On linear deterministic interference channels with partial feedback

We consider the linear deterministic interference channel with partial feedback, in which a given number of the top most-significant-bits of the channel outputs of the receivers are fed back to the respective transmitters. The motivation for studying this channel is that it can approximate the Gaussian interference channel with noisy feedback, i.e., additive white Gaussian noise corrupted output feedback. We show that even when the feedback link is noisy, feedback still can help the system to have a larger sum-capacity by allowing users to cooperate and to manage interference better than the case without feedback. We also compare the partial feedback model to other models, including noiseless rate-limited feedback.