Modelling and Performance Analysis of Energy Detector Over Weibull–Shadowed Fading Channel with Application to Cooperative Sensing

In this work, we investigate and analyse the performance of the energy detector over Weibull–Shadowed composite fading channel. To this end, we have derived the novel expressions for the probability of detection (PD) and the average area under the receiver operating characteristic curve (AUC). Furthermore, the asymptotic analysis of such performance metrics has been carried out and the simpler and closed-form expressions of the PD and the average AUC have been proposed with maximal ratio combining, equal gain combining, and selection combining diversity schemes. Finally, the derived results have been applied to cooperative system considering erroneous channel between secondary users and a fusion center. The derived expressions are valid for both integer and non-integer values of the multipath and shadowing parameters. The derived analytical results are corroborated by both exact numerical results and Monte-Carlo simulations, and it is shown that the performance of cooperative system not only depends on the parameters of composite fading distribution but also on the erroneous feed-back channel.