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Multiple Cognitive Radio (CR) networks may exist in the same spatial domain in many cases. In this paper, the authors consider two uncoordinated and geographically overlapping CR networks coexisting together with a primary network. They specifically study the achievable per-node throughput performance of the CR networks. Firstly, an interference model is specified which models the situation. By using this model they derive the per-node throughput for overlapping CR networks. Furthermore, the upper bound for the probability of false alarm, which is required to achieve a certain throughput, is deduced. The results of this paper illustrate how the different CR network parameters, such as network density, transmission probability, and sensing performance, affect the achievable per-node throughput in overlapping CR networks.
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