Capacity of MIMO Rician channels

Ming Kang*, Mohamed Slim Alouini

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

192 Scopus citations


This paper presents exact results on the capacity of multiple-input-niultiple-output (MIMO) Rician channels when perfect channel state information (CSI) is assumed at the receiver but the transmitter has neither instantaneous nor statistical CSI. It first derives the exact expression for the average mutual information (MI) rate of MIMO Rician fading channels when the fading coefficients are independent but not necessarily identically distributed. The results for the independent and identically distributed (i.i.d.) MIMO Rician and Rayleigh fading channels are also obtained as special cases. These results are derived using a different approach than the one used by Telatar for the i.i.d. Rayleigh case. The complementary cumulative distribution function (CCDF) of the MI is also obtained using a Gaussian approximation. The CDF of MI can serve as an upper bound to the outage probability of nonergodic MIMO Rician channels. Numerical results confirm that for a fixed channel gain, a strong line-of-sight component decreases the channel capacity due to the lack of scattering.

Original languageEnglish (US)
Pages (from-to)112-122
Number of pages11
JournalIEEE Transactions on Wireless Communications
Issue number1
StatePublished - Jan 2006
Externally publishedYes


  • Capacity
  • Moment generating function
  • Multiple-input-multiple-output (MIMO)
  • Outage capacity
  • Rician fading

ASJC Scopus subject areas

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics


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