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Millimeter-wave (mmWave) massive multiple-input multiple-output (MIMO) systems have attracted much attention from both researchers and industry professionals, as they are seen as a suitable solution to the growing demand for cellular services in fifth-generation (5G) and sixth-generation (6G) wireless communication systems. In mmWave MIMO systems, iterative hybrid precoding/combining algorithms, which use a combination of analog and digital precoders, have gained significant interest because they perform comparably to fully digital precoding/combining while operating at reduced complexity due to a lower number of radio frequency (RF) components. However, the problem with these algorithms is that their convergence requires a substantial number of iterations. This paper solves this problem and introduces a fast convergence iterative hybrid precoding/combining algorithm using momentum and Newton&#x2019;s method (FIHB-MN) for mmWave MIMO systems. Simulation results demonstrate the faster convergence of the algorithm&#x2019;s objective function compared to other iterative methods in the literature. Moreover, FIHB-MN provides performance similar to unconstrained digital precoding and combining with only a few iterations. The simulation results also confirm that the spectral efficiency as well as the bit error rate (BER) performances of the proposed FIHB-MN algorithm outperforms other hybrid beamforming methods in the literature, all while maintaining low computational complexity.

Fast Iterative Hybrid Precoding and Combining with Momentum Gradient Descent and Newton’s Method for Millimeter Wave MIMO Systems