Fixed-length lossy compression in the finite blocklength regime

Victoria Kostina, Sergio Verdú

Research output: Contribution to journalArticlepeer-review

171 Scopus citations


This paper studies the minimum achievable source coding rate as a function of blocklength n and probability \epsilon that the distortion exceeds a given level d. Tight general achievability and converse bounds are derived that hold at arbitrary fixed blocklength. For stationary memoryless sources with separable distortion, the minimum rate achievable is shown to be closely approximated by R(d) + √V(d)\nQ -1(∈), where R(d) is the rate-distortion function, V(d) is the rate dispersion, a characteristic of the source which measures its stochastic variability, and Q -1 is the inverse of the standard Gaussian complementary cumulative distribution function.

Original languageEnglish (US)
Article number6145679
Pages (from-to)3309-3338
Number of pages30
JournalIEEE Transactions on Information Theory
Issue number6
StatePublished - 2012

All Science Journal Classification (ASJC) codes

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


  • Achievability
  • Shannon theory
  • converse
  • finite blocklength regime
  • lossy source coding
  • memoryless sources
  • rate distortion


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