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This paper proposes a codebook for jointly quantizing channel directioninformation (CDI) of spatially correlated three-dimensional (3D)multi-input-multi-output (MIMO) channels. To reduce the dimension forquantizing the CDI of large antenna arrays, we introduce a special structure tothe codewords by using Tucker decomposition to exploit the unique features of3D MIMO channels. Specifically, the codeword consists of four parts each withlow dimension individually targeting at a different type of information:statistical CDIs in horizontal direction and in vertical direction, statisticalpower coupling, and instantaneous CDI. The proposed codebook avoids theredundancy led by existing independent CDI quantization. Analytical resultsprovide a sufficient condition on 3D MIMO channels to show that the proposedcodebook can achieve the same quantization performance as the well-knownrotated codebook applied to the global channel CDI, but with significantreduction in the required statistical channel information. Simulation resultsvalidate our analysis and demonstrate that the proposed joint CDI quantizationprovides substantial performance gain over independent CDI quantization.

Joint Channel Direction Information Quantization For Spatially Correlated 3D MIMO Channels