Chernoff bounds on pairwise error probabilities of space-time codes

  • Authors:
  • A. Dogandzic

  • Affiliations:
  • Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA, USA

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

We derive Chernoff bounds on pairwise error probabilities of coherent and noncoherent space-time signaling schemes. First, general Chernoff bound expressions are derived for a correlated Ricean fading channel and correlated additive Gaussian noise. Then, we specialize the obtained results to the cases of space-time-separable noise, white noise, and uncorrelated fading. We derive approximate Chernoff bounds for high and low signal-to-noise ratios (SNRs) and propose optimal signaling schemes. We also compute the optimal number of transmitter antennas for noncoherent signaling with unitary mutually orthogonal space-time codes.