Poisson Hole Process: Theory and Applications to Wireless Networks
Poisson Hole Process: Theory and Applications to Wireless Networks
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DOI：
10.1109/twc.2016.2604799
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发表时间：
2016-01
影响因子：
10.4
通讯作者：
Z. Yazdanshenasan;Harpreet S. Dhillon;Mehrnaz Afshang;P. Chong
中科院分区：
文献类型：
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作者：
Z. Yazdanshenasan;Harpreet S. Dhillon;Mehrnaz Afshang;P. Chong
无线网络中的干扰场通常采用齐次泊松点过程（PPP）来建模。虽然它在建模固有的节点不规则性方面是现实的，并提供了有意义的一阶结果，但它在建模干扰管理技术的效果方面却福尔斯不足，干扰管理技术通常会在有源发射机之间引入某种形式的空间交互。在一些应用中，例如认知无线电和设备到设备网络，这种相互作用可能导致在其他同质干扰场中形成空穴。由此产生的干涉场可以精确地建模为泊松孔过程（PHP）。尽管PHP在许多应用中的重要性，在PHP中的一个典型的节点所经历的干扰的确切特征是未知的。在本文中，我们得到了几个紧的上，下界的拉普拉斯变换的这种干扰。数值比较表明，新的界限优于所有已知的界限和近似，并在所有的操作制度的利益是显着紧。推导这些紧凑而简单的边界的关键是准确地捕获典型节点周围的局部邻域，同时简化远场以获得易处理性。还讨论了通过将孔中的重叠的效果进一步收紧这些界限的想法。这些结果立即导致一个准确的表征的覆盖概率的典型节点在PHP下瑞利衰落。
Interference field in wireless networks is often modeled by a homogeneous Poisson point process (PPP). While it is realistic in modeling the inherent node irregularity and provides meaningful first-order results, it falls short in modeling the effect of interference management techniques, which typically introduces some form of spatial interaction among active transmitters. In some applications, such as cognitive radio and device-to-device networks, this interaction may result in the formation of holes in an otherwise homogeneous interference field. The resulting interference field can be accurately modeled as a Poisson hole process (PHP). Despite the importance of the PHP in many applications, the exact characterization of interference experienced by a typical node in the PHP is not known. In this paper, we derive several tight upper and lower bounds on the Laplace transform of this interference. Numerical comparisons reveal that the new bounds outperform all known bounds and approximations, and are remarkably tight in all operational regimes of interest. The key in deriving these tight and yet simple bounds is to capture the local neighborhood around the typical node accurately while simplifying the far field to attain tractability. Ideas for tightening these bounds further by incorporating the effect of overlaps in the holes are also discussed. These results immediately lead to an accurate characterization of the coverage probability of the typical node in the PHP under Rayleigh fading.