Open AccessProduct of Three Random Variables and its Application in Relay Telecommunication Systems in the Presence of Multipath Fading
Author(s) -
Dragana Krstić,
Petar Nikolić,
Danijela Aleksić,
Siniša Minić,
Dragan Vučković,
Mihajlo Stefanović
Publication year - 2019
Publication title -
journal of telecommunications and information technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.151
H-Index - 12
eISSN - 1899-8852
pISSN - 1509-4553
DOI - 10.26636/jtit.2019.130018
Subject(s) - rician fading , multipath propagation , nakagami distribution , fading , random variable , fading distribution , relay , delay spread , telecommunications , computer science , wireless , rayleigh fading , mathematics , statistics , channel (broadcasting) , power (physics) , physics , quantum mechanics
In this paper, the product of three random variables (RVs) will be considered. Distribution of the product of independent random variables is very important in many applied problems, including wireless relay telecommunication systems. A few of such products of three random variables are observed in this work: the level crossing rate (LCR) of the product of a Nakagami-m random variable, a Rician random variable and a Rayleigh random variable, and of the products of two Rician RVs and one Nakagami-m RV is calculated in closed forms and presented graphically. The LCR formula may be later used for derivation of average fade duration (AFD) of a wireless relay communication radio system with three sections, working in the multipath fading channel. The impact of fading parameters and multipath fading power on the LCR is analyzed based on the graphs presented.