Largest eigenvalue of complex wishart matrices and performance analysis of MIMO MRC systems

Ming Kang*, Mohamed Slim Alouini

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

290 Scopus citations


This paper extends Khatri distribution of the largest eigenvalue of central complex Wishart matrices to the noncentral case. It then applies the resulting new statistical results to obtain closed-form expressions for the outage probability of multiple-input-multiple-output (MIMO) systems employing maximal ratio combining (known also as "beamforming" systems) and operating over Rician-fading channels. When applicable these expressions are compared with special cases previously reported in the literature dealing with the performance of 1) MIMO systems over Rayleigh-fading channels and 2) single-input-multiple-output (SIMO) systems over Rician-fading channels. As a double check these analytical results are validated by Monte Carlo simulations and as an illustration of the mathematical formalism some numerical examples for particular cases of interest are plotted and discussed. These results show that, given a fixed number of total antenna elements and under the same scattering condition 1) SIMO systems are equivalent to multiple-input-single-output systems and 2) it is preferable to distribute the number of antenna elements evenly between the transmitter and the receiver for a minimum outage probability performance.

Original languageEnglish (US)
Pages (from-to)418-426
Number of pages9
JournalIEEE Journal on Selected Areas in Communications
Issue number3
StatePublished - Apr 2003
Externally publishedYes


  • Beamforming
  • Flat Rician-fading channel
  • Maximal ratio combining (MRC)
  • Multiple-input-multiple-output (MIMO) systems
  • Outage probability

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Electrical and Electronic Engineering


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