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Simulation Study of Transmission Capacities for Overlaid Wireless Ad Hoc Networks

Transmission capacity has been defined in prior literature as an insightful metric for the transmission capability of the wireless networks. In general, it is hard to derive the analytical results for the transmission capacity without employing asymptotic analysis or bounding techniques. In this paper, we study the transmission capacity for overlaid wireless ad hoc networks by using computer simulation for the non-asymptotic case. We consider the scenario where a primary network (PR) and a secondary (SR) network coexist in the same geographic region and share the same spectrum, while the PR network has a higher priority to access the spectrum and the SR network limits its interference to the PR network by controlling its transmission intensity. We first present a simulation algorithm, then show that the simulation results conforms well to some known analytical results. We proved that with a small increment of the outage probability for the PR network, the sum transmission capacity of the overlaid network has a great gain over that of a single network. And with power control, the sum transmission capacity of the overlaid network will be improved compared to that without power control.