Shannon Capacity for a Simple Communication Channel Model in Dense MANETs

Capacity computation for mobile ad hoc networks (MANETs) for a simple communication channel model, which considers Euclidean distance and path loss, is described in this paper and compared with Monte-Carlo simulations up to one million nodes. We show that, depending on the path loss parameter (a), the average signal to noise and interference ratio (SNIR) and consequently the Shannon capacity either remain constant, or decay, when the number of interferers scales to infinity in the network, for nodes communicating with their close neighbors. Accordingly, for this model, we observe that communication is feasible in dense ad hoc networks as long as alpha > 2 and a node attempts to transmit to other nodes located close so that interference can be overcome.