Bounds on the capacity region of a class of compound interference channels

We derive inner and outer bounds on the capacity region of a class of compound interference channels and quantify the gap between these bounds. From this we derive the capacity region of the compound version of El Gamal and Costa’s deterministic interference channel, and characterize to within 3 bits the capacity region of scalar compound Gaussian interference channels. Our main contributions involve a novel achievable scheme for compound interference channels and genie-aided outer bounds based on the intuition derived from the typical error events of the achievable scheme.