The document discusses design and analysis for millimeter wave networks using antenna arrays. It proposes two sophisticated antenna patterns to approximate actual antenna patterns for analyzing millimeter wave (mmWave) communications between 28-300GHz, which is a promising technology for 5G networks. The document also presents models for mmWave networks and channels, analog beamforming, and antenna patterns to derive new tractable expressions for coverage probabilities in mmWave ad hoc and cellular networks.