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This correspondence proposes a new rotated codebook for three-dimensional(3D) multi-input-multi-output (MIMO) system under spatially correlated channel.To avoid the problem of high dimensionality led by large antenna array, therotation matrix in the rotated codebook is proposed to be decomposed by Tuckerdecomposition into three lowdimensional units, i.e., statistical channeldirection information in horizontal and vertical directions respectively, andstatistical channel power in the joint horizontal and vertical direction. Aclosed-form suboptimal solution is provided to reduce the computationalcomplexity in Tucker decomposition. The proposed codebook has a significantdimension reduction from conventional rotated codebooks, and is applicable for3D MIMO system with arbitrary form of antenna array. Simulation resultsdemonstrate that the proposed codebook works very well for various 3D MIMOsystems.

Tucker Decomposition For Rotated Codebook in 3D MIMO System Under Spatially Correlated Channel