A poisson point process model for coverage analysis of multi-hop cooperative networks

A spatial Poisson point process model for a multihop cooperative network with fixed hop boundaries and random number of the nodes in each hop is developed and analyzed. Transmissions over multi-hop network follow a decode-and-forward (DF) protocol that form Opportunistic Large Array (OLA). The probability density function (PDF) of the received power at a node is derived, when all the DF nodes in the previous level transmit with the same power in the presence of Rayleigh fading and path loss. The performance of the system is characterized in terms of one-hop success probability, which is calculated using the PDF of the received power at a node. The coverage range of the multi-hop network is analyzed for different set of network parameters.