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In this paper, the capacity region of the linear deterministic interferencechannel with noisy channel-output feedback (LD-IC-NF) is fully characterized.The proof of achievability is based on random coding arguments and ratesplitting; block-Markov superposition coding; and backward decoding. The proofof converse reuses some of the existing outer bounds and includes new onesobtained using genie-aided models. Following the insight gained from theanalysis of the LD-IC-NF, an achievability region and a converse region for thetwo-user Gaussian interference channel with noisy channel-output feedback(GIC-NF) are presented. Finally, the achievability region and the converseregion are proven to approximate the capacity region of the G-IC-NF to within4.4 bits.

Approximate Capacity Region of the Two-User Gaussian Interference Channel with Noisy Channel-Output Feedback