MIMO Optical Intensity Channels with Peak Intensity Constraints: Low-SNR Capacity

Anas Chaaban; Zouheir Rezki; Mohamed Slim Alouini

doi:10.1109/ISIT.2018.8437674

MIMO Optical Intensity Channels with Peak Intensity Constraints: Low-SNR Capacity

Anas Chaaban, Zouheir Rezki, Mohamed Slim Alouini

Computer, Electrical and Mathematical Sciences and Engineering

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

2 Scopus citations

Abstract

The capacity of the intensity-modulation direct-detection (IM-DD) multiple-input multiple-output channel is studied under average and peak intensity constraints. We focus on the low signal-to-noise ratio (SNR) regime where the constraints proportionally vanish, or alternatively, where the noise power is large. A general upper bound on the capacity of this channel is derived. Then, this bound is shown to be tight at low SNR, where it coincides with the achievable rate of (i) on-off keying (OOK), spatial repetition coding, and maximum-ratio combining under individual average constraint and (ii) OOK with maximally-correlated inputs under a sum average constraint. This leads to a low-SNR capacity characterization of the channel.

Original language	English (US)
Title of host publication	2018 IEEE International Symposium on Information Theory, ISIT 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1360-1364
Number of pages	5
ISBN (Print)	9781538647806
DOIs	https://doi.org/10.1109/ISIT.2018.8437674
State	Published - Aug 15 2018
Event	2018 IEEE International Symposium on Information Theory, ISIT 2018 - Vail, United States Duration: Jun 17 2018 → Jun 22 2018

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
Volume	2018-June
ISSN (Print)	2157-8095

Conference

Conference	2018 IEEE International Symposium on Information Theory, ISIT 2018
Country/Territory	United States
City	Vail
Period	06/17/18 → 06/22/18

Bibliographical note

Funding Information:
Z. Rezki is with the Department of Electrical and Computer Engineering, University of Idaho, Moscow, ID, USA. Email: zrezki@uidaho.edu. His work is supported in part by the Qatar National Research Fund (a member of Qatar Foundation) under Grant NPRP 9-077-2-036. The statements made herein are solely the responsibility of the authors.

Funding Information:
A. Chaaban is with the School of Engineering, University of British Columbia, Kelowna, BC V1Y 1V7, Canada. Email: anas.chaaban@ubc.ca. His work was supported by the Natural Sciences and Engineering Research Council of Canada (NSERC).

Publisher Copyright:
© 2018 IEEE.

ASJC Scopus subject areas

Theoretical Computer Science
Information Systems
Applied Mathematics
Modeling and Simulation

Access to Document

10.1109/ISIT.2018.8437674

Cite this

Chaaban, A., Rezki, Z., & Alouini, M. S. (2018). MIMO Optical Intensity Channels with Peak Intensity Constraints: Low-SNR Capacity. In 2018 IEEE International Symposium on Information Theory, ISIT 2018 (pp. 1360-1364). Article 8437674 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2018-June). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2018.8437674

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title = "MIMO Optical Intensity Channels with Peak Intensity Constraints: Low-SNR Capacity",

abstract = "The capacity of the intensity-modulation direct-detection (IM-DD) multiple-input multiple-output channel is studied under average and peak intensity constraints. We focus on the low signal-to-noise ratio (SNR) regime where the constraints proportionally vanish, or alternatively, where the noise power is large. A general upper bound on the capacity of this channel is derived. Then, this bound is shown to be tight at low SNR, where it coincides with the achievable rate of (i) on-off keying (OOK), spatial repetition coding, and maximum-ratio combining under individual average constraint and (ii) OOK with maximally-correlated inputs under a sum average constraint. This leads to a low-SNR capacity characterization of the channel.",

author = "Anas Chaaban and Zouheir Rezki and Alouini, {Mohamed Slim}",

note = "Funding Information: Z. Rezki is with the Department of Electrical and Computer Engineering, University of Idaho, Moscow, ID, USA. Email: zrezki@uidaho.edu. His work is supported in part by the Qatar National Research Fund (a member of Qatar Foundation) under Grant NPRP 9-077-2-036. The statements made herein are solely the responsibility of the authors. Funding Information: A. Chaaban is with the School of Engineering, University of British Columbia, Kelowna, BC V1Y 1V7, Canada. Email: anas.chaaban@ubc.ca. His work was supported by the Natural Sciences and Engineering Research Council of Canada (NSERC). Publisher Copyright: {\textcopyright} 2018 IEEE.; 2018 IEEE International Symposium on Information Theory, ISIT 2018 ; Conference date: 17-06-2018 Through 22-06-2018",

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Chaaban, A, Rezki, Z & Alouini, MS 2018, MIMO Optical Intensity Channels with Peak Intensity Constraints: Low-SNR Capacity. in 2018 IEEE International Symposium on Information Theory, ISIT 2018., 8437674, IEEE International Symposium on Information Theory - Proceedings, vol. 2018-June, Institute of Electrical and Electronics Engineers Inc., pp. 1360-1364, 2018 IEEE International Symposium on Information Theory, ISIT 2018, Vail, United States, 06/17/18. https://doi.org/10.1109/ISIT.2018.8437674

MIMO Optical Intensity Channels with Peak Intensity Constraints: Low-SNR Capacity. / Chaaban, Anas; Rezki, Zouheir; Alouini, Mohamed Slim.
2018 IEEE International Symposium on Information Theory, ISIT 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 1360-1364 8437674 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2018-June).

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

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N1 - Funding Information: Z. Rezki is with the Department of Electrical and Computer Engineering, University of Idaho, Moscow, ID, USA. Email: zrezki@uidaho.edu. His work is supported in part by the Qatar National Research Fund (a member of Qatar Foundation) under Grant NPRP 9-077-2-036. The statements made herein are solely the responsibility of the authors. Funding Information: A. Chaaban is with the School of Engineering, University of British Columbia, Kelowna, BC V1Y 1V7, Canada. Email: anas.chaaban@ubc.ca. His work was supported by the Natural Sciences and Engineering Research Council of Canada (NSERC). Publisher Copyright: © 2018 IEEE.

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N2 - The capacity of the intensity-modulation direct-detection (IM-DD) multiple-input multiple-output channel is studied under average and peak intensity constraints. We focus on the low signal-to-noise ratio (SNR) regime where the constraints proportionally vanish, or alternatively, where the noise power is large. A general upper bound on the capacity of this channel is derived. Then, this bound is shown to be tight at low SNR, where it coincides with the achievable rate of (i) on-off keying (OOK), spatial repetition coding, and maximum-ratio combining under individual average constraint and (ii) OOK with maximally-correlated inputs under a sum average constraint. This leads to a low-SNR capacity characterization of the channel.

AB - The capacity of the intensity-modulation direct-detection (IM-DD) multiple-input multiple-output channel is studied under average and peak intensity constraints. We focus on the low signal-to-noise ratio (SNR) regime where the constraints proportionally vanish, or alternatively, where the noise power is large. A general upper bound on the capacity of this channel is derived. Then, this bound is shown to be tight at low SNR, where it coincides with the achievable rate of (i) on-off keying (OOK), spatial repetition coding, and maximum-ratio combining under individual average constraint and (ii) OOK with maximally-correlated inputs under a sum average constraint. This leads to a low-SNR capacity characterization of the channel.

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ER -

MIMO Optical Intensity Channels with Peak Intensity Constraints: Low-SNR Capacity

Abstract

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Bibliographical note

ASJC Scopus subject areas

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