Wireless Communication System Performance in M2M Nakagami-m Fading Channel

Milutin Nešić, Nenad Milošević, Petar Spalević, Zorica Nikolić and Marko Smilić ()
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Milutin Nešić: Academy of Technical and Art Applied Studies, School of Electrical and Computer Engineering, Vojvode Stepe 283, 11010 Belgrade, Serbia
Nenad Milošević: Faculty of Electronic Engineering, University of Niš, Aleksandra Medvedeva 14, 18106 Niš, Serbia
Petar Spalević: Faculty of Technical Sciences, University of Priština in Kosovska Mitrovica, Knjaza Miloša 7, 38220 Kosovska Mitrovica, Serbia
Zorica Nikolić: Faculty of Business and Law, MB University, Teodora Drajzera 27, 11111 Belgrade, Serbia
Marko Smilić: Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Lole Ribara 29, 38220 Kosovska Mitrovica, Serbia

Sustainability, 2023, vol. 15, issue 4, 1-16

Abstract: In this paper, we investigate a wireless mobile communication system with a cooperative network operating over a mobile-to-mobile (M2M) fading channel in the presence of co-channel interference. Since there is no direct line of sight between the source (S) and the destination (D) due to various obstacles, the signal transmission takes place by using a relay (R). We modeled and represented the desired signal and co-channel interference by using the Nakagami-m fading distribution from the source (S) to the relay (R), as well as from the relay (R) to the destination (D). As the popularity of M2M communication has increased in 5G cellular networks, the performance analysis of the proposed system is of great importance. We derived closed-form expressions for the probability density function (PDF) and cumulative distribution function (CDF) of the signal-to-interference ratio (SIR) at the input of the destination station. Based on the cumulative distribution function (CDF), we also evaluated the outage probability (Pout) of the proposed communication system. In addition, we derived a closed-form approximate expression for the level crossing rate (LCR) by using the Laplace approximation formula for the three-fold integral. Validity of the derived theoretical results we approved by Monte Carlo simulations.

Keywords: co-channel interference; cooperative communications; level crossing rate; mobile-to-mobile channel; Nakagami-m fading; outage probability (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2023
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