干扰噪声比（SINR）不超过SINR阈值的限制区域，考虑到路径损耗模型。此外，为了评估自组织网络的聚合干扰的影响，我们根据发射节点的信号是否会独立引起中断，将平面区域划分为近场区域和远场区域。基于这种划分，我们推导出了每层中断概率的紧凑上下边界。计算机模拟验证了理论分析的结果，并显示了不同因素对中断概率的影响，如发射功率、ad hoc 节点强度。