On the Degree of Freedom for Multi-Source Multi-Destination Wireless Network with Multi-layer Relays
Abstract
Degree of freedom (DoF) region provides an approximation of capacity region in high signal-to-noise ratio (SNR) regime, while sum DoF gives the scaling factor. In this correspondence, we analyse the DoF region and sum DoF for unicast layered multi-hop relay wireless networks with arbitrary number of source/destination/relay nodes, arbitrary number of hops and arbitrary number of antennas at each node. The result is valid for quite a few message topologies. We reveal the limitation on capacity of multi-hop network due to the concatenation structure and show the similarity with capacitor network. From the analysis on bound gap and optimality condition, the ultimate capacity of multi-hop network is shown to be strictly inferior to that of single-hop network. Linear scaling law can be established when the number of hops is fixed. At cost of channel state information at transmitters (CSIT) for each component single-hop network, our achievable scheme avoids routing and simplifies scheduling.
Keywords
Cite
@article{arxiv.1101.2288,
title = {On the Degree of Freedom for Multi-Source Multi-Destination Wireless Network with Multi-layer Relays},
author = {Feng Liu and Chung Chan and Ying Jun and Zhang},
journal= {arXiv preprint arXiv:1101.2288},
year = {2015}
}
Comments
15 pages, 2 figures