Improvement of the Han-Kobayashi Rate Region for General Interference Channel-v2

TL;DR

This paper enhances the Han-Kobayashi rate region for the general interference channel by incorporating correlated inputs and binning, leading to a partially improved achievable rate region with clearer interpretation.

Contribution

It introduces a new achievable rate region that allows input correlation and binning, providing a partial improvement over existing regions like HK and CMG.

Findings

The new region includes two additional terms compared to HK.

The improved region offers a more favorable comparison to existing regions.

The interpretation of the new terms relates to input correlation and binning effects.

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 partially improved. The obtained partially new achievable rate region (i) is compared to the HK region and its simplified description, i.e., Chong-Motani-Garg (CMG) region, in a detailed and favorable manner, by considering 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). Keywords. Interference channel, Input correlation, Binning scheme