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In this paper, we study an interference alignment (IA) scheme with finitetime extension and beamformer selection method with low computationalcomplexity for X channel. An IA scheme with a chain structure by the Latinsquare is proposed for Kx3 multiple-input multiple-output (MIMO) X channel.Since the proposed scheme can have a larger set of possible beamformers thanthe conventional schemes, its performance is improved by the efficientbeamformer selection for a given channel. Also, we propose a condition number(CN) based beamformer selection method with low computational complexity andits performance improvement is numerically verified.

Interference Alignment Schemes Using Latin Square for Kx3 MIMO X Channel