LCR and AFD of the Products of Nakagami-m and Nakagami-m Squared Random Variables: Application to Wireless Communications Through Relays

Abstract

The paper considers level crossing rate (LCR) and average fade du- ration (AFD) of the product of independent and identically distributed (i.i.d) Nakagami-m (NM) and double NM squared (also known as gamma-gamma) random variables (RVs). The derived statistical results are than related to the radio-frequency (RF) - free space optical (FSO), dual-hop (DH), amplify- and forward (AF) relaying system over non turbulent-induced-fading channels (nTIFCs) and turbulent-induced-fading channels (TIFCs). The obtained re- sults of DH-AF, RF-FSO system over TIFCs and nTIFCs are numerically evaluated and graphically presented for all system model parameters.