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In this paper, the authors investigate secrecy capacity of a Cognitive Radio network based on stochastic geometry distributions. They consider the Poisson process of both the secondary users and the eavesdroppers, and analyze how the stochastic interference from the secondary users can influence the secrecy capacity of the primary users. First, they describe a network model with Primary Users, Secondary Users and eavesdroppers in a Cognitive Radio communication network environment, and derive the expression of secrecy capacity in an additive white Gaussian noise channel. Then, they study the outage probability of secrecy capacity of a primary node from a secure communication graph point of view.
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