arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1502.00033cs.ITmath.IT
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基于最近邻模型的小区静态协作干扰分析

Analyzing Interference from Static Cellular Cooperation using the Nearest Neighbour Model

Anastasios Giovanidis, Luis David Alvarez Corrales, Laurent Decreusefond

摘要:

基站合作的问题最近已经被设置在随机几何的框架内。现有的作品认为,用户动态地选择一组站,合作为他/她的服务。然而,这种假设往往不成立。协作组可以是预定义的和静态的,节点由固定的基础设施连接。为了分析这样的潜在网络,在这项工作中,我们提出了一种基于邻近度的分组方法。它是所谓的最近邻模型的一种变体。我们将自己限制在最简单的情况下,其中只允许形成单个基站和成对基站。为此,两个新的点过程被定义从依赖稀疏的泊松点过程,一个为单打和一对。给出了它们的密度、Voronoi面、最近邻、空区和J函数等结构特征。进一步利用这些结果分析了它们的干涉场,给出了它们的期望值和拉普拉斯变换的显式表达式。研究结果为静态协作网络的性能评估提供了一个新的工具箱。

英文摘要:

The problem of base station cooperation has recently been set within the framework of Stochastic Geometry. Existing works consider that a user dynamically chooses the set of stations that cooperate for his/her service. However, this assumption often does not hold. Cooperation groups could be predefined and static, with nodes connected by fixed infrastructure. To analyse such a potential network, in this work we propose a grouping method based on proximity. It is a variation of the so called Nearest Neighbour Model. We restrict ourselves to the simplest case where only singles and pairs of base stations are allowed to be formed. For this, two new point processes are defined from the dependent thinning of a Poisson Point Process, one for the singles and one for the pairs. Structural characteristics for the two are provided, including their density, Voronoi surface, nearest neighbour, empty space and J-function. We further make use of these results to analyse their interference fields and give explicit formulas to their expected value and their Laplace transform. The results constitute a novel toolbox towards the performance evaluation of networks with static cooperation.

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