Analysis of Cooperative HARQ with Poisson Interference and Opportunistic Routing

In this paper, we do a performance analysis of the cooperative HARQ protocol in a wireless adhoc multihop network employing spatial ALOHA. We model the nodes in such a network by a homogeneous 2-D Poisson point process. We study the tradeoff between the transport capacity submetrics inherent in the network by optimizing the transport capacity w.r.t the network design parameters, HARQ coding rate and medium access probability. Using stochastic geometirc approximations, we obtain an analytic expression for the expected progress of opportunistic routing and optimize the capacity approximation by convex optimization. By way of numerical results, we show that the network design parameters obtained by optimizing the analytic approximation of transport capacity closely follows that of Monte Carlo based exact transport capacity optimization. As a result of the analysis, we argue that the optimal HARQ coding rate and medium access probability are independent of the node density in the network.