Distance distributions in random networks
Distance distributions in random networks
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DOI：
10.1016/j.adhoc.2012.02.005
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发表时间：
2012-08-01
期刊：
影响因子：
4.8
通讯作者：
Moltchanov, D.
中科院分区：
文献类型：
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作者：
Moltchanov, D.
考虑到随机属性建模时，在无线移动的系统，如蜂窝，ad hoc和传感器网络的连接，空间点过程。由于连通性可以表示为节点之间的距离的函数，空间过程中点之间的距离分布是特别重要的。本文综述了两种常用的空间点模型（即R-2中的齐次Poisson过程和R-2中某个区域上独立均匀分布的点）中点之间距离分布的结果。这两个模型已经存在了几十年，并且已经获得了各种与距离有关的结果。不幸的是，由于空间点过程的应用领域广泛，它们分散在多个特定领域的期刊中，研究人员仍然在浪费时间一次又一次地重新发现它们。我们试图统一这些结果，提供一个最终的参考。我们还将简要讨论它们的一些应用。(C)2012 Elsevier B.V.保留所有权利。
To account for stochastic properties when modeling connectivity in wireless mobile systems such as cellular, ad hoc and sensor networks, spatial point processes are used. Since connectivity can be expressed as a function of the distance between nodes, distance distributions between points in spatial processes are of special importance. In this paper, we survey those results available for distance distributions between points in two mostly used spatial point models, namely, the homogeneous Poisson process in R-2 and independently uniformly distributed points in a certain region of R-2. These two models are known for decades and various distance-related results have been obtained. Unfortunately, due to a wide application area of spatial point processes they are scattered among multiple field-specific journals and researchers are still wasting their time rediscovering them time after time. We attempt to unify these results providing an ultimate reference. We will also briefly discuss some of their applications. (C) 2012 Elsevier B.V. All rights reserved.