Upper bound on the capacity of Gaussian channels with noisy feedback

Chong Li; Nicola Elia

doi:10.1109/Allerton.2011.6120153

Upper bound on the capacity of Gaussian channels with noisy feedback

Chong Li, Nicola Elia

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Scopus citations

Abstract

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.

Original language	English (US)
Title of host publication	2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
Pages	84-89
Number of pages	6
DOIs	https://doi.org/10.1109/Allerton.2011.6120153
State	Published - Dec 1 2011
Externally published	Yes
Event	2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011 - Monticello, IL, United States Duration: Sep 28 2011 → Sep 30 2011

Publication series

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

Other

Other	2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
Country	United States
City	Monticello, IL
Period	9/28/11 → 9/30/11

Keywords

Capacity
Gaussian channels with noisy feedback
convex optimization
stationarity

Access

10.1109/Allerton.2011.6120153

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Upper bound on the capacity of Gaussian channels with noisy feedback. / Li, Chong; Elia, Nicola.

2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011. 2011. p. 84-89 6120153 (2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Li, C & Elia, N 2011, Upper bound on the capacity of Gaussian channels with noisy feedback. in 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011., 6120153, 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011, pp. 84-89, 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011, Monticello, IL, United States, 9/28/11. https://doi.org/10.1109/Allerton.2011.6120153

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