Analysis of connectivity in Ad Hoc network with Nakagami-m fading

Connectivity is a fundamental issue which significantly impacts the design of system protocol. Based on the point process theory, this paper presents an analytical method, establishes the connectivity model and derives the node isolation probability of Ad hoc wireless network in presence of Nakagami-m fading. In the modeling, the users are distributed according to Homogenous Poisson Point process with intensity λ. Signal-to-noise ratio(SNR) is used to measure whether a link is connected or not. It is assumed that there is an effective Mac Layer scheme, and interference is ignored. We demonstrate that the connectivity of Ad hoc network is tightly related to node density, SNR, path-loss exponent and the value of m. The closed-formula that there is no isolated node in the whole network can be finally obtained. At last, analysis and numerical results are compared and agree well.