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Mathematical Problems in Engineering
Volume 2013, Article ID 147106, 6 pages
Research Article

The Distribution of the Ratio of the Products of Two Independent - Variates and Its Application in the Performance Analysis of Relaying Communication Systems

1Faculty of Electronic Engineering, University of Niš, 18000 Niš, Serbia
2State University of Novi Pazar, 36300 Novi Pazar, Serbia
3The School of Higher Technical Proffesional Education, 18000 Niš, Serbia
4Faculty of Natural Sciences and Mathematics, University of Priština, 38220 Kosovska Mitrovica, Serbia

Received 9 January 2013; Revised 24 February 2013; Accepted 24 February 2013

Academic Editor: Zheng-Guang Wu

Copyright © 2013 Ana Matović et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present novel general, simple, exact, and closed-form expressions for the probability density function (PDF) and cumulative distribution function (CDF) of the ratio of the products of two independent - variates, where all variates have identical values of alpha parameter. Obtained results are applied in analysis of multihop wireless communication systems in different fading transmission environments. The proposed theoretical analysis is also complemented by various graphically presented numerical results.