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MIMO Multiway Relaying with Clustered Full Data Exchange: Signal Space Alignment and Degrees of Freedom
We investigate achievable degrees of freedom (DoF) for a multiple-input
multiple-output (MIMO) multiway relay channel (mRC) with clusters and
users per cluster. Each user is equipped with antennas and the relay with
antennas. We assume a new data exchange model, termed \emph{clustered full
data exchange}, i.e., each user in a cluster wants to learn the messages of all
the other users in the same cluster. Novel signal alignment techniques are
developed to systematically construct the beamforming matrices at the users and
the relay for efficient physical-layer network coding. Based on that, we derive
an achievable DoF of the MIMO mRC with an arbitrary network configuration of
and , as well as with an arbitrary antenna configuration of and .
We show that our proposed scheme achieves the DoF capacity when and .Comment: 13 pages, 4 figure
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