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On Using Feedback in a Gaussian Channel

Information Theory 2015-01-21 v1 math.IT

Abstract

For information transmission a discrete time channel with independent additive Gaussian noise is used. There is also another channel with independent additive Gaussian noise (the feedback channel), and the transmitter observes without delay all outputs of the forward channel via that channel. Transmission of nonexponential number of messages is considered (i.e. transmission rate equals zero) and the achievable decoding error exponent for such a combination of channels is investigated. The transmission method strengthens the method used by authors earlier for BSC and Gaussian channels. In particular, for small feedback noise, it allows to gain 33.3\% (instead of 23.6\% earlier in the similar case of Gaussian channel).

Keywords

Cite

@article{arxiv.1501.04887,
  title  = {On Using Feedback in a Gaussian Channel},
  author = {Marat V. Burnashev and Hirosuke Yamamoto},
  journal= {arXiv preprint arXiv:1501.04887},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1208.2786

R2 v1 2026-06-22T08:07:22.131Z