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The Dynamic Decode-and-Forward (DDF) protocol and the Hybrid DDF andAmplified-and-Forward (HDAF) protocol for the multiple-access relay channel(MARC) with quasi static fading are evaluated using the Zheng-Tsediversity-multiplexing tradeoff (DMT). We assume that there are two users, onehalf-duplex relay, and a common destination, each equipped with single antenna.For the Rayleigh fading, the DDF protocol is well known and has been analyzedin terms of the DMT with infinite block length. By carefully dealing withproperties specific to finite block length, we characterize the finite blocklength DMT which takes into account the fact that the event of decoding errorat the relay causes the degradation in error performance when the block lengthis finite. Furthermore, we consider the situation where the destination doesnot have a priori knowledge of the relay decision time at which the relayswitches from listening to transmitting. By introducing a decision rejectioncriterion such that the relay forwards message only when its decision isreliable, and the generalized likelihood ratio test (GLRT) at the destinationthat jointly decodes the relay decision time and the information message, ouranalysis show that the optimal DMT is achievable as if there is no decodingerror at the relay and the relay decision time is known at the destination.Therefore, infinite block length and additional overhead for communicating thedecision time are not needed for the DDF to achieve the optimal DMT. To furtherimprove the DMT, we propose the HDAF protocol which take advantages of both theDDF and the Amplified-and-Forward protocols by judiciously choosing whichprotocol to use. Our result shows that the HDAF protocol outperforms theoriginal DDF in the DMT perspective. Finally, a variant of the HDAF protocolwith lower implementation complexity without sacrificing the DMT performance isdevised.

Diversity-Multiplexing Tradeoff in the Multiaccess Relay Channel with Finite Block Length