English

$Y$-$\Delta$ Product in 3-Way $\Delta$ and Y-Channels for Cyclic Interference and Signal Alignment

Information Theory 2014-01-17 v1 math.IT

Abstract

In a full-duplex 3-way Δ\Delta channel, three transceivers communicate to each other, so that a number of six messages is exchanged. In a YY-channel, however, these three transceivers are connected to an intermediate full-duplex relay. Loop-back self-interference is suppressed perfectly. The relay forwards network-coded messages to their dedicated users by means of interference alignment (IA) and signal alignment. A conceptual channel model with cyclic shifts described by a polynomial ring is considered for these two related channels. The maximally achievable rates in terms of the degrees of freedom measure are derived. We observe that the Y-channel and the 3-way Δ\Delta channel provide a YY-Δ\Delta product relationship. Moreover, we briefly discuss how this analysis relates to spatial IA and MIMO IA.

Keywords

Cite

@article{arxiv.1401.3995,
  title  = {$Y$-$\Delta$ Product in 3-Way $\Delta$ and Y-Channels for Cyclic Interference and Signal Alignment},
  author = {Henning Maier and Anas Chaaban and Rudolf Mathar},
  journal= {arXiv preprint arXiv:1401.3995},
  year   = {2014}
}

Comments

5 pages, submitted to ISIT 2014