Outage analysis of a millimeter wave triple-hop configuration with arbitrary position of the relay nodes

Modern wireless mesh networks are used to connect users with an existing core network creating multi-hop transmissions. Since these networks require large bandwidth to support increased data rates, the employment of frequencies above 10 GHz is desirable. At these frequency bands, rain attenuation is the dominant fading mechanism exhibiting spatial inhomogeneity. In this paper, the outage performance analysis of a triple-hop system with regenerative relays is derived using the trivariate lognormal distribution considering spatially correlated rain fading channels. Extended numerical results investigate the impact of various operational and geographical parameters, as well as the impact of the arbitrary position of the relays on the system performance.