New results on the sum of Gamma random variates with application to the performance of wireless communication systems over Nakagami-m fading channels

Ansari, I. S. , Yilmaz, F., Alouini, M.-S. and Kucur, O. (2017) New results on the sum of Gamma random variates with application to the performance of wireless communication systems over Nakagami-m fading channels. Transactions on Emerging Telecommunications Technologies, 28(1), e2912. (doi:10.1002/ett.2912)

Full text not currently available from Enlighten.

Abstract

The probability density function (PDF) and cumulative distribution function of the sum of L‐independent but not necessarily identically distributed Gamma variates, applicable to the output statistics of maximal ratio combining receiver operating over Nakagami‐m fading channels or in other words to the statistical analysis of the scenario where the sum of squared Nakagami‐m distributions is user‐of‐interest, are presented in closed form in terms of well‐known Meijer's G function and easily computable Fox's H̄ function for integer‐valued and non‐integer‐valued m fading parameters. Further analysis, particularly on bit error rate via a PDF‐based approach, is also offered in closed form in terms of Meijer's G function and Fox's H̄ function for integer‐valued fading parameters and extended Fox's H̄ function ( urn:x-wiley:ett:media:ett2912:ett2912-math-0001) for non‐integer‐valued fading parameters. Our proposed results complement previous known results that are either expressed in terms of infinite sums, nested sums or higher‐order derivatives of the fading parameter m.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Ansari, Dr Imran
Authors: Ansari, I. S., Yilmaz, F., Alouini, M.-S., and Kucur, O.
College/School:College of Science and Engineering > School of Engineering > Systems Power and Energy
Journal Name:Transactions on Emerging Telecommunications Technologies
Publisher:Wiley
ISSN:2161-3915
ISSN (Online):2161-3915
Published Online:04 December 2014

University Staff: Request a correction | Enlighten Editors: Update this record