This paper analyzes the performance of a full-duplex decode-and-forward relaying network over the generalized κ-μ fading channel. The relay is energy-constrained and relies entirely on harvesting the power signal transmitted by the source based on the time-switching relaying protocol. A unified analytical expression for the ergodic outage probability is derived for the system under consideration. This is then used to derive closed-form analytical expressions for three special cases of the κ-μ fading model, namely, Rice, Nakagami-m and Rayleigh. Monte Carlo simulations are provided throughout to validate our analysis.