一个随机二分位几何关联器图的属性灵感来自车载网络
Kaushlendra Pandey1, Abhishek K Gupta1, Harpreet S Dhillon2
1Department of Electrical Engineering, Indian Institute of Technology Kanpur, Kanpur 208016, India.
Entropy (Basel, Switzerland)
|December 23, 2023
概括
本研究介绍了不规则网络的新点过程模型 (PLP-PPP),分析了对无线网络设计和负载均衡至关重要的节点度分布.
科学领域:
- 随机几何学的随机几何学
- 无线网络 无线网络 无线网络
- 点处理过程 点处理过程.
背景情况:
- 模拟车辆或传感器网络等不规则网络需要先进的点处理技术.
- 现有的模型可能无法完全捕捉在不规则的线路结构上形成的网络的复杂性.
研究的目的:
- 开发和分析用于不规则网络的新型点过程模型 (PLP-PPP).
- 描述与此点过程相关的随机双部分图中节点度的分布.
- 为高效的无线网络设计提供统计见解.
主要方法:
- 在二维波桑线过程 (PLP) 的每个行上叠加一个波桑点过程 (PPP),以创建PLP-PPP模型.
- 使用Poisson Voronoi图形 (PVT) 来分析关联图.
- 为点数,接触距离,最近邻居距离和节点度推导分布.
主要成果:
- 对于PLP-PPP来说,球内的点的确切分布.
- 导出累积分布函数 (CDF) 和概率密度函数 (PDF) 的k-th接触距离和最近邻居距离.
- 估计了随机双部分关联器图的节点度的分布.
结论:
- PLP-PPP模型为分析不规则网络提供了一个强大的框架.
- 派生的节点度分布提供了对车辆网络中基站负载的关键见解.
- 这些发现适用于各种无线网络场景,需要有效地分配资源.
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