Spectrum sharing between random geometric networks

In this paper a spectrum sharing scheme is proposed to maximize the successful transmission probability of a single-hop cognitive network coexisting with a random primary network. Both cognitive and primary networks exhibit randomness in topologies and endure imperfect wireless channel conditions. For a given primary outage probability bound, the maximum secondary transmit power is determined and then the maximum transmission capacity of the cognitive user is derived. Numerical results show that the proposed spectrum sharing scheme indeed boosts the transmission capacity of the cognitive network dramatically whilst having little performance loss of the primary network.