English

Graph-Theoretic Characterization of The Feasibility of The Precoding-Based 3-Unicast Interference Alignment Scheme

Information Theory 2013-05-03 v1 math.IT

Abstract

A new precoding-based intersession network coding (NC) scheme has recently been proposed, which applies the interference alignment technique, originally devised for wireless interference channels, to the 3-unicast problem of directed acyclic networks. The main result of this work is a graph-theoretic characterization of the feasibility of the 3-unicast interference alignment scheme. To that end, we first investigate several key relationships between the point-to-point network channel gains and the underlying graph structure. Such relationships turn out to be critical when characterizing graph-theoretically the feasibility of precoding-based solutions.

Keywords

Cite

@article{arxiv.1305.0503,
  title  = {Graph-Theoretic Characterization of The Feasibility of The Precoding-Based 3-Unicast Interference Alignment Scheme},
  author = {Jaemin Han and Chih-Chun Wang and Ness B. Shroff},
  journal= {arXiv preprint arXiv:1305.0503},
  year   = {2013}
}

Comments

35 pages, 4 figures, and 2 tables. This manuscript was submitted to IEEE Trans IT in May 2013

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