English

On Bounds for $E$-capacity of DMC

Information Theory 2007-07-13 v1 math.IT

Abstract

Random coding, expurgated and sphere packing bounds are derived by method of types and method of graph decomposition for EE-capacity of discrete memoryless channel (DMC). Three decoding rules are considered, the random coding bound is attainable by each of the three rules, but the expurgated bound is achievable only by maximum-likelihood decoding. Sphere packing bound is obtained by very simple combinatorial reasonings of the method of types. The paper joins and reviews the results of previous hard achievable publications.

Keywords

Cite

@article{arxiv.cs/0610130,
  title  = {On Bounds for $E$-capacity of DMC},
  author = {Evgueni A. Haroutunian},
  journal= {arXiv preprint arXiv:cs/0610130},
  year   = {2007}
}
R2 v1 2026-07-22T12:27:05.283Z