Transmission capacity for overlaid wireless networks: A homogeneous primary network versus an inhomogeneous secondary network

We study the transmission capacity of two overlaid wireless ad hoc networks, where a primary network and a secondary network operate in the same geographic region and share the same spectrum. The primary network has a high priority to access the spectrum and is oblivious of the presence of the secondary network while the secondary network limits its interference to the primary network by controlling the density of its transmitters. Assuming the primary transmitter nodes are distributed as a Poisson point process and the secondary transmitter nodes are distributed as a Matern cluster process, we present an upper and a lower bounds for the transmission capacity of the primary network and that of the secondary network. Numerical results show that the transmission capacity of the primary network and that of the secondary network have a small increment due to the inhomogeneity of the secondary network.