Joint Source-Channel Coding with Feedback

Victoria Kostina, Yury Polyanskiy, Sergio Verdú

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


This paper quantifies the fundamental limits of variable-length transmission of a general (possibly analog) source over a memoryless channel with noiseless feedback, under a distortion constraint. We consider excess distortion, average distortion, and guaranteed distortion (d-semifaithful codes). In contrast to the asymptotic fundamental limit, a general conclusion is that allowing variable-length codes and feedback leads to a sizable improvement in the fundamental delay-distortion tradeoff. In addition, we investigate the minimum energy required to reproduce k source samples with a given fidelity after transmission over a memoryless Gaussian channel, and we show that the required minimum energy is reduced with feedback and an average (rather than maximal) power constraint.

Original languageEnglish (US)
Article number7864393
Pages (from-to)3502-3515
Number of pages14
JournalIEEE Transactions on Information Theory
Issue number6
StatePublished - Jun 2017

All Science Journal Classification (ASJC) codes

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


  • Variable-length coding
  • energy-distortion tradeoff
  • feedback
  • finite-blocklength regime
  • joint source-channel coding
  • lossy compression
  • memoryless channels
  • rate-distortion theory
  • single-shot method


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