An achievable rate region for Gaussian interference channel with intermittent feedback

We consider the two-user Gaussian interference channel with intermittent channel output feedback. We derive an achievable rate region that corresponds to the capacity region of the linear deterministic version of the problem. The result shows that passive and unreliable feedback can be harnessed to provide multiplicative capacity gain in Gaussian interference channels. In contrast to other schemes developed for interference channel with feedback, our achievable scheme makes use of quantize-map-and-forward to relay the information obtained through feedback, performs forward decoding, and does not use structured codes. We find that when the feedback links are active with sufficiently large probabilities, the perfect feedback sum-capacity is achieved to within a constant gap.