On a class of discrete memoryless broadcast interference channels

We study a class of discrete memoryless broadcast interference channels (DM-BICs), where one of the broadcast receivers is subject to the interference from a point-to-point transmission. A general achievable rate region R based on rate splitting, superposition coding and binning at the broadcast transmitter and rate splitting at the interfering transmitter is derived. Under two partial order broadcast conditions interference-oblivious less noisy and interference-cognizant less noisy, a reduced form of R is shown to be equivalent to the region based on a simpler scheme that uses only superposition coding at the broadcast transmitter. Furthermore, the capacity regions of a DM-BIC under the two partial order broadcast conditions are characterized respectively for the strong and very strong interference conditions.