Performance analysis of coherent equal gain combining over Nakagami-m fading channels

Mohamed Slim Alouini*, Marvin K. Simon

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

60 Scopus citations


We study the exact average output signal-to-noise ratio (SNR) and symbol error rate (SER) of M-ary phase-shift-keying (PSK) signals with coherent equal gain combining reception. The analysis assumes independent Nakagami-m fading paths, which are not necessarily identically distributed. On one hand, we use geometric summations to obtain closed-form expressions for the average output SNR over diversity paths with an exponentially decaying power delay profile. On the other hand, capitalizing on an alternative integral representation of the conditional SER along with Gauss-Hermite quadrature integration, we derive average SER expression in the form of a single finite-range integral and an integrand composed of tabulated functions. We also present a simpler but approximate approach for the closed-form evaluation of the SER of these signals over independent identically distributed Nakagami-m fading paths.

Original languageEnglish (US)
Pages (from-to)1449-1463
Number of pages15
JournalIEEE Transactions on Vehicular Technology
Issue number6
StatePublished - Nov 2001
Externally publishedYes


  • Diversity combining
  • Equal gain combining
  • Nakagami-fading channels

ASJC Scopus subject areas

  • Aerospace Engineering
  • Electrical and Electronic Engineering
  • Computer Networks and Communications
  • Automotive Engineering


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