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The number of radio frequency (RF) chains can be reduced through beamselection in lens-based millimeter-wave (mmWave) massive MIMO systems, wherethe equivalent channel between RF chains and multiple users is required at theBS to achieve the multi-user multiplexing gain. However, to the best of ourknowledge, there is no dedicated codebook for the equivalent channel feedbackin such systems. In this paper, we propose the dimension-reduced subspacecodebook, which achieves a significant reduction of the feedback overhead andcodebook size. Specifically, we firstly utilize the limited scattering propertyof mmWave channels to generate the high-dimensional vectors in the channelsubspace. Then, according to the function of lens and beam selector, we proposethe dimension-reduced subspace codebook to quantize the equivalent channelvector.Moreover, the performance analysis of the proposed codebook is alsoprovided.Finally, simulation results show the superior performance of theproposed dimension-reduced subspace codebook compared with conventionalcodebooks.

Codebook Design for Channel Feedback in Lens-Based Millimeter-Wave Massive MIMO Systems