Interference Alignment Schemes Using Latin Square for K $\times$ 3 MIMO X Channel

In this paper, we study an interference alignment (IA) scheme with finite time extension and beamformer selection method with low computational complexity for X channel. An IA scheme with a chain structure by the Latin square is proposed for
$K \times 3$
multiple-input multiple-output X channel. Since the proposed scheme can have a larger set of possible beamformers than the conventional schemes, its performance is improved by efficient beamformer selection for a given channel realization. Also, we propose a condition number-based beamformer selection method with low computational complexity and its performance improvement is numerically verified.