This paper proposes a novel relay-aided successive aligned interference cancellation (RaSAIC) method for a   $\text{2}\times K$     $X$   channel with   $L$   full-duplex relays, each of which is fully connected to the channel. The core idea of the RaSAIC is to apply a cooperative relays' precoding technique that aligns interference signals at unintended receivers while creating an Alamouti structure for the desired signals. With the proposed cooperative relay transmission technique, it is shown that both the optimal sum degree of freedom (sum-DoF) gain of   $\text{2}K/(K+\text{1})$   and the diversity gain of two are achievable for both constant and time-varying channels when the numbers of relays' antennas are enough to meet the derived conditions, without requiring channel state information (CSI) at transmitters, but with global CSI at relays. Furthermore, it is demonstrated that the same sum-DoF and diversity gain are attainable, even in the presence of interrelay interference due to a full-duplex relaying operation if the memory at the relay nodes is exploited in the proposed manner.
['Wonjae Shin', 'Namyoon Lee', 'Heecheol Yang', 'Jungwoo Lee']
Relay-Aided Successive Aligned Interference Cancellation for Wireless $X$ Networks With Full-Duplex Relays