Aspects of mmWave beam tracking and beam sweeping are described, for example, spatial searching operations, directional beam forming, complex channel measurement operations, and adaptive power savings. Some aspects include using priori information for mmWave beam tracking and beam sweeping. Some aspects include using priori information to modify a superset of beam criteria to obtain a subset of beam criteria, select a spatial region according to the subset of beam criteria, and initiate a spatial searching operation within the spatial region for establishing a communication link. Some aspects include obtaining complex channel measurements of beams and combining the measurements with priori information to determine a beam for use in a communication link. Some aspects include providing signals from Nr over K1 input/output (IO) links and receiving signals over K1 IO links, and combining signals received over the K1 IO links, using a compression matrix, to generate signals over K IO links.