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Cognitive Radio Networks (CRNs) are envisioned to eradicate the artificial scarcity caused by today's stringent spectrum allocation policy. In this paper, the authors develop a statistical framework to model the outage probability at any arbitrary primary/licensed user, while operating in the presence of a collocated secondary network/CRN. A system model based on stochastic geometry (utilizing the theory of a Poisson point process) is introduced to model the transmission/reception/detection uncertainty due to the random locations and topology of both primary and secondary users. The primary beacon enabled interweave spectrum sharing model is utilized for evaluating outage and interference at a typical primary receiver.
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