First- and second-order coding theorems for mixed memoryless channels with general mixture

Hideki Yagi, Te Sun Han, Ryo Nomura

研究成果: Article査読

4 被引用数 (Scopus)

抄録

This paper investigates the first- and second-order maximum achievable rates of codes with/without cost constraints for mixed channels whose channel law is characterized by a general mixture of (at most) uncountably many stationary and memoryless discrete channels. These channels are referred to as mixed memoryless channels with general mixture and include the class of mixed memoryless channels of finitely or countably memoryless channels as a special case. For the mixed memoryless channels with general mixture, the first-order coding theorem which gives a formula for the $\varepsilon $ -capacity is established, and then a direct part of the second-order coding theorem is provided. A subclass of mixed memoryless channels whose component channels can be ordered according to their capacity is introduced, and the first- and second-order coding theorems are established. It is shown that the established formulas reduce to several known formulas for restricted scenarios.

本文言語English
論文番号7479457
ページ(範囲)4395-4412
ページ数18
ジャーナルIEEE Transactions on Information Theory
62
8
DOI
出版ステータスPublished - 2016 8
外部発表はい

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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