arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 1502.05440math.COcond-mat.stat-mech
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环上软随机几何图的连通性

Connectivity of Soft Random Geometric Graphs Over Annuli

Alexander P. Kartun-Giles, Orestis Georgiou, Carl P. Dettmann

摘要:

节点随机分布在一个环内(然后是一个壳),以形成一个点模式的通信终端,这些通信终端根据射频数据信号的瑞利衰落随机链接。然后,我们提出了这些空间嵌入图的连接概率的解析公式,描述的连接行为作为一个密集的网络限制接近。这扩展了最近的工作建模ad hoc网络在非凸区域。

英文摘要:

Nodes are randomly distributed within an annulus (and then a shell) to form a point pattern of communication terminals which are linked stochastically according to the Rayleigh fading of radio-frequency data signals. We then present analytic formulas for the connection probability of these spatially embedded graphs, describing the connectivity behaviour as a dense-network limit is approached. This extends recent work modelling ad hoc networks in non-convex domains.

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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