Sum of gamma variates and performance of wireless communication systems over Nakagami-fading channels

Mohamed Slim Alouini, Ali Abdi, Mostafa Kaveh

Research output: Contribution to journalArticlepeer-review

297 Scopus citations


Capitalizing on the Moschopoulos single gamma series representation of the probability density function (pdf) of the sum of gamma variates, we provide a pdf-based approach for the performance analysis of maximal-ratio combining and postdetection equal-gain combining diversity techniques as well as cochannel interference of cellular mobile radio systems over Nakagami-fading channels with arbitrary parameters. Aside from putting under the same umbrella many of the past results obtained via characteristic function (CF) or moment generating function (MGF)-based approaches, the proposed also allows the derivation of additional performance measures, which are harder to analyze via CF or MGF-based approaches.

Original languageEnglish (US)
Pages (from-to)1471-1480
Number of pages10
JournalIEEE Transactions on Vehicular Technology
Issue number6
StatePublished - Nov 2001

Bibliographical note

Funding Information:
Manuscript received November 27, 2000; revised March 13, 2001. This work was supported by the National Science Foundation under Grants CCR-9983462 and ECS-9979443. This paper is an expanded version of the work presented at the IEEE International Symposium on Information Theory (ISIT’2001), Washington, DC, June 2001.


  • Bit error rate (BER) performance
  • Cellular mobile radio systems
  • Cochannel interference
  • Correlated fading
  • Diversity systems
  • Nakagami-fading channels
  • Outage probability
  • Shannon capacity over fading channels


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