Propagation modeling in large-scale cooperative multi-hop Ad hoc networks

In this paper, a strip-shaped multi-hop ad hoc network is analyzed using a spatial Poisson point process (PPP) and stochastic geometry. The decode-and-forwardprotocol is considered for transmission over the multi-hop network where cooperative communications is employed at each hop. An analytical expression for the probability density function of the received power at an arbitrary node is derived, given a set of nodes transmits in the previous hop, which is further used to characterize the coverage performance of the network. The received power at a node becomes a doubly stochastic process owing to random path loss and a Rayleigh fading channel. The notions of one-hop success probability and coverage range are analyzed for various network parameters. An algorithm for conserving energy is also proposed by considering PPP thinning and its performance in terms of the fraction of energy saved is quantified. It is shown that the proposed algorithm is more energy efficient as compared with an independent thinning algorithm.