论文标题
Neveu的交换公式用于分析使用热点簇的无线网络
Neveu's exchange formula for analysis of wireless networks with hotspot clusters
论文作者
论文摘要
点过程的理论，尤其是固定框架内的棕榈计算，在分析无线通信网络的空间随机模型中起着基本作用。 Neveu的交换公式连接了两个共同固定点过程的各个棕榈分布，被称为棕榈微积分中最重要的结果之一。但是，到目前为止，它在无线网络的分析中的使用似乎受到限制，而这样做的原因之一可能是以众所周知的形式的公式基于Voronoi Tessellation。在本文中，我们提出了Neveu交换公式的另一种形式，该形式不依赖于Voronoi Tessellation，而是包括一种特殊情况。然后，我们证明了我们的新形式的交换公式形式对于使用群集点过程建模的热点群集对无线网络的分析很有用。
Theory of point processes, in particular Palm calculus within the stationary framework, plays a fundamental role in the analysis of spatial stochastic models of wireless communication networks. Neveu's exchange formula, which connects the respective Palm distributions for two jointly stationary point processes, is known as one of the most important results in the Palm calculus. However, its use in the analysis of wireless networks seems to be limited so far and one reason for this may be that the formula in a well-known form is based upon the Voronoi tessellation. In this paper, we present an alternative form of Neveu's exchange formula, which does not rely on the Voronoi tessellation but includes the one as a special case. We then demonstrate that our new form of the exchange formula is useful for the analysis of wireless networks with hotspot clusters modeled using cluster point processes.
