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Upper bound on the capacity of Gaussian channels with noisy feedback

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2 Author(s)
Chong Li ; Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA, USA ; Elia, N.

We consider an additive Gaussian channel with additive Gaussian noise feedback. We first 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.

Published in:

Communication, Control, and Computing (Allerton), 2011 49th Annual Allerton Conference on

Date of Conference:

28-30 Sept. 2011