  The downlink coverage probability of a cellular network, when the base
station locations are modelled by a Poisson point process (PPP), is known when
the desired channel is Nakagami distributed with an integer shape parameter.
However, for many interesting fading distributions such as Rician, Rician
shadowing, $\kappa$-$\mu$, $\eta$-$\mu$, etc., the coverage probability is
unknown. $\kappa$-$\mu$ shadowed fading is a generic fading distribution whose
special cases are many of these popular distributions known so far. In this
letter, we derive the coverage probability when the desired channel experiences
$\kappa$-$\mu$ shadowed fading. Using numerical simulations, we verify our
analytical expressions.
