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This paper establishes Diversity-Multiplexing Trade-off (DMT) of the four-phase Decode-and-Forward (DF) protocol in the half-duplex, non-separated two-way relay channel. The authors consider a fading channel model where the source relay links are Rayleigh distributed but the direct link between sources is left more general as Nakagami-m distributed and investigate for any possible gains in the achievable DMT using four-phase Hybrid BroadCast (HBC) protocol, as compared to three-phase Time-Division BroadCast (TDBC) protocol. For the statistically symmetric case of Rayleigh fading and asymmetric fading with more stable direct link (m > 1), the optimal DMT of the HBC protocol is computed, and is shown to be achieved by a three-phase orthogonal variant, TDBC protocol.
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