Communication over the Gaussian channel with rate-limited feedback

Reza Mirghaderi, Andrea Goldsmith

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

1 Scopus citations

Abstract

We consider communication over an AWGN discrete time memoryless channel with noiseless delay-less rate-limited feedback. For the case where the feedback rate is lower than the data rate transmitted over the forward channel, we show that the decay of the probability of error is at most linearly exponential in block-length and obtain an upper bound for the error exponent. For the case where the feedback rate exceeds the forward rate, we propose a simple iterative scheme that achieves an error probability decaying L-fold exponentially (i.e. in general form of exp(-exp (...(exp(O(n)))...))/L as a function of the block-length when the feedback rate is at least L times the forward rate, for some positive integer L. Our results show that the error exponent as a function of the feedback rate has a discontinuity at the point where the feedback rate is equal to the forward rate.

Original languageEnglish (US)
Title of host publication2010 48th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2010
Pages451-457
Number of pages7
DOIs
StatePublished - 2010
Event48th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2010 - Monticello, IL, United States
Duration: Sep 29 2010Oct 1 2010

Publication series

Name2010 48th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2010

Other

Other48th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2010
CountryUnited States
CityMonticello, IL
Period9/29/1010/1/10

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Control and Systems Engineering

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