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In this paper (a) after detailed investigation of the previous equivalentrate regions for general interference channel, i.e., the Han-Kobayashi (HK) andthe Chong-Motani-Garg (CMG) regions, we define modified CMG region theequivalency of which with the HK region is readily seen; (b) we make two novelchanges in the HK coding. First, we allow the input auxiliary random variablesto be correlated and, second, exploit the powerful technique of random binninginstead of the HK -CMG superposition coding, thereby establishing a new rateregion for general interference channel, as an improved version of the HKregion; (c) we make a novel change in the CMG coding by allowing the messagevariables to be correlated and obtain an equivalent form for our new region in(b), as an improved version of the CMG region. Then, (d) in order to exactlydemarcate the regions, by considering their different easily comparableversions, we compare our region to the HK and CMG regions. Specifically, usinga simple dependency structure for the correlated auxiliary random variables,based on the Wyner and Gacs-Korner common information between dependentvariables, we show that the HK and the CMG regions are special cases of our newregion. Keywords. Interference channel, Correlated auxiliary random variables,Common information, Superposition coding, Binning scheme

A New Rate Region for General Interference Channel (Improved HK Region)