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We consider an additive Gaussian channel with additive Gaussian noisefeedback. 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 convexoptimization problem. With stationarity assumptions on Gaussian noiseprocesses, we characterize the limit of the n-block upper bound and prove thatthis limit is the upper bound of the noisy feedback (shannon) capacity.

Upper Bound on the Capacity of Gaussian Channels with Noisy Feedback