Motivated by a simple broadcast channel, we generalize the notions of a  less noisy  receiver and a  more capable  receiver to an  essentially less noisy receiver  and an  essentially more capable  receiver, respectively. We establish the capacity regions of these classes by borrowing on existing techniques; however, these new classes contain additional interesting classes of broadcast channels, including the BSC/BEC broadcast channel. We also establish the relationships between the new classes and the existing classes.
['Chandra Nair']
Capacity Regions of Two New Classes of Two-Receiver Broadcast Channels