Finite-SNR diversity-multiplexing tradeoff for decode-and-forward relaying system allowing intra-link errors

We analyse finite-SNR diversity-multiplexing tradeoff (f-DMT) for a recently emerging decode-and-forward relaying system allowing intra-link errors (DF-IE). In this framework, an adaptive system spectrum efficiency which is assumed to be used in the system, is proportional to the capacity of an additive white Gaussian noise (AWGN) channel. The proportionality is referred as multiplexing gain to the aggressiveness of scaling the data rate by the system. The diversity gain is given by the negative log-log slope of outage probability to depict the reliability enhanced with increasing signal-to-noise ratio (SNR). The f-DMT for DF-IE is derived according to the Slepian-Wolf theorem-based outage analysis. The main results are: (i) the DF-IE system outperforms the conventional decode-and-forward (DF) system in whole SNR region, (ii) additional 0.25 multiplexing gain can be achieved by the DF-IE system. Finally, the analytical results are verified by Monte Carlo simulations.