It has been a challenging task to derive the complementary cumulative distribution function (CCDF) of aggregate interference as closed-form in Poisson point process (PPP). In this paper, we consider wireless communication networks where transmitters are all distributed according to homogeneous PPP and study the CCDF of the interference. Mainly, we derive generalized bounds on the CCDF of aggregate interference from whole homogeneous PPP based on discretization of interference, which considerably enhance tightness compared to the previous bounds. These bounds can be used to the analysis requiring the distribution for aggregate interference, such as deployment and activation of BSs, massive MIMO, and millimeter wave communication networks. As examples of utilizing the derived bounds, we derive tractable coverage probabilities of uplink non-orthogonal multiple access (NOMA) users and downlink users in cellular networks under line-of-sight(LoS)/non-line-of-signt (NLOS) channels, respectively. In NOMA, we derive the closed-form bounds on coverage probability when successive interference cancellation is adopted for NOMA signal demodulation. Using the proposed bounds, we also obtain the bounds on coverage probability of a cellular system with LoS/NLOS channels. The tightness of bounds in this work is shown via numerical comparison. Moreover, we mathematically prove the convergence of bounds to exact CCDF.

中文翻译：

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改进的干扰分布闭式界及其在蜂窝网络中易处理分析的应用


在泊松点过程（PPP）中导出聚集干扰的互补累积分布函数（CCDF）作为封闭形式一直是一项具有挑战性的任务。在本文中，我们考虑发射机均按照同质 PPP 分布的无线通信网络，并研究干扰的 CCDF。主要是，我们基于干扰的离散化，从整个同质 PPP 中推导出聚合干扰 CCDF 的广义界限，与之前的界限相比，这大大提高了紧密性。这些界限可用于需要聚合干扰分布的分析，例如基站、大规模 MIMO 和毫米波通信网络的部署和激活。作为利用导出边界的示例，我们导出了视距（LoS）/非符号线（NLOS）下蜂窝网络中上行链路非正交多址（NOMA）用户和下行链路用户的易于处理的覆盖概率渠道，分别。在NOMA中，我们推导了采用连续干扰消除进行NOMA信号解调时覆盖概率的封闭式界限。使用所提出的界限，我们还获得了具有视距/非视距信道的蜂窝系统的覆盖概率的界限。这项工作中界限的严格性是通过数值比较来显示的。此外，我们在数学上证明了边界收敛到精确的 CCDF。