The half-duplex/full-duplex DMT equality for MIMO relay channels

Let an $(m,k,n)$ half-duplex MIMO relay channel (HD-RC) have $m$, $k$, and $n$ antennas at its three nodes, and let its diversity–multiplexing tradeoff (DMT) be compared with that of the corresponding full-duplex MIMO relay channel (FD-RC). The half-duplex/full-duplex DMT equality. For the class of $(m,k,n)$ HD-RCs satisfying $m>n\geq k$, the DMT is equal to that of the corresponding MIMO FD-RC. This claim is based on explicit numerical computations; the source says that an analytic proof appears difficult, so its general validity remains open.