A stochastic geometry approach for analysing secrecy rate of multi-power level CRNs

In this paper, motivated by recent developments in physical layer (PHY) security, we study the achievable secrecy rate of a multi-power level cognitive radio network (CRN) based on stochastic geometry distribution. We consider a realistic transmission scheme with multiple levels of transmission power. Additionally, having multi-level power strategy can help improve security as eavesdroppers will find it more difficult to recognize the exact power level of the legitimate users. We derive the achievable secrecy rate in an additive white Gaussian noise channel for a cognitive radio model. Furthermore, the cumulative distribution function of the achievable secrecy rate between the primary transmitter and receiver is studied. Finally, we investigate the outage probability of secrecy capacity of the legitimate user from a secure communication graph point of view.