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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.

Probability of Secrecy Outage in Cognitive Radio Networks over Rician-Fading Channels

Zhang J., Jiang H., Pan G.

International Journal of Electronics and Telecommunications

2016

Vol. 62, No. 2

153--158

In Rician-fading scenario, cognitive radio networks (CRNs) with a source in a secondary system transmitting its confidential information to a legitimate destination in the presence of an eavesdropper, are considered in this paper. Under CRNs, the interference power reaching at primary user (PU) is limited by some pre-defined threshold. Secrecy outage not only occurs when the achievable secrecy capacity for source-destination link is smaller than a target rate, but also occurs in the case that the interference power at PU is greater than that threshold. Analytical expression for secrecy outage probability has been derived and verified with simulation results. In addition, we have also derived the analytical expression for probability of non-zero secrecy capacity.