Sum-capacity of ergodic fading interference and compound multiaccess channels

The problem of resource allocation is studied for two-sender two-receiver fading Gaussian interference channels (IPCs) and compound multiaccess channels (C-MACs). The senders in an IFC communicate with their own receiver (unicast) while those in a C-MAC communicate with both receivers (multicast). The instantaneous fading state between every transmit- receive pair in this network is assumed to be known at all transmitters and receivers. Under an average power constraint at each source, the sum-capacity of the C-MAC and the power policy that achieves this capacity is developed. The conditions defining the classes of strong and very strong ergodic IPCs are presented and the multicast sum-capacity is shown to be tight for both classes.