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Studying the SINR Process of the Typical User in Poisson Networks Using Its Factorial Moment Measures

机译：使用阶乘矩量度研究Poisson网络中典型用户的SINR过程

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摘要

Based on a stationary Poisson point process, a wireless network model with random propagation effects (shadowing and/or fading) is considered in order to examine the process formed by the signal-to-interference-plus-noise ratio (SINR) values experienced by a typical user with respect to all the base stations in the down-link channel. This SINR process is completely characterized by deriving its factorial moment measures, which involve numerically tractable, explicit integral expressions. This novel framework naturally leads to expressions for the -coverage probability, including the case of random SINR threshold values considered in multi-tier network models. While the -coverage probabilities correspond to the marginal distributions of the order statistics of the SINR process, a more general relation is presented, connecting the factorial moment measures of the SINR process to the joint densities of these order statistics. This gives a way for calculating the exact values of the coverage probabilities arising in a general scenario of signal combination and interference cancellation between base stations. The presented framework consisting of the mathematical representations of SINR characteristics with respect to the factorial moment measures holds for the whole domain of SINR, and is amenable to considerable model extension.
机译：基于静态泊松点过程，考虑具有随机传播效应（阴影和/或衰落）的无线网络模型，以检查由信号经历的信噪比（SINR）值形成的过程关于下行链路信道中所有基站的典型用户。此SINR过程的完全特征在于推导其阶乘矩量度，其中涉及数值易处理的显式积分表达式。这种新颖的框架自然会产生-coverage概率的表达式，包括在多层网络模型中考虑的随机SINR阈值的情况。尽管-coverage概率对应于SINR过程的阶跃统计量的边际分布，但提出了一个更一般的关系，将SINR过程的阶乘矩量度与这些阶跃统计量的联合密度相关联。这提供了一种计算在基站之间的信号组合和干扰消除的一般情况下出现的覆盖概率的精确值的方法。所提出的框架由相对于阶乘矩量度的SINR特性的数学表示组成，适用于SINR的整个域，并且适用于相当大的模型扩展。

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