Dispersion of Gaussian channels

  • Authors:
  • Yury Polyanskiy;H. Vincent Poor;Sergio Verdú

  • Affiliations:
  • Dept. of Electrical Engineering, Princeton University, Princeton, NJ;Dept. of Electrical Engineering, Princeton University, Princeton, NJ;Dept. of Electrical Engineering, Princeton University, Princeton, NJ

  • Venue:
  • ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
  • Year:
  • 2009

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Abstract

The minimum blocklength required to achieve a given rate and error probability can be easily and tightly approximated from two key channel parameters: the capacity and the channel dispersion. The channel dispersion gauges the variability of the channel relative to a deterministic bit pipe with the same capacity. This paper finds the dispersion of the additive white Gaussian noise (AWGN) channel, the parallel AWGN channel, and the Gaussian channel with non-white noise and intersymbol interference.