Capacity of Symmetric K-User Gaussian Very Strong Interference Channels

TL;DR

This paper characterizes the conditions under which a symmetric K-user Gaussian interference channel operates in a 'very strong' interference regime, where interference can be perfectly canceled without rate loss, matching the no-interference capacity.

Contribution

It derives the 'very strong' interference conditions for symmetric K-user Gaussian channels and extends the concept to a deterministic interference channel example.

Findings

Identifies the 'very strong' interference regime for symmetric K-user Gaussian channels.

Shows interference can be canceled without rate penalty in this regime.

Provides a 'very strong' interference condition for a deterministic interference channel.

Abstract

This paper studies a symmetric K user Gaussian interference channel with K transmitters and K receivers. A "very strong" interference regime is derived for this channel setup. A "very strong" interference regime is one where the capacity region of the interference channel is the same as the capacity region of the channel with no interference. In this regime, the interference can be perfectly canceled by all the receivers without incurring any rate penalties. A "very strong" interference condition for an example symmetric K user deterministic interference channel is also presented.