Low Complexity Interference Alignment Algorithms for Desired Signal Power Maximization Problem of MIMO Channels
In this paper, the authors investigate the Interference Alignment (IA) solution for a K-user MIMO interference channel. Proper users' precoders and decoders are designed through a desired signal power maximization model with IA conditions as constraints, which forms a complex matrix optimization problem. They propose two low complexity algorithms, both of which apply the Courant penalty function technique to combine the leakage interference and the desired signal power together as the new objective function. The first proposed algorithm is the Modified Alternating Minimization Algorithm (MAMA), where each subproblem has closed-form solution with an eigenvalue decomposition. To further reduce algorithm complexity, they propose a hybrid algorithm which consists of two parts.