The Transdimensional Poisson Process for Vehicular Network Analysis
The Transdimensional Poisson Process for Vehicular Network Analysis
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DOI：
10.1109/twc.2021.3089553
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发表时间：
2021-11
影响因子：
10.4
通讯作者：
J. Jeyaraj;M. Haenggi;A. Sakr;Hongsheng Lu
中科院分区：
文献类型：
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作者：
J. Jeyaraj;M. Haenggi;A. Sakr;Hongsheng Lu
全面的车辆网络分析需要对街道系统和车辆位置进行建模。即使当泊松点过程（PPP）被用来模拟车辆在每条街道上的位置，分析几乎是易于处理的。这甚至适用于简单的基于平均的性能度量-成功概率，它是细粒度度量的特殊情况，即信号干扰比（SIR）的元分布（MD）。为了解决这个问题，我们提出了一种替代的跨维度的方法。在这里，街道上的一维PPP的联合被简化为一维和二维PPP的叠加，即跨维PPP（TPPP）。TPPP包括通过接收车辆的街道上的1D PPP，并将其余车辆建模为2D PPP，忽略其街道几何形状。通过SIR MD分析，我们表明，TPPP提供了很好的近似更繁琐的模型，其特征在于泊松线/棒过程的街道，我们证明了TPPP的精度进一步提高阴影下。最后，我们使用MD的结果来控制网络拥塞，通过调整传输速率，同时保持一个目标分数的可靠链路。一个关键的见解是，成功概率是一个不充分的衡量拥塞，因为它没有捕捉到的可靠性的个别环节。
A comprehensive vehicular network analysis requires modeling the street system and vehicle locations. Even when Poisson point processes (PPPs) are used to model the vehicle locations on each street, the analysis is barely tractable. That holds for even a simple average-based performance metric—the success probability, which is a special case of the fine-grained metric, the meta distribution (MD) of the signal-to-interference ratio (SIR). To address this issue, we propose the transdimensional approach as an alternative. Here, the union of 1D PPPs on the streets is simplified to the transdimensional PPP (TPPP), a superposition of 1D and 2D PPPs. The TPPP includes the 1D PPPs on the streets passing through the receiving vehicle and models the remaining vehicles as a 2D PPP ignoring their street geometry. Through the SIR MD analysis, we show that the TPPP provides good approximations to the more cumbrous models with streets characterized by Poisson line/stick processes; and we prove that the accuracy of the TPPP further improves under shadowing. Lastly, we use the MD results to control network congestion by adjusting the transmit rate while maintaining a target fraction of reliable links. A key insight is that the success probability is an inadequate measure of congestion as it does not capture the reliabilities of the individual links.