Iterative algorithm for interference alignment in multiuser mimo interference channels

Algorithms for designing beamforming matrices for interference alignment in multiuser time-invariant multi-input multi-output interference channels are proposed. Based on a new formulation for the necessary and sufficient condition for interference alignment, the proposed algorithm iteratively minimizes overall interference misalignment in a least squares sense. Additional modified algorithms are also considered. The convergence of the algorithm is established, and the performance is evaluated numerically. The proposed algorithms are most effective when receivers have two antennas and shows faster convergence with less complexity than the previous method with comparable sum rate performance under practical system configuration.