Interference channels with arbitrarily correlated sources

In this paper, we study interference channels with arbitrarily correlated sources. A sufficient condition is found for reliably communicating a pair of correlated sources over a discrete memoryless interference channel. With independent sources, the sufficient condition reduces to the Han-Kobayashi achievable rate region for the interference channel. For a special correlation structure (in the sense of Slepian-Wolf, 1973), the proposed region reduces to the known achievable region for interference channels with common information. A simple example is given to show that the separation approach, with Slepian-Wolf encoding followed by optimal channel code, is strictly suboptimal.