Transmitting k samples over the Gaussian channel: Energy-distortion tradeoff

Victoria Kostina, Yury Polyanskiy, Sergio Verdu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We investigate the minimum transmitted energy required to reproduce k source samples with a given fidelity after transmission over a memoryless Gaussian channel. In particular, we analyze the reduction in transmitted energy that accrues thanks to the availability of noiseless feedback. Allowing a nonvanishing excess distortion probability ∈ boosts the asymptotic fundamental limit by a factor of 1-∈, with or without feedback. If feedback is available, achieving guaranteed distortion with finite average energy is possible.

Original languageEnglish (US)
Title of host publication2015 IEEE Information Theory Workshop, ITW 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781479955268
DOIs
StatePublished - Jun 24 2015
Event2015 IEEE Information Theory Workshop, ITW 2015 - Jerusalem, Israel
Duration: Apr 26 2015May 1 2015

Publication series

Name2015 IEEE Information Theory Workshop, ITW 2015

Other

Other2015 IEEE Information Theory Workshop, ITW 2015
CountryIsrael
CityJerusalem
Period4/26/155/1/15

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering
  • Computer Networks and Communications
  • Information Systems
  • Computational Theory and Mathematics

Keywords

  • Gaussian channels
  • Joint source-channel coding
  • Shannon theory
  • energy distortion Tradeoff
  • feedback
  • finite-blocklength regime
  • lossy compression
  • memoryless channels
  • rate-distortion theory
  • single-shot method

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