The rapid growth of traffic data will encounter future wireless communication. Unfortunately, the microwave spectrum cannot meet such rapid development. While Millimeter-wave (mm-wave) band can support the rapid growth of traffic owing to such band offers the enormous available bandwidth and multi-gigabit-per-second (Gbps) data rates. Therefore, a hybrid Beamforming solution (HBF) is a promising approach that exploits the small matrix digital precoding and the high matrix analog beamforming. This study addresses the question of how to effectively design and simulation of a low complexity hybrid precoding. It achieves near-fully digital precoding performance based on the hybrid minimum mean square error (MMSE) criterion and extraction of the angle phase for the analog beamforming as well as the Kalman precoding for the digital precoding. Thus, the results indicate that the proposed hybrid precoding has the best performance than the ZF hybrid precoding, the MMSE hybrid precoding, and the Kalman hybrid precoding in terms of computational complexity and spectral efficiency. The proposed solution achieves almost 2.257 bps/Hz, at 20 dB with 3 number of paths and 3 number of scattering clusters compared to the Kalman precoding, almost 2.704 bps/Hz related to the MMSE precoding, and 2.95 bps/Hz compared to the Zero Forcing (ZF) under the same conditions. On the other hand, proposed precoding harvests 8.554 bps/Hz related to the analog beamforming while -1.178 bps/Hz concerning the full digital precoding that is considered as an optimal value. This research has thrown up many questions in need of further investigation.