Scalar coherent fading channel: Dispersion analysis

@article{Polyanskiy2011ScalarCF,
  title={Scalar coherent fading channel: Dispersion analysis},
  author={Yury Polyanskiy and Sergio Verd{\'u}},
  journal={2011 IEEE International Symposium on Information Theory Proceedings},
  year={2011},
  pages={2959-2963}
}
The backoff from capacity due to finite blocklength can be assessed accurately from the channel dispersion. This paper analyzes the dispersion of a single-user, scalar, coherent fading channel with additive Gaussian noise. We obtain a convenient two-term expression for the channel dispersion which shows that, unlike the capacity, it depends crucially on the dynamics of the fading process. 
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