… of relay compression matrix and source precoding matrices. After obtaining the optimal
DoF region, we study the optimal sum DoF by solving a linear programing problem. Our DoF …

… We show that the DoF for the MIMO multi-way relay channel … antennas at the relay is sufficient
to achieve the optimal DoF. We … users, and obtain the optimal DoF for several scenarios of …

… always optimal for users to utilize all the antennas at the relay. … relay channel to analyze
their achievable DoF, and then we apply it to the general multiuser MIMO two-way relay channels…

… , the DoF analysis for multi-user MIMO two-way relay channel … sum DoF of the considered
MIMO two-way X relay channel … best knowledge, the sum DoF and DoF region of the channel …

… Since the information theoretic converse is missing for the regime max{N,L} < 2 min{M,N,L},
finding the optimal DoF region for our channel model is a logical next step of research. …

… can achieve the optimal DoF in medium to high DoF regions. It was also … relaying channels
are able to avoid the DoF saturation of conventional single-hop MIMO interference channels. …

… in determining the DoF region region of the … DoF region of our original channel when the
IR is restricted to memoryless linear operations. The best linear scheme for our original channel …

… Throughout this paper, it is assumed that perfect channel state information (CSI) is available
… total DOF for the MIMO two-way X relay channel. We analyzed the upper bound on the DOF …

… two-user Gaussian interference relay channel (IRC) is … that the relay does not increase the
degrees of freedom (DoF) of the … very close to optimal if the channels to/from the relay are very …

… optimized strategy achieves the DoF region of the channel with N ≤ M. The converse is
provided by a DoF region … was derived in [15] for characterizing the sum-DoF of the Y-channel.…