This paper presents a novel stochastic geometry approach to the connectivityof milimeter wave (mmWave) networks with multi-hop relaying. The randompositions and shapes of obstacles in the radio environment are modeled as aBoolean model, whose germs are distributed according to a Poisson point processand grains are random rectangles. The derived analytical results shed light onhow the connectivity of mmWave networks depends on key system parameters suchas the density and size of obstacles as well as relaying route window -- therange of distances in which routing relays are selected. We find that multi-hoprelaying can greatly improve the connectivity versus single hop mmWavetransmission. We show that to obtain near-optimal connectivity the relayingroute window should be about the size of the obstacles.
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