On the Feasibility of Wireless Shadowing Correlation Models
On the Feasibility of Wireless Shadowing Correlation Models
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DOI：
10.1109/tvt.2010.2082006
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发表时间：
2010-11-01
影响因子：
6.8
通讯作者：
Thompson, John S.
中科院分区：
文献类型：
--
作者：
Szyszkowicz, Sebastian S.;Yanikomeroglu, Halim;Thompson, John S.
人们对更详细的无线阴影模型产生了兴趣，其中可能包括非恒定阴影方差、非对数正态阴影，以及最重要的路径之间的相关性；我们将重点放在最后一个方面。本文对无线阴影中自相关和互相关的现有文献进行了结构化的综述，并试图填补相关模型分析中存在的空白。我们对这些模型进行了调查，并认为，正如之前所观察到的那样，某些模型在数学上是不可行的，这可能会导致模拟或分析中的问题。然后，我们阐述了检验模型是否为正半定的一些定理，这是可行的中心必要条件，并相应地评价了已有的模型。此外，我们根据模型的物理可信度来评估模型，这导致我们从众多模型中选择一个作为迄今为止最好的模型。本文对如何在工作中实现影子相关，如何选择合适的相关模型，以及如何修改现有模型或创建新模型以使其满足数学上的可行性具有一定的指导意义。
There is emerging interest in more detailed models for wireless shadowing, which may include nonconstant shadowing variance, non-lognormal shadowing, and, most importantly, correlation between paths; we focus on this last aspect. This paper offers a structured synthesis of the existing literature on autocorrelation and cross-correlation in wireless shadowing and attempts to fill existing gaps in the analysis of correlation models. We make a survey of these models and argue, as has previously been observed, that certain models are not mathematically feasible, which may lead to problems in simulations or analysis. We then state some theorems that test whether the models are positive semidefinite, which is the central necessary condition for feasibility, and evaluate the existing models accordingly. Additionally, we evaluate the models according to their physical plausibility, which leads us to choose one model among many as arguably the best one in existence so far. This paper should be useful as a guide on how to implement shadowing correlation in one's work, how to choose an appropriate correlation model, and how to modify existing models or create new models so that they fulfill mathematical feasibility.