On feedback in Gaussian multi-hop networks

Farzan Farnia, Ayfer Özgür
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Abstract

The study of feedback has been mostly limited to single-hop communication settings. In this paper, we consider Gaussian networks where sources and destinations can communicate with the help of intermediate relays over multiple hops. We assume that links in the network can be bidirected providing opportunities for feedback. We ask the following question: can the information transfer in both directions of a link be critical to maximizing the end-to-end communication rates in the network? Equivalently, could one of the directions in each bidirected link (and more generally at least one of the links forming a cycle) be shut down and the capacity of the network still be approximately maintained? We show that in any arbitrary Gaussian network with bidirected edges and cycles, and unicast, multiple-access or broadcast traffic, we can always identify a directed acyclic subnetwork that approximately maintains the capacity of the original network. On the other hand, with multicast and multiple unicast traffic bidirected flow across links can be critical to maximizing the end-to-end capacity.
高斯多跳网络中的反馈问题
对反馈的研究大多局限于单跳通信设置。在本文中,我们考虑高斯网络,其中源和目的可以在中间中继的帮助下进行多跳通信。我们假设网络中的链接可以是双向的,提供反馈的机会。我们提出以下问题:在一个链路的两个方向上的信息传输是否对最大化网络中的端到端通信速率至关重要?同样,每个双向链路中的一个方向(更一般地说,形成一个循环的至少一个链路)是否可以关闭,而网络的容量仍然大致保持不变?我们证明了在任意具有双向边和环的高斯网络中,在单播、多址或广播业务中,我们总能找到一个近似保持原始网络容量的有向无环子网。另一方面,对于多播和多单播业务,跨链路的双向流对于最大化端到端容量至关重要。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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