With the explosive growth in demand for mobile data
traffic, the contradiction between capacity requirements and
spectrum scarcity becomes more and more prominent. The
bandwidth is becoming a key issue in 5G mobile networks.
However, with the huge bandwidth from 30 GHz to 300 GHz,
mmWave communications considered an important part of the 5G
mobile network providing multi communication services, where
channel state information considers a challenging task for
millimeter wave MIMO systems due to the huge number of
antennas. Therefore, this paper discusses the channel and signal
models of the mmWave, with a novel formulation for mmWave
channel estimation inclusive low rank features, that we improved
using a developed theory of matrix completion with Alternating
Direction Method.