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Millimeter-wave systems are characterized by the use of highly directionalantennas and the presence of blockages, which significantly alter the path-lossand small-scale fading parameters. The received power of each interfererdepends on the direction it points and whether it is line-of-sight (LOS),non-LOS (i.e., partially blocked), or completely blocked. While interferersthat are sufficiently far away will almost certainly be completely blocked, afinite number of interferers in close proximity will be subject to randompartial blockages. Previous attempts to characterize mmWave networks have madethe simplifying assumption that all interferers within some radius, called theLOS ball, are unblocked, while interferers beyond that radius are non-LOS.However, compared to simulation results, the LOS ball assumption tends tooverestimate outage. In this paper, we present an accurate yet tractableanalysis of finite mmWave networks that dispenses with the LOS ball assumption.In the analysis, each interferer has a distribution that is selected randomlyfrom several possibilities, each representing different blockage anddirectivity states. First, the exact outage probability is found for a finitenetwork with interferers in fixed locations. Then, the spatially averagedoutage probability is found by averaging over the interferer locations. Whilethe focus is on device-to-device networks, the analysis is general enough tofind applications outside of the present mmWave framework.

Accurately Accounting for Random Blockage in Device-to-Device mmWave Networks