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

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

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

2 Scopus citations

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)
Pages (from-to)56
Number of pages1
JournalIEEE International Symposium on Information Theory - Proceedings
StatePublished - 2001
Externally publishedYes
Event2001 IEEE International Symposium on Information Theory (ISIT 2001) - Washington, DC, United States
Duration: Jun 24 2001Jun 29 2001

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Applied Mathematics
  • Modeling and Simulation

Fingerprint

Dive into the research topics of 'Sum of correlated gamma variates with application to the performance of wireless systems over Nakagami channels'. Together they form a unique fingerprint.

Cite this