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2 Journal of Telecommunications and Information Technology

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First and Second Order Characteristics of a Wireless Three-hop Relay Channel with the Presence of Rayleigh Fading

Krstic Dragana, Nikolic Petar, Popovic Zoran, Stefanovic Mihajlo

Journal of Telecommunications and Information Technology

2020

nr 2

36--44

In this paper, a wireless three-hop relay communication system operating in a Rayleigh multipath fading environment is analyzed. The output signal from such a system is a product of signal envelopes from all sections, meaning that it is actually a product of three random variables (RVs) with Rayleigh distribution. We considered here the ﬁrst-order characteristics: probability density function (PDF), cumulative distribution function and outage probability (OP). Then, the moments and amount of fading (AoF) were derived in the closed forms. The second order characteristics we present include the following: level crossing rate (LCR) and average fade duration (AFD). A few graphs are given to show the impact of the speciﬁc parameters of the wireless three-hop relay system.

Product of Three Random Variables and its Application in Relay Telecommunication Systems in the Presence of Multipath Fading

Krstic Dragana, Nikolic Petar, Aleksic Danijela, Minic Sinisa, Vuckovic Dragan, Stefanovic Mihajlo

Journal of Telecommunications and Information Technology

2019

nr 1

83--92

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.