Outage probability and ergodic channel capacity of underlay device-to-device communications over \(\kappa -\mu\) shadowed fading channels

Device-to-device (D2D) communication is observed as an emerging technique to offload the traffic from base station for improving the network performance. Outage probability (OP) and ergodic channel capacity (ECC) are the key performance metrics for wireless communication system. This paper mainly focuses on deriving the expressions of OP and the ECC for underlay D2D communication operating over \(\kappa -\mu\) shadowed fading channels with arbitrary fading and shadowing parameters by utilizing stochastic geometry. The uplink radio resource of existing cellular network has been reused by D2D users. The \(\kappa -\mu\) shadowed fading is a composite channel model of multipath fading and shadowing which contains many classical fading models as special cases. The signal of interest and interfering signals both follow the distribution of \(\kappa -\mu\) fading with shadowing. The analytical expressions of OP and ECC can be expressed in terms of Appell’s function and Gauss’s hypergeometric function, which makes numerical evaluation easy. Finally, the results obtained from the analytical analysis are validated through Monte-Carlo simulations that show the good agreement.