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The Degrees of Freedom of the Interference Channel With a Cognitive Relay Under Delayed Feedback

机译：延迟反馈下具有认知中继的干扰信道的自由度

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摘要

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 single-input single-output interference channel, delayed feedback in the same scenario can increase the sum-DoF to 4/3 . For the multiple-input multiple-output case, achievable schemes are obtained via extensions of retrospective interference alignment, leading to the DoF regions that meet the respective upper bounds.
机译：本文研究了具有认知中继的延迟反馈下的干扰信道。研究了三种类型的延迟反馈：发送器处的延迟信道状态信息，延迟输出反馈和延迟Shannon反馈。对于具有延迟反馈以及没有反馈的认知中继的两用户多输入多输出干扰信道的自由度（DoF）区域，导出了边界。对于单输入单输出场景，提出了基于追溯干扰对准的最优方案。结果表明，虽然没有反馈的认知中继不能改善两用户单输入单输出干扰信道中的总和自由度，但在相同情况下的延迟反馈可以将总和自由度增加到4/3。对于多输入多输出的情况，可通过追溯干涉对准的扩展获得可实现的方案，从而导致DoF区域满足各自的上限。

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