Dynamic Programming-Based Beam Codebook Design for mmWave Multi-antenna Module in Mobile Devices

Beam codebook design is essential for enhancing the signal spherical coverage of multi-antenna module in mobile mmWave devices. Meanwhile, power consumption of the antenna module poses a significant challenge for 5G/B5G mobile devices. Therefore, the trade-off between power saving and degradation in spherical coverage gain should be simultaneously considered in the beam codebook design. In this paper, a dynamic programming (DP)-based algorithm is proposed to address this issue by hybridizing the full-chain and sub-chain codebooks in two schemes. The first scheme aims to minimize the degradation in the spherical coverage gain under a specific power saving ratio, while the second focuses on improving the power saving ratio given the level of degradation in the spherical coverage gain. The optimal beam codebooks thus obtained that the proposed DP-based algorithm achieves over 10% more power saving and less degradation in coverage gain, respectively, in the two schemes compared to the sub-chain codebook. Moreover, the proposed DP-based algorithm can adapt to different coverage gain metrics by simply modifying the utility function in the optimization design.