Closed-Form Average ROC Curve Expression for Energy-Based Signal Detection in Presence of K-µ Shadowed Fading

For a generalized model of propagation channel accounting both fading and shadowing an analytic expression of the average receiver operation characteristic (AROC) was obtained and analyzed in a number of specific cases, including Rayleigh, Nakagami-m, Rice and Rice shadowed. The existence of the AROCs cross point (for aforementioned models) was demonstrated and studied depending on the average signal-to-noise ratio, fading severity and number of multipath components.