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arXiv 0905.4926cs.ITmath.IT
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无线网络中节点密度与中断概率的折衷

On Node Density -- Outage Probability Tradeoff in Wireless Networks

Vladimir Mordachev, Sergey Loyka

摘要:

在传统的传播信道模型和一维、二维和三维空间中节点随机分布的泊松模型的基础上,提出了一种无线网络中干扰的统计模型。最接近干扰源的功率被用作主要性能指标,而不是传统上使用的总干扰功率,因为在低中断区域,它们具有相同的统计数据,使得前者是后者的精确近似。这大大简化了问题,并允许开发一个统一的框架中断概率分析,包括完全/部分干扰消除的影响,不同类型的衰落和线性滤波,单独或相互结合。当给定数量的最近的干扰被完全取消时,中断概率在这个数量上呈指数下降。三种不同的模型的部分取消被认为是通过其中断概率和比较。消除债务人影响所需的部分注销水平被量化。一个广泛的衰落过程(包括所有流行的衰落模型)的影响,包括在一个简单的方式分析,这可以是积极的或消极的,这取决于一个特定的模型和传播/系统参数。线性滤波(例如通过定向天线)的积极效果通过新的统计选择性参数来量化。分析结果在制定网络密度和中断概率之间的权衡关系,这是一个结果的随机几何节点位置,传播路径损耗和失真效应在受害者接收器之间的相互作用。

英文摘要:

A statistical model of interference in wireless networks is considered, which is based on the traditional propagation channel model and a Poisson model of random spatial distribution of nodes in 1-D, 2-D and 3-D spaces with both uniform and non-uniform densities. The power of nearest interferer is used as a major performance indicator, instead of a traditionally-used total interference power, since at the low outage region, they have the same statistics so that the former is an accurate approximation of the latter. This simplifies the problem significantly and allows one to develop a unified framework for the outage probability analysis, including the impacts of complete/partial interference cancelation, of different types of fading and of linear filtering, either alone or in combination with each other. When a given number of nearest interferers are completely canceled, the outage probability is shown to scale down exponentially in this number. Three different models of partial cancelation are considered and compared via their outage probabilities. The partial cancelation level required to eliminate the impact of an interferer is quantified. The effect of a broad class of fading processes (including all popular fading models) is included in the analysis in a straightforward way, which can be positive or negative depending on a particular model and propagation/system parameters. The positive effect of linear filtering (e.g. by directional antennas) is quantified via a new statistical selectivity parameter. The analysis results in formulation of a tradeoff relationship between the network density and the outage probability, which is a result of the interplay between random geometry of node locations, the propagation path loss and the distortion effects at the victim receiver.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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