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This paper investigates the issue of connectivity of a wireless adhoc networkin the presence of channel impairments. We derive analytical expressions forthe node isolation probability in an adhoc network in the presence ofNakagami-m fading with superimposed lognormal shadowing. The node isolationprobability is the probability that a randomly chosen node is not able tocommunicate with none of the other nodes in the network. An extensiveinvestigation into the impact of path loss exponent, lognormal shadowing,Nakagami fading severity index, node density, and diversity order on the nodeisolation probability is conducted. The presented results are beneficial forthe practical design of ad hoc networks.

Node Isolation Probability of Wireless Adhoc Networks in Nagakami Fading Channel