Antenna Configurations for MIMO Interference Alignment in Three-User Heterogeneous Systems

Recently, heterogeneous network (HetNet) has been introduced as an appropriate strategy to cope with the explosive growth of wireless traffic. To address the issue of severe interference in the HetNet, we can consider interference alignment (IA) which achieves the maximum degrees of freedom (DOF) in multiple-input multipleoutput (MIMO) interference channels (IC). However, an anticipated performance of the MIMO IA should be clarified first especially with different numbers of antennas across the nodes in order to design an appropriate system. In this paper, we thus study general antenna configurations of the MIMO IA with respect to the intended data stream tuple, i.e., DOF. By deriving the dimension of the subspace occupied by interference in the signal space of the MIMO IA, the suitable numbers of antennas are computed depending on the transmitted data stream numbers. Our obtained results provide an insight on how the performance of the MIMO IA is affected as the system configurations change. Furthermore, we discuss how to maximize the performance of such systems when the numbers of antennas are finite. The actual simulations with an iterative IA confirm the validity of our derived results.