Upper Bound on the Capacity of Gaussian Channels with Noisy Feedback
arXiv:1201.1588
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.
arXiv comment6 pages. Published on the Forty-Ninth Annual Allerton Conference on Communication, Control, and Computing, September 28 - September 30, 2011