Strong Coordination over Multi-hop Line Networks
Abstract
We analyze the problem of strong coordination over a multi-hop line network in which the node initiating the coordination is a terminal network node. We assume that each node has access to a certain amount of randomness that is local to the node, and that the nodes share some common randomness, which are used together with explicit hop-by-hop communication to achieve strong coordination. We derive the trade-offs among the required rates of communication on the network links, the rates of local randomness available to network nodes, and the rate of common randomness to realize strong coordination. We present an achievable coding scheme built using multiple layers of channel resolvability codes, and establish several settings in which this scheme is proven to offer the best possible trade-offs.
Cite
@article{arxiv.1602.09001,
title = {Strong Coordination over Multi-hop Line Networks},
author = {Badri N Vellambi and Joerg Kliewer and Matthieu Bloch},
journal= {arXiv preprint arXiv:1602.09001},
year = {2016}
}
Comments
35 pages, 9 Figures, 4 Tables. A part of this work were published in the 2015 IEEE Information Theory Workshop, and a part was accepted for publication in the 50th Annual Conference on Information Sciences and Systems