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27 April 2024
 
  » arxiv » 1605.1178

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Optimal Degrees of Freedom Region for the Asymmetric MIMO Y Channel
Kangqi Liu ; Xiaojun Yuan ; Meixia Tao ;
Date 4 May 2016
AbstractThis letter studies the optimal degrees of freedom (DoF) region for the asymmetric MIMO Y channel, where each user $i$ ($i=1,2,3$), equipped with $M_i$ antennas, can exchange independent messages with the other two users via the help of a common relay, equipped with $N$ antennas. To deal with the asymmetric data exchange pattern within each user pair, we introduce two data exchange patterns: pairwise data exchange (PDE) and cyclic data exchange (CDE). Our proposed achievable scheme is to align each PDE pattern with weight $d$ into a $d$-dimensional subspace at the relay so as to form $d$ network-coded symbols, and to align each CDE pattern with weight $d$ into a $2d$-dimensional subspace so as to form $2d$ network-coded symbols. With PDE and CDE patterns, we obtain a complete characterization of the optimal DoF region of the asymmetric MIMO Y channel.
Source arXiv, 1605.1178
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