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Spectrum sharing between wireless networks improves the efficiency ofspectrum usage, and thereby alleviates spectrum scarcity due to growing demandsfor wireless broadband access. To improve the usual underutilization of thecellular uplink spectrum, this paper studies spectrum sharing between acellular uplink and a mobile ad hoc networks. These networks access either allfrequency sub-channels or their disjoint sub-sets, called spectrum underlay andspectrum overlay, respectively. Given these spectrum sharing methods, thecapacity trade-off between the coexisting networks is analyzed based on thetransmission capacity of a network with Poisson distributed transmitters. Thismetric is defined as the maximum density of transmitters subject to an outageconstraint for a given signal-to-interference ratio (SIR). Using tools fromstochastic geometry, the transmission-capacity trade-off between the coexistingnetworks is analyzed, where both spectrum overlay and underlay as well assuccessive interference cancelation (SIC) are considered. In particular, forsmall target outage probability, the transmission capacities of the coexistingnetworks are proved to satisfy a linear equation, whose coefficients depend onthe spectrum sharing method and whether SIC is applied. This linear equationshows that spectrum overlay is more efficient than spectrum underlay.Furthermore, this result also provides insight into the effects of differentnetwork parameters on transmission capacities, including link diversity gains,transmission distances, and the base station density. In particular, SIC isshown to increase transmission capacities of both coexisting networks by alinear factor, which depends on the interference-power threshold for qualifyingcanceled interferers.

Spectrum Sharing Between Cellular and Mobile Ad Hoc Networks: Transmission-Capacity Trade-Off