The K-user interference channel: Strong interference regime

This paper presents a solution for one of the open problems in network information theory: “What is the generalization of the strong interference regime to the K-user interference channel?” A new approach is developed based on which one can obtain strong interference regimes not only for the multi-user interference channels but also for other interference networks with any arbitrary topology. To this development, some new lemmas are proved which have a central role in our derivations. As a result, this paper establishes the first non-trivial capacity result for the general multi-user classical interference channel (for both discrete and Gaussian channels).