arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.12464physics.soc-phcs.NI
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移动电话网络中位置的贝叶斯估计

Bayesian estimate of position in mobile phone network

Aleksey Ogulenko, Itzhak Benenson, Itzhak Omer, Barak Alon

摘要:

移动电话定位的传统方法是基于这样的假设,即记录在呼叫详细记录(CDR)中的蜂窝塔的地理位置是设备位置的代理。然后基于整个蜂窝塔网络来构建Voronoi曲面细分,并且该曲面细分被认为是坐标系,其中设备位于CDR中记录的蜂窝塔的Voronoi多边形中。如果基于Voronoi的定位是正确的,则设备轨迹的唯一性非常高,并且可以基于其记录的位置中的3-4个来识别设备。我们提出并研究了一种基于每个天线的参数和连接数量的知识的设备定位的概率方法,该方法取决于到天线的距离。基于Voronoi的布局和现实世界布局之间的关键区别在于天线服务区域的基本重叠:位于蜂窝塔多边形中的设备可以由网络系统选择的更远的天线提供服务,以平衡网络负载。这种重叠太重要了,不容忽视。结合网络中每个天线的可用连接数的距离分布数据,我们成功地解决了重叠问题,通过应用贝叶斯推断,并构建了一个现实的设备位置分布。可能的设备定位要求对移动电话数据分析进行全面修订,我们将重点讨论隐私风险估计。

英文摘要:

The traditional approach to mobile phone positioning is based on the assumption that the geographical location of a cell tower recorded in a call details record (CDR) is a proxy for a device's location. A Voronoi tessellation is then constructed based on the entire network of cell towers and this tessellation is considered as a coordinate system, with the device located in a Voronoi polygon of a cell tower that is recorded in the CDR. If Voronoi-based positioning is correct, the uniqueness of the device trajectory is very high, and the device can be identified based on 3-4 of its recorded locations. We propose and investigate a probabilistic approach to device positioning that is based on knowledge of each antennas' parameters and number of connections, as dependent on the distance to the antenna. The critical difference between the Voronoi-based and the real world layout is in the essential overlap of the antennas' service areas: the device that is located in a cell tower's polygon can be served by a more distant antenna that is chosen by the network system to balance the network load. This overlap is too significant to be ignored. Combining data on the distance distribution of the number of connections available for each antenna in the network, we succeed in resolving the overlap problem by applying Bayesian inference and construct a realistic distribution of the device location. Probabilistic device positioning demands a full revision of mobile phone data analysis, which we discuss with a focus on privacy risk estimates.

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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