REPUBLIC OF SERBIA

MINISTRY OF DEFENCE

www.mod.gov.rs

MINISTRY OF DEFENCE

Material Resources Sector

Defensive Technologies Department

Military Technical Institute

www.vti.mod.gov.rs

Closed form expression for level crossing rate of cooperative relaying system in α-μ fading channel

Ivica Marjanović

Republic of Serbia Ministry of Defence, Belgrade, ivica.marjanovic@mod.gov.rs

Zorica Nikolić

University of Niš, Faculty of Electronic Engineering, Niš, zorica.nikolić@elfak.ni.ac.rs

Nenad Milošević

University of Niš, Faculty of Electronic Engineering, Niš, nenad.milosevic@elfak.ni.ac.rs

Dejan N. Milić

University of Niš, Faculty of Electronic Engineering, Niš, dejan.milic@elfak.ni.ac.rs

Mihajlo Stefanović

University of Niš, Faculty of Electronic Engineering, Niš, mihajlo.stefanovic@elfak.ni.ac.rs

Abstract: In this paper, we have considered a cooperative mobile-to-mobile wireless short-term α-μ fading channel. The source mobile station communicates with the destination via a relay. The channel is considered to be interference-limited, and the interference is present at both relay and the destination. An approximate, numerically efficient, closed-form expression for the level crossing rate is also derived, using Laplace approximation for a three-fold integral. The influence of the fading channel parameters on the level crossing rate is investigated. The approximate results are verified by the Monte-Carlo simulation and numerical integration.

Keywords: cooperative relaying, fading, interference, level crossing rate.