On the Mutual Information Distribution of OFDM-Based Spatial Multiplexing: Exact Variance and Outage Approximation

  • Authors:
  • M. R. McKay;P. J. Smith;H. A. Suraweera;I. B. Collings

  • Affiliations:
  • Dept. of Electron. & Comput. Eng., Hong Kong Univ. of Sci. & Technol., Kowloon;-;-;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2008

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Abstract

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.