I. Introduction
Beamforming networks have the ability to regulate the spatial electromagnetic signal coverage of array antennas. According to different application scenarios, beamforming networks include digital beamforming (DBF), analog beamforming (ABF), and hybrid beamforming (HBF). Among them, the HBF network divides the entire network into low-dimensional DBF and high-dimensional ABF, breaking the one-to-one correspondence between RF channels and antenna units while reducing the number of RF channels and ensuring system performance [1]. Therefore, HBF is a key research direction for large-scale antenna array applications [2], which are indispensable in phased array radar, the Internet of Vehicles [3], the Internet of Things, satellite communication [4], and mobile communication systems.