Sum-Capacity of Ergodic Fading Interference and Compound Multiaccess Channels

TL;DR

This paper derives the sum-capacity and optimal power policies for ergodic fading interference and compound multiaccess channels, providing tight bounds for strong and very strong interference regimes.

Contribution

It introduces the sum-capacity and power policies for ergodic fading IFCs and C-MACs, and characterizes strong interference classes with tight capacity bounds.

Findings

Sum-capacity formulas for C-MACs and IFCs.

Optimal power policies under average power constraints.

Tight capacity bounds for strong and very strong interference.

Abstract

The problem of resource allocation is studied for two-sender two-receiver fading Gaussian interference channels (IFCs) 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 IFCs are presented and the multicast sum-capacity is shown to be tight for both classes.