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Simple Channel Coding Bounds

Information Theory 2010-07-29 v3 math.IT

Abstract

New channel coding converse and achievability bounds are derived for a single use of an arbitrary channel. Both bounds are expressed using a quantity called the "smooth 0-divergence", which is a generalization of Renyi's divergence of order 0. The bounds are also studied in the limit of large block-lengths. In particular, they combine to give a general capacity formula which is equivalent to the one derived by Verdu and Han.

Keywords

Cite

@article{arxiv.0901.0834,
  title  = {Simple Channel Coding Bounds},
  author = {Ligong Wang and Roger Colbeck and Renato Renner},
  journal= {arXiv preprint arXiv:0901.0834},
  year   = {2010}
}

Comments

Presented at ISIT 2009

R2 v1 2026-06-21T11:58:18.224Z