The Capacity Region of a Class of Interference Channels

The capacity region of a class of discrete memoryless interference channels is established. The setup is similar to the class of deterministic interference channels studied by El Gamal and Costa. However, we relax certain conditions that were imposed by El Gamal and Costa. The capacity region of this class of interference channels also includes the capacity region of the discrete memoryless interference channels with strong interference. Finally, we extend the result to the case where both transmitters have a common message to transmit.