On the mutual information distribution of OFDM-Based spatial multiplexing

Exact variance and outage approximation

Matthew R. McKay*, Peter J. Smith, Himal A. Suraweera, Iain B. Collings

*Corresponding author for this work

Research output: Contribution to journalArticle

61 Citations (Scopus)


This communication considers the distribution of the mutual information of frequency-selective spatially uncorrelated Rayleigh fading multiple-input-multiple-output (MIMO) channels. Results are presented for orthogonal frequency-division multiplexing (OFDM)-based spatial multiplexing. New exact closed-form expressions are derived for the variance of the mutual information. In contrast to previous results, our new expressions apply for systems with both arbitrary numbers of antennas and arbitrary-length channels. Simplified expressions are also presented for high and low signal-to-noise ratio (SNR) regimes. The analytical variance results are used to provide accurate analytical approximations for the distribution of the mutual information, and the outage capacity.

Original languageEnglish
Pages (from-to)3260-3278
Number of pages19
JournalIEEE Transactions on Information Theory
Issue number7
Publication statusPublished - Jul 2008
Externally publishedYes


  • Multiple-input-multiple-output (MIMO) systems
  • Mutual information
  • Orthogonal frequency-division multiplexing (OFDM)

Fingerprint Dive into the research topics of 'On the mutual information distribution of OFDM-Based spatial multiplexing: Exact variance and outage approximation'. Together they form a unique fingerprint.

Cite this