  In this paper, we analyse the performance of physical layer security over
Fluctuating Beckmann (FB) fading channel which is an extended model of both the
$\kappa-\mu$ shadowed and the classical Beckmann distributions. Specifically,
the average secrecy capacity (ASC), secure outage probability (SOP), the lower
bound of SOP (SOP$^L$), and the probability of strictly positive secrecy
capacity (SPSC) are derived in exact closed-form expressions using two
different values of the fading parameters, namely, $m$ and $\mu$ which
represent the multipath and shadowing severity impacts, respectively. Firstly,
when the fading parameters are arbitrary values, the performance metrics are
derived in exact closed-form in terms of the extended generalised bivariate
Fox's $H$-function (EGBFHF) that has been widely implemented in the open
literature. In the second case, to obtain simple mathematically tractable
expressions in terms of analytic functions as well as to gain more insight on
the behaviour of the physical layer security over Fluctuating Beckmann fading
channel models, $m$ and $\mu$ are assumed to be integer and even numbers,
respectively. The numerical results of this analysis are verified via Monte
Carlo simulations.
