Upper Bound on the Capacity of Gaussian Channels with Noisy Feedback

Chong Li; Nicola Elia

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arXiv · 1201.1588

Upper Bound on the Capacity of Gaussian Channels with Noisy Feedback

Chong Li·Nicola Elia

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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.

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Chong Li, Nicola Elia. 2012-01-07. Upper Bound on the Capacity of Gaussian Channels with Noisy Feedback. https://arxiv.org/abs/1201.1588

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