Diversity-multiplexing tradeoff in a MIMO Gaussian interference channel with a relay

We derive upper and lower bounds on the diversity-multiplexing tradeoff of the multiple-input multiple-output interference channel with a relay. The upper bound is derived from the cut-set bound and the lower bound is obtained by performing compress-and-forward at the relay. Based on the obtained bounds, we derive conditions under which the two bounds coincide, resulting in the optimal diversity-multiplexing tradeoff.