Low-SNR Capacity of MIMO Optical Intensity Channels

Handle URI:
http://hdl.handle.net/10754/625543
Title:
Low-SNR Capacity of MIMO Optical Intensity Channels
Authors:
Chaaban, Anas ( 0000-0002-8713-5084 ) ; Rezki, Zouheir; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
The capacity of the multiple-input multiple-output (MIMO) optical intensity channel is studied, under both average and peak intensity constraints. We focus on low SNR, which can be modeled as the scenario where both constraints proportionally vanish, or where the peak constraint is held constant while the average constraint vanishes. A capacity upper bound is derived, and is shown to be tight at low SNR under both scenarios. The capacity achieving input distribution at low SNR is shown to be a maximally-correlated vector-binary input distribution. Consequently, the low-SNR capacity of the channel is characterized. As a byproduct, it is shown that for a channel with peak intensity constraints only, or with peak intensity constraints and individual (per aperture) average intensity constraints, a simple scheme composed of coded on-off keying, spatial repetition, and maximum-ratio combining is optimal at low SNR.
KAUST Department:
CEMSE
Issue Date:
18-Sep-2017
Type:
Technical Report
Appears in Collections:
Technical Reports

Full metadata record

DC FieldValue Language
dc.contributor.authorChaaban, Anasen
dc.contributor.authorRezki, Zouheiren
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2017-10-03T08:07:57Z-
dc.date.available2017-10-03T08:07:57Z-
dc.date.issued2017-09-18-
dc.identifier.urihttp://hdl.handle.net/10754/625543-
dc.description.abstractThe capacity of the multiple-input multiple-output (MIMO) optical intensity channel is studied, under both average and peak intensity constraints. We focus on low SNR, which can be modeled as the scenario where both constraints proportionally vanish, or where the peak constraint is held constant while the average constraint vanishes. A capacity upper bound is derived, and is shown to be tight at low SNR under both scenarios. The capacity achieving input distribution at low SNR is shown to be a maximally-correlated vector-binary input distribution. Consequently, the low-SNR capacity of the channel is characterized. As a byproduct, it is shown that for a channel with peak intensity constraints only, or with peak intensity constraints and individual (per aperture) average intensity constraints, a simple scheme composed of coded on-off keying, spatial repetition, and maximum-ratio combining is optimal at low SNR.en
dc.titleLow-SNR Capacity of MIMO Optical Intensity Channelsen
dc.typeTechnical Reporten
dc.contributor.departmentCEMSEen
dc.contributor.institutionECE Department, University of Idaho, Moscow, ID, USAen
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