Abstract-This paper studies the interference channel with a cognitive relay under delayed feedback. Three types of delayed feedback are studied: delayed channel state information at the transmitter, delayed output feedback, and delayed Shannon feedback. Outer bounds are derived for the degrees of freedom (DoF) region of the two-user multiple-input multiple-output interference channel with a cognitive relay with delayed feedback as well as without feedback. For the single-input single-output scenario, optimal schemes are proposed based on retrospective interference alignment. It is shown that while a cognitive relay without feedback cannot improve the sum-DoF in the two-user singleinput single-output interference channel, delayed feedback in the same scenario can increase the sum-DoF to 4/3. For the multipleinput multiple-output case, achievable schemes are obtained via extensions of retrospective interference alignment, leading to the DoF regions that meet the respective upper bounds. Index Terms-Interference channel, cognitive relay, degrees of freedom (DoF), delayed feedback.
The degrees of freedom of interference channels with a cognitive relay under delayed feedback is considered in REF .
The Degrees of Freedom of the Interference Channel With a Cognitive Relay Under Delayed Feedback
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Mathematics Computer Science