In this study, we investigate a new and practical model, ultra-wideband Slepian–Wolf multiple-access relay channel (UWB-SW-MARC) with correlated noises at the relay and receiver, which includes two important models, that is, UWB-SW multiple-access channel with correlated noises and UWB relay channel with correlated noises, as its special cases. We derive a general rate region for UWB-SW-MARC and obtain an outer bound for this model and, thereby, prove two certain capacity theorems for two important and different classes of MARC. Also, we analyze outage probability and diversity gain as the practically important concepts in wireless communications and prove that adding a relay to the multiple-access channel improves the diversity gain. Finally, we evaluate some results numerically and illustrate that the noise correlation coefficient plays an important role in determining the relay position, and show that the channel performance depends on the noise variances.

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