Second-order slepian-wolf coding theorems for non-mixed and mixed sources

Ryo Nomura, Te Sun Han

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)


The second-order achievable rate region in Slepian-Wolf source coding systems is investigated. The concept of second-order achievable rates, which enables us to make a finer evaluation of achievable rates, has already been introduced and analyzed for general sources in the single-user source coding problem. Analogously, in this paper, we first define the second-order achievable rate region for the Slepian-Wolf coding system to establish the source coding theorem in the second-order sense. The Slepian-Wolf coding problem for correlated sources is one of typical problems in the multiterminal information theory. In particular, Miyake and Kanaya, and Han have established the first-order source coding theorems for general correlated sources. On the other hand, in general, the second-order achievable rate problem for the Slepian-Wolf coding system with general sources remains still open up to present. In this paper, we present the analysis concerning the second-order achievable rates for general sources, which are based on the information spectrum methods developed by Han and Verdú. Moreover, we establish the explicit second-order achievable rate region for independently and identically distributed (i.i.d.) correlated sources with countably infinite alphabets and mixtures of i.i.d. correlated sources, respectively, using the relevant asymptotic normality.

Original languageEnglish
Article number6856169
Pages (from-to)5553-5572
Number of pages20
JournalIEEE Transactions on Information Theory
Issue number9
Publication statusPublished - 2014 Sept
Externally publishedYes


  • Asymptotic normality
  • Slepian-Wolf data compression system
  • correlated sources
  • second-order achievability

ASJC Scopus subject areas

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


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