The Gaussian channel with noisy feedback: Improving reliability via interaction

Assaf Ben-Yishai; Ofer Shayevitz

doi:10.1109/ISIT.2015.7282906

The Gaussian channel with noisy feedback: Improving reliability via interaction

Assaf Ben-Yishai
, Ofer Shayevitz

School of Electrical Engineering

Tel Aviv University

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

Abstract

Consider a pair of terminals connected by two independent (feedforward and feedback) Additive White Gaussian Noise (AWGN) channels, and limited by individual power constraints. The first terminal would like to reliably send information to the second terminal at a given rate. While the reliability in the cases of no feedback and of noiseless feedback is well studied, not much is known about the case of noisy feedback. In this work, we present an interactive scheme that significantly improves the reliability relative to the no-feedback setting, whenever the feedback Signal to Noise Ratio (SNR) is sufficiently larger than the feedforward SNR. The scheme combines Schalkwijk-Kailath (S-K) coding and modulo-lattice analog transmission.

Original language	English
Title of host publication	Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2500-2504
Number of pages	5
ISBN (Electronic)	9781467377041
DOIs	https://doi.org/10.1109/ISIT.2015.7282906
State	Published - 28 Sep 2015
Event	2015 IEEE International Symposium on Information Theory, ISIT 2015 - Hong Kong, China Duration: 14 Jun 2015 → 19 Jun 2015

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
Volume	2015-June

Conference

Conference	2015 IEEE International Symposium on Information Theory, ISIT 2015
Country/Territory	China
City	Hong Kong
Period	14/06/15 → 19/06/15

ASJC Scopus subject areas

Theoretical Computer Science
Information Systems
Modelling and Simulation
Applied Mathematics

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10.1109/ISIT.2015.7282906

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Ben-Yishai, A., & Shayevitz, O. (2015). The Gaussian channel with noisy feedback: Improving reliability via interaction. In Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015 (pp. 2500-2504). Article 7282906 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2015-June). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2015.7282906

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title = "The Gaussian channel with noisy feedback: Improving reliability via interaction",

abstract = "Consider a pair of terminals connected by two independent (feedforward and feedback) Additive White Gaussian Noise (AWGN) channels, and limited by individual power constraints. The first terminal would like to reliably send information to the second terminal at a given rate. While the reliability in the cases of no feedback and of noiseless feedback is well studied, not much is known about the case of noisy feedback. In this work, we present an interactive scheme that significantly improves the reliability relative to the no-feedback setting, whenever the feedback Signal to Noise Ratio (SNR) is sufficiently larger than the feedforward SNR. The scheme combines Schalkwijk-Kailath (S-K) coding and modulo-lattice analog transmission.",

author = "Assaf Ben-Yishai and Ofer Shayevitz",

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Ben-Yishai, A & Shayevitz, O 2015, The Gaussian channel with noisy feedback: Improving reliability via interaction. in Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015., 7282906, IEEE International Symposium on Information Theory - Proceedings, vol. 2015-June, Institute of Electrical and Electronics Engineers Inc., pp. 2500-2504, 2015 IEEE International Symposium on Information Theory, ISIT 2015, Hong Kong, China, 14/06/15. https://doi.org/10.1109/ISIT.2015.7282906

The Gaussian channel with noisy feedback: Improving reliability via interaction. / Ben-Yishai, Assaf; Shayevitz, Ofer.
Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 2500-2504 7282906 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2015-June).

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

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N2 - Consider a pair of terminals connected by two independent (feedforward and feedback) Additive White Gaussian Noise (AWGN) channels, and limited by individual power constraints. The first terminal would like to reliably send information to the second terminal at a given rate. While the reliability in the cases of no feedback and of noiseless feedback is well studied, not much is known about the case of noisy feedback. In this work, we present an interactive scheme that significantly improves the reliability relative to the no-feedback setting, whenever the feedback Signal to Noise Ratio (SNR) is sufficiently larger than the feedforward SNR. The scheme combines Schalkwijk-Kailath (S-K) coding and modulo-lattice analog transmission.

AB - Consider a pair of terminals connected by two independent (feedforward and feedback) Additive White Gaussian Noise (AWGN) channels, and limited by individual power constraints. The first terminal would like to reliably send information to the second terminal at a given rate. While the reliability in the cases of no feedback and of noiseless feedback is well studied, not much is known about the case of noisy feedback. In this work, we present an interactive scheme that significantly improves the reliability relative to the no-feedback setting, whenever the feedback Signal to Noise Ratio (SNR) is sufficiently larger than the feedforward SNR. The scheme combines Schalkwijk-Kailath (S-K) coding and modulo-lattice analog transmission.

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Ben-Yishai A, Shayevitz O. The Gaussian channel with noisy feedback: Improving reliability via interaction. In Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 2500-2504. 7282906. (IEEE International Symposium on Information Theory - Proceedings). doi: 10.1109/ISIT.2015.7282906

The Gaussian channel with noisy feedback: Improving reliability via interaction

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