A refinement of the random coding bound

@article{Altug2012ARO,
  title={A refinement of the random coding bound},
  author={Yucel Altug and Aaron B. Wagner},
  journal={2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton)},
  year={2012},
  pages={663-670}
}
An improved pre-factor for the random coding bound is proved. Specifically, for positive dispersion channels, if a certain regularity condition is satisfied, then for any ϵ > 0 a pre-factor of O(N-1/2(1-ϵ+ρ*w(R))) is achievable for rates above the critical rate, where ρ*w (R) is related to the slope of the random coding bound at rate R. If the regularity condition is not satisfied, then a pre-factor of O(N-1/2) is achievable. Recent work of the authors shows that the former case is nearly the… CONTINUE READING
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