On the Sum of Gamma Random Variates with Application to the Performance of Maximal Ratio Combining over Nakagami-m Fading Channels

Ansari, I. S. , Yilmaz, F., Alouini, M.-S. and Kucur, O. (2012) On the Sum of Gamma Random Variates with Application to the Performance of Maximal Ratio Combining over Nakagami-m Fading Channels. In: 2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), Cesme, Turkey, 17-20 June 2012, pp. 394-398. ISBN 9781467309707 (doi:10.1109/SPAWC.2012.6292935)

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Abstract

The probability distribution function (PDF) and cumulative density function of the sum of L independent but not necessarily identically distributed gamma variates, applicable to maximal ratio combining receiver outputs or in other words applicable to the performance analysis of diversity combining receivers operating over Nakagami-m fading channels, is presented in closed form in terms of Meijer G-function and Fox H̅-function for integer valued fading parameters and non-integer valued fading parameters, respectively. Further analysis, particularly on bit error rate via PDF-based approach, too is represented in closed form in terms of Meijer G-function and Fox H̅-function for integer-order fading parameters, and extended Fox H̅--function (Ĥ) for non-integer-order fading parameters. The proposed results complement previous results that are either evolved in closed-form, or expressed in terms of infinite sums or higher order derivatives of the fading parameter m.

Item Type:Conference Proceedings
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
ISSN:1948-3244
ISBN:9781467309707

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