Noisy feedback communications with side information at the decoder

Chong Li, Nicola Elia

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

3 Scopus citations

Abstract

In this paper. we introduce a new framework of communication channels with noisy feedback where the feedback information received by the transmitter is also available to the decoder with some finite delays. The merits of this new framework are demonstrated by two aspects: 1) Its (Shannon) capacity can be characterized by the causal conditional directed information. As an illustration, we characterize the n-block capacity of Gaussian noisy feedback channels under our new framework and propose an iteration algorithm to obtain a lower bound; 2) By constructing a specific linear coding scheme for the first-order moving average Gaussian channels with intermittent(erasure) feedback, we show that the new framework allows linear feedback coding schemes with positive transmission rate, which is (in certain scenario) much larger than the non-feedback Gaussian channel capacity.

Original languageEnglish (US)
Title of host publication2012 50th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2012
Pages1856-1863
Number of pages8
DOIs
StatePublished - Dec 1 2012
Externally publishedYes
Event2012 50th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2012 - Monticello, IL, United States
Duration: Oct 1 2012Oct 5 2012

Publication series

Name2012 50th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2012

Other

Other2012 50th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2012
CountryUnited States
CityMonticello, IL
Period10/1/1210/5/12

Keywords

  • Capacity
  • asymptotic equipartition property (AEP)
  • coding
  • convex optimization
  • noisy feedback

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