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

Imran Shafique Ansari, Ferkan Yilmaz, Mohamed-Slim Alouini, Oguz Kucur

Research output: Chapter in Book/Report/Conference proceedingConference contribution

27 Scopus citations

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 H-bar-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 H-bar-function for integer-order fading parameters, and extended Fox H-bar-function (H-hat) 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.
Original languageEnglish (US)
Title of host publication2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages394-398
Number of pages5
ISBN (Print)978-1-4673-0970-7
DOIs
StatePublished - Sep 10 2012

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