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For a K-user interference channel, the degree of freedom (DoF) which can beachieved through interference alignment (IA) is constrained to signal spacedimension governed by the number of Tx/Rx antennas. To overcome this problem,IA can be combined with interference cancellation (IC), involving a newreceiver architecture associated with signaling over backhaul links among thedifferent users, as another interference mitigation scheme which is referred toas interference alignment and cancellation (IAC). In our earlier work, byproposing an IAC graph, we have derived the necessary and sufficient conditionsfor the existence of closed-form solutions for IAC subject to the given DoFrequirement for individual user. Furthermore, we have also shown that it canachieve the theoretically maximum possible DoF, which is 2M for MIMO systemwith M Tx/Rx antennas. Following our previous works on IAC, we aim toinvestigate the design criteria to obtain such closed-form transceivers whenthey exist. We first develop a general closed-form IAC transceiver design forany given DoF requirement of individual user and then, we specify how theoptimal IAC transceiver can be designed to achieve the theoretically maximumDoF of 2M, beating the performance of conventional IA with much lesscomputational complexity.

A Closed-form Transceiver Design for Interference Alignment and Cancellation (IAC) in MIMO Interference Channel