The Diversity Multiplexing Tradeoff of the Half-Duplex Relay Network

The diversity multiplexing-gain tradeoff (DMT) of a Rayleigh faded relay network (RN) with a single source-destination pair and n half-duplex relay nodes, all with single antennas, is characterized and shown to be equal to the DMT of an (n + 1) x 1 MISO point-to-point channel. Further, it is shown that the quantize map-and-forward (QMF) scheme with fixed, channel independent scheduling for the relays can achieve the fundamental DMT of the RN. An interesting consequence is that the DMT of the RN can be achieved without any channel state information (CSI) at the relay nodes.