Performance Analysis of Random Access Mechanism in 5G Millimeter Wave Networks: Effect of Blockage, Shadowing and Mobility

5G NR has gained importance in academic and industrial research communities in recent times as its millimetre wave (mmWave) band operations offer a promising alternative for next-generation wireless communications. However, the susceptibility of mmWave signals to severe path loss and shadowing requires the use of highly directional antennas. Since the narrow beams are vulnerable to blockages, the interference behaviour becomes the key factor in building the network. In this paper, we propose a blockage model by considering the distribution of buildings in the cell as a Poisson point process. We analytically derive the blockage probability using the queuing theory. Subsequently, we derive the interference statistics using the blockage model considering the spatial randomness of the locations of blockages and User Equipments (UEs). We define and derive the coverage probability of a UE depending on the interference statistics. We calculate the success probability of a preamble transmission of a UE subjected its coverage. The effect of mobility on blockage, coverage and preamble success probability has been presented through extensive simulations.