Secrecy outage analysis of cognitive radio networks with power control

We examine the upper and lower bound of the secrecy outage probability of primary links in cognitive wireless sensor networks employing power control scheme. The power control law is adopted in order to govern the transmission power of a cognitive radio node and there by limit interference incurred to the neighboring cognitive radio user. An accurate expressions for the probability density function of the aggregate interference with fading and shadowing is also derived. It is shown that the secrecy outage bounds will become tight as the equivocation rate increases and when the density of the eavesdroppers decrease. Moreover, it is found that the presence of fading has a little impact on secrecy outage. The expressions derived can also be further used to obtain other analytical results such as secrecy rate and secrecy transmission capacity.