Improvement of the Han-Kobayashi Rate Region for General Interference Channel

TL;DR

This paper enhances the Han-Kobayashi rate region for general interference channels by incorporating correlated auxiliary variables and binning, resulting in a larger, more interpretable achievable rate region that includes previous regions as special cases.

Contribution

It introduces a new achievable rate region that generalizes and improves upon the Han-Kobayashi and Chong-Motani-Garg regions by allowing input correlation and binning.

Findings

The new region encompasses the HK and CMG regions.

It includes two additional terms due to correlation and binning.

The region offers a more comprehensive characterization of achievable rates.

Abstract

Allowing the input auxiliary random variables to be correlated and using the binning scheme, the Han- Kobayashi (HK) rate region for general interference channel is improved. The obtained new achievable rate region (i) is shown to encompass the HK region and its simplified description, i.e., Chong-Motani-Garg (CMG) region,considering a detailed and favorable comparison between different versions of the regions, and (ii) has an interesting and easy interpretation: as expected, any rate in our region has generally two additional terms in comparison with the HK region (one due to the input correlation and the other as a result of the binning scheme).