Sum of correlated gamma variates with application to the performance of wireless systems over Nakagami channels

M. S. Alouini, A. Abdi, M. Kaveh

Research output: Contribution to journalConference articlepeer-review

Abstract

We extend the Moschopoulos representation for the probability density function (PDF) of the sum of independent gamma variates to the PDF of the sum of correlated gamma variates and provide an exact PDF-based approach for the performance analysis of many wireless communication systems over not necessarily independent identically distributed (i.i.d.) Nakagami fading channels. The key feature of this representation is that it is in the form of a single gamma series which implies that all the manipulations that can be performed for the i.i.d. case can now also be done for the non-i.i.d case. Aside from putting under the same umbrella many of the past results obtained via characteristic function (CF)-based approaches, the proposed PDF-based approach also allows the derivation of additional performance measures which are harder to analyze via CF-based approaches.

Original languageEnglish (US)
Number of pages1
JournalIEEE International Symposium on Information Theory - Proceedings
StatePublished - Sep 12 2001
Event2001 IEEE International Symposium on Information Theory (ISIT 2001) - Washington, DC, United States
Duration: Jun 24 2001Jun 29 2001

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