论文标题

在随机媒体访问中使用与无线网络中平均共识的随机媒体访问中的中断相关性的分析推导:扩展纸版本

Analytical Derivation of Outage Correlation in Random Media Access with Application to Average Consensus in Wireless Networks: Extended Paper Version

论文作者

Schneider, Daniel, Frey, Hannes

论文摘要

我们研究可能移动无线网络节点的有限和固定相对形成。节点采用平均共识来同意诸如编队中心之类的共同价值。在收敛速度方面,共识的表现受到有关路径损失和干扰的消息损失的影响。我们假设基于Aloha的固定式广播通信。我们的工作有两个贡献。首先,我们分析了Nakagami褪色下无线网络中随机媒体访问的中断相关性。其次,将相关术语应用于所谓的L2关节光谱和数值半径,以分析无线广播通信下平均共识的收敛速度。这产生了一个统一的框架,用于研究对控制和网络参数的关节优化,以在无线通信中的消息损失下进行共识。我们在这项工作中表明,与不相关的情况下的共识相比,无线广播通信中的停电相关性对平均共识的收敛速度产生积极影响。

We study a finite and fixed relative formation of possibly mobile wireless networked nodes. The nodes apply average consensus to agree on a common value like the formation's center. %Performance of consensus in terms of convergence speed is affected by message losses due path loss and interference. We assume framed slotted ALOHA based broadcast communication. Our work has two contributions. First, we analyze outage correlation of random media access in wireless networks under Nakagami fading. Second, the correlation terms are applied to the so called L2-joint spectral and numerical radii to analyze convergence speed of average consensus under wireless broadcast communication. This yields a unified framework for studying joint optimization of control and network parameters for consensus subject to message losses in wireless communications. Exemplary we show in this work how far outage correlation in wireless broadcast communication positively affects convergence speed of average consensus compared to consensus in the uncorrelated case.

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