Extended Generalized-K (EGK): A New Simple and General Model for Composite Fading Channels

TL;DR

This paper introduces the EGK distribution, a versatile model for composite fading in millimeter wave and optical channels, providing analytical expressions for key statistical and performance metrics validated by simulations.

Contribution

The paper presents the first comprehensive analytical framework for the EGK fading model, including its statistical properties and performance measures, applicable to millimeter wave and optical communication channels.

Findings

EGK accurately models composite fading in millimeter wave and optical channels.

Derived closed-form expressions for key performance metrics.

Simulation results confirm the analytical accuracy of the model.

Abstract

In this paper, we introduce a generalized composite fading distribution (termed extended generalized-K (EGK)) to model the envelope and the power of the received signal in millimeter wave (60 GHz or above) and free-space optical channels. We obtain the first and the second-order statistics of the received signal envelope characterized by the EGK composite fading distribution. In particular, expressions for probability density function, cumulative distribution function, level crossing rate and average fade duration, and fractional moments are derived. In addition performance measures such as amount of fading, average bit error probability, outage probability, average capacity, and outage capacity are offered in closed-form. Selected numerical and computer simulation examples validate the accuracy of the presented mathematical analysis.