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arXiv 2006.00290cs.ITeess.SPmath.IT
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无线网络中信息平均峰值年龄的空间分布

Spatial Distribution of the Mean Peak Age of Information in Wireless Networks

Praful D. Mankar, Mohamed A. Abd-Elmagid, Harpreet S. Dhillon

摘要:

本文考虑了一个大规模的无线网络组成的源-目的地(SD)对,其中的源发送时间-敏感信息,称为状态更新,以时隙的方式到其相应的目的地。我们采用年龄的信息(AoI)量化的新鲜度的状态更新测量在两个不同的排队纪律,即类型I和II队列的目的地节点。第一类队列被假定为以先到先服务(FCFS)的方式传输状态更新,没有存储设施。然而,类型I队列可能不一定最小化AoI,因为在当前更新成功传输之前,将不允许新更新进入服务器。为了克服这一缺点,我们考虑类型II队列,其中在给定的传输时隙的最新状态更新,以最小化的AoI传输。由于给定链路的更新传递速率是从接收器看到的干扰场的函数,所以时间平均AoI可以被视为空间上的随机变量。在本文中,我们的目标是通过将SD对观察到的平均AoI的空间分布建模为泊松双极过程来表征。为了实现这一目标,我们首先获得准确的边界上的时刻的成功概率,同时有效地捕捉干扰引起的耦合活动的SD对。利用这一结果,然后我们推导出紧边界的时刻,以及峰值AoI的空间分布。我们的数值结果验证了我们的分析结果,并证明了各种系统设计参数对平均峰值AoI的影响。

英文摘要:

This paper considers a large-scale wireless network consisting of source-destination (SD) pairs, where the sources send time-sensitive information, termed status updates, to their corresponding destinations in a time-slotted fashion. We employ Age of information (AoI) for quantifying the freshness of the status updates measured at the destination nodes for two different queuing disciplines, namely Type I and II queues. Type I queue is assumed to transmit the status updates in a first-come-first-served (FCFS) fashion with no storage facility. However, Type I queue may not necessarily minimize AoI because a new update will not be allowed to enter a server until the current update has been successfully transmitted. To overcome this shortcoming, we consider Type II queue in which the most recent status update available at a given transmission slot is transmitted in order to minimize the AoI. As the update delivery rate for a given link is a function of the interference field seen from the receiver, the temporal mean AoI can be treated as a random variable over space. Our goal in this paper is to characterize the spatial distribution of the mean AoI observed by the SD pairs by modeling them as a Poisson bipolar process. Towards this objective, we first derive accurate bounds on the moments of success probability while efficiently capturing the interference-induced coupling in the activities of the SD pairs. Using this result, we then derive tight bounds on the moments as well as the spatial distribution of peak AoI. Our numerical results verify our analytical findings and demonstrate the impact of various system design parameters on the mean peak AoI.

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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