ink parameters. By using the Cramer Rao lower bound of angle-of-arrival estimates, the variance of beam alignment errors is obtained and a tractable array pattern approximation is proposed to better reflect the effects of such alignment errors. Utilizing stochastic geometry and the statistics of the Student's t-distribution, a novel and robust analytical technique is developed to obtain the downlink SNR and rate coverage probabilities due to beam misalignment, assuming a single antenna at the user. The results show that beam alignment errors significantly affect the achievable SNR and rate for non line-of-sight (NLOS)/distant users whereas the effect is negligible for LOS/nearby users. This dissertation additionally characterizes the variation in the load, i.e., the total number of users associated to a BS, as a function of the blockage environment in a stochastic geometric setting. The blockages affect the user-to-BS associations and the resulting association regions of the BSs in the mm-wave network. This in turn alters the load. This dissertation also investigates how the use of uplink power control for the transmission of pilot signals in a mm-wave network affects the downlink beam alignment errors. For systems with a large number of antennas at the base station (BS), downlink channel estimation is performed using uplink pilot signals. The beam alignment errors, thus, depend on the user equipment (UE) transmit power, which needs to be managed properly as the UEs are battery powered. An analytical model, which captures the interplay between the uplink power control and downlink signal-to-noise ratio (SNR) coverage probability, is developed in this work. The results indicate that using uplink power control significantly reduces UE power consumption without adversely affecting the downlink SNR coverage. The dissertation also studies the effects of mm-wave beam alignment errors on the downlink and uplink achievable rates of a heterogeneous network (HetNet), which consists of sub-6 GHz macro-cells and mm-wave small-cells. The conventional maximum biased received power criterion, where the bias is used for mm-wave small-cells, is adopted for cell associations. By varying the value of the bias factor, the changes in the downlink and uplink rate coverage probabilities are investigated.