Multi-hop Cooperative Wireless Networks: Diversity Multiplexing Tradeoff and Optimal Code Design
K. Sreeram, S. Birenjith, P. Vijay Kumar

TL;DR
This paper analyzes the diversity-multiplexing tradeoff in multi-hop wireless networks with single-antenna relays, providing explicit protocols and code designs that achieve optimal DMT in various network configurations.
Contribution
It characterizes the DMT of KPP and layered networks, proves linear DMT for fully-connected layered networks with fewer than four layers, and constructs short-block-length codes achieving optimal DMT.
Findings
Half-duplex constraint does not cause rate loss in many networks.
Simple amplify-and-forward protocols can achieve optimal DMT.
Constructed codes based on cyclic division algebras are effective.
Abstract
We consider single-source single-sink (ss-ss) multi-hop networks, with slow-fading links and single-antenna half-duplex relays. We identify two families of networks that are multi-hop generalizations of the well-studied two-hop network: K-Parallel-Path (KPP) networks and layered networks. KPP networks can be viewed as the union of K node-disjoint parallel relaying paths, each of length greater than one. KPP networks are then generalized to KPP(I) networks, which permit interference between paths and to KPP(D) networks, which possess a direct link from source to sink. We characterize the DMT of these families of networks completely for K > 3. Layered networks are networks comprising of relaying layers with edges existing only within the same layer or between adjacent layers. We prove that a linear DMT between the maximum diversity d_{max} and the maximum multiplexing gain of 1 is…
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Taxonomy
TopicsCooperative Communication and Network Coding · Full-Duplex Wireless Communications · Advanced MIMO Systems Optimization
