Equivalence of Two Types of Knife-Edge Diffraction Models to Predict Shadowing Effect

The knife-edge diffraction (KED) model has been widely used to predict the shadowing effect. In addition to the classical Fresnel KED model using the Fresnel integral, in recent years an alternative expression proposed by mobile and wireless communications enablers for the twenty-twenty information society (METIS), i.e., METIS KED model, has also been used. This letter proposes a mathematical derivation to rigorously prove that the METIS KED model can be seen as an approximated envelope of the Fresnel KED model. Simulated results agree with the proposal that the METIS KED model is identical to the Fresenl KED model with a low error of 0.19 dB in the shadowed region, and the METIS KED model can be seen as an approximated envelope of the Fresnel KED model with a negligible error of 0.01 dB in the lit region. In addition, based on the connection between the Fresnel and METIS KED models, we propose a threshold for the four-state piecewise linear modeling, which can satisfy the modeling of the shadowing effect at a specific frequency or environment and is the closed form.