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Codebook design is a key point in beam-forming which is necessary for millimeter Wave (mmWave) communications to compensate its huge path loss. In our study, we demonstrate the benefits of the number of antenna elements for beamforming; we focus on the number of required beams to cover the whole circle with considering the available number of antenna elements. In addition to, we propose a new codebook structure based on unique phase states. Based on the Array Factor (AF) and Signalto-Noise Ratio (SNR), the proposed codebook is compared and evaluated with the uniform weighting codebook, circular array codebook, and IEEE802.15.3c standard codebook. The results show that the proposed codebook achieves SNR values and side-lobes cancel a bit better than IEEE802.15.3c, but higher peak and wider dynamic range of SNR and better array directivity compared with the uniform weighting and circular antenna codebooks. Thus, the proposed codebook is expected to improve signal quality and increases user throughput significantly.

Codebook metrics evaluation for millimeter wave communications by antenna array response and signal to noise ratio