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Codebooks based on Random Vector Quantization (RVQ) are popular in limited feedback beamforming applications over MIMO channels because of their low-complexity properties. The goal of this paper is on understanding the performance of an ensemble of RVQ codebooks as a function of the number of bits of feedback (B), antenna dimensions, and spatial correlation. Prior work on RVQ performance has focused primarily on the large B regime: in either the MISO case (both i.i.d. as well as correlated channels) and the MIMO case (i.i.d. channels). In this paper, the authors develop a unified framework tailored to the case of correlated MIMO channels and arbitrary choice of B.
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