The interference channel with a relay (ICR) is the fundamental building block of cooperation in wireless networks consisting of multiple communicating pairs. This work considers ICRs in which the links are subject to i.i.d. phase fading. Strong interference conditions are derived for the case where the links from the sources to the relay are good, leading to the characterization of the capacity region of the ICR for such scenarios. This is the first time the capacity region of this model is characterized for a non-degraded, non-cognitive scenario when all links are active and the SNRs are finite.
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