Upper Bound on the Capacity of Gaussian Channels with Noisy Feedback

Chong Li; Nicola Elia

Upper Bound on the Capacity of Gaussian Channels with Noisy Feedback

Information Theory 2015-03-19 v1 math.IT

Authors: Chong Li , Nicola Elia

Abstract

We consider an additive Gaussian channel with additive Gaussian noise feedback. We derive an upper bound on the n-block capacity (defined by Cover [1]). It is shown that this upper bound can be obtained by solving a convex optimization problem. With stationarity assumptions on Gaussian noise processes, we characterize the limit of the n-block upper bound and prove that this limit is the upper bound of the noisy feedback (shannon) capacity.

Keywords

gaussian channel noisy feedback capacity upper bound convex optimization stationary gaussian noise n-block capacity

Cite

@article{arxiv.1201.1588,
  title  = {Upper Bound on the Capacity of Gaussian Channels with Noisy Feedback},
  author = {Chong Li and Nicola Elia},
  journal= {arXiv preprint arXiv:1201.1588},
  year   = {2015}
}

Comments

6 pages. Published on the Forty-Ninth Annual Allerton Conference on Communication, Control, and Computing, September 28 - September 30, 2011

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