Interference Alignment for Multi-User Multi-Way Relaying X Networks

In this paper, we consider a multi-way relaying channel where 2K users are divided into two groups averagely and each of them exchanges messages with every user of the other group via an intermediate relay. We term it multi-user multi-way relaying X network. We design the beamforming vectors at the users and the relay to achieve an interference alignment (IA) solution. Meanwhile, we investigate the feasibility conditions on the required amount of antennas for each node. Brief theoretical analysis and numerical simulations have been provided to demonstrate that the degrees of freedom (DOF) of 2K² is obtained.