Abstract

This work analyzes a particular achievable region for Gaussian interference channels (IFC) derived from the general Han-Kobayashi region. By reformulating the Han-Kobayashi achievable region as the sum of two sets, we characterize the maximum achievable sum-rate with Gaussian inputs and without time-sharing in closed from for any channel parameter. We then show that the computed sum-rate meets the upper bound by Kramer for any IFC with mixed interference, and not only for IFC with strong interference. We then show that for a certain subclass of IFCs with mixed interference, the capacity region contains a line segment of slope -1 of which we characterize the extreme points in term of the power allocation among private and common messages.

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