The Arbitrarily Varying Channel with Colored Gaussian Noise

Uzi Pereg; Yossef Steinberg

doi:10.1109/ISIT44484.2020.9174155

The Arbitrarily Varying Channel with Colored Gaussian Noise

Uzi Pereg, Yossef Steinberg

Technion - Israel Institute of Technology

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

Abstract

We address the AVC with colored Gaussian noise. The paper consists of three parts. First, we study the AVC with fixed parameters, a model that combines the AVC and the time-varying channel. We determine both the deterministic and random code capacities and demonstrate super-additivity. In the second part, we consider the arbitrarily varying Gaussian product channel. The random code capacity was previously characterized by "double" water filling. We establish the deterministic code capacity and show that using independent scalar codes is suboptimal. Finally, we establish the capacity of the AVC with colored Gaussian noise, where double water filling is performed in the frequency domain. The analysis relies on our preceding results.

Original language	English
Title of host publication	2020 IEEE International Symposium on Information Theory, ISIT 2020 - Proceedings
Pages	2097-2102
Number of pages	6
ISBN (Electronic)	9781728164328
DOIs	https://doi.org/10.1109/ISIT44484.2020.9174155
State	Published - Jun 2020
Event	2020 IEEE International Symposium on Information Theory, ISIT 2020 - Los Angeles, United States Duration: 21 Jul 2020 → 26 Jul 2020

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
Volume	2020-June

Conference

Conference	2020 IEEE International Symposium on Information Theory, ISIT 2020
Country/Territory	United States
City	Los Angeles
Period	21/07/20 → 26/07/20

Keywords

Arbitrarily varying channel
Gaussian product channel
colored Gaussian noise
deterministic code
random code
time varying channel
water filling

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Information Systems
Applied Mathematics
Modelling and Simulation

Access to Document

10.1109/ISIT44484.2020.9174155

Cite this

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title = "The Arbitrarily Varying Channel with Colored Gaussian Noise",

abstract = "We address the AVC with colored Gaussian noise. The paper consists of three parts. First, we study the AVC with fixed parameters, a model that combines the AVC and the time-varying channel. We determine both the deterministic and random code capacities and demonstrate super-additivity. In the second part, we consider the arbitrarily varying Gaussian product channel. The random code capacity was previously characterized by {"}double{"} water filling. We establish the deterministic code capacity and show that using independent scalar codes is suboptimal. Finally, we establish the capacity of the AVC with colored Gaussian noise, where double water filling is performed in the frequency domain. The analysis relies on our preceding results.",

keywords = "Arbitrarily varying channel, Gaussian product channel, colored Gaussian noise, deterministic code, random code, time varying channel, water filling",

author = "Uzi Pereg and Yossef Steinberg",

note = "Publisher Copyright: {\textcopyright} 2020 IEEE.; 2020 IEEE International Symposium on Information Theory, ISIT 2020 ; Conference date: 21-07-2020 Through 26-07-2020",

year = "2020",

month = jun,

doi = "10.1109/ISIT44484.2020.9174155",

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Pereg, U & Steinberg, Y 2020, The Arbitrarily Varying Channel with Colored Gaussian Noise. in 2020 IEEE International Symposium on Information Theory, ISIT 2020 - Proceedings., 9174155, IEEE International Symposium on Information Theory - Proceedings, vol. 2020-June, pp. 2097-2102, 2020 IEEE International Symposium on Information Theory, ISIT 2020, Los Angeles, United States, 21/07/20. https://doi.org/10.1109/ISIT44484.2020.9174155

The Arbitrarily Varying Channel with Colored Gaussian Noise. / Pereg, Uzi ; Steinberg, Yossef.
2020 IEEE International Symposium on Information Theory, ISIT 2020 - Proceedings. 2020. p. 2097-2102 9174155 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2020-June).

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

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AB - We address the AVC with colored Gaussian noise. The paper consists of three parts. First, we study the AVC with fixed parameters, a model that combines the AVC and the time-varying channel. We determine both the deterministic and random code capacities and demonstrate super-additivity. In the second part, we consider the arbitrarily varying Gaussian product channel. The random code capacity was previously characterized by "double" water filling. We establish the deterministic code capacity and show that using independent scalar codes is suboptimal. Finally, we establish the capacity of the AVC with colored Gaussian noise, where double water filling is performed in the frequency domain. The analysis relies on our preceding results.

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M3 - منشور من مؤتمر

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The Arbitrarily Varying Channel with Colored Gaussian Noise

Abstract

Publication series

Conference

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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