Physical Model Based Method to Generate Channel Coefficients for Nakagami‑m Distribution

Abstract

In this paper, we discuss physical model based method to generate channel coefcients for Nakagami-m distribution. We consider the phase envelope joint distribution so that the phase of the faded signal is also considered. Mainly, the coefcients are generated by exploring the physical model that relates the Nakagami-m fading distribution with Gaussian and gamma distributions for which generation of coefcients is available in commonly used simulation tools. The empirical probability density function (PDF) of generated coeffcients are compared with the theoretical values and they are found in excellent agreements. The empirical PDFs for envelope and phase of the generated coefcients are validated using the Kolmogorov–Smirnov test.