On the Optimality of Repetition Coding among Rate-1 DC-offset STBCs for MIMO Optical Wireless Communications

Handle URI:
http://hdl.handle.net/10754/624894
Title:
On the Optimality of Repetition Coding among Rate-1 DC-offset STBCs for MIMO Optical Wireless Communications
Authors:
Sapenov, Yerzhan ( 0000-0001-8996-222X ) ; Chaaban, Anas ( 0000-0002-8713-5084 ) ; Rezki, Zouheir; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
In this paper, an optical wireless multiple-input multiple-output communication system employing intensity-modulation direct-detection is considered. The performance of direct current offset space-time block codes (DC-STBC) is studied in terms of pairwise error probability (PEP). It is shown that among the class of DC-STBCs, the worst case PEP corresponding to the minimum distance between two codewords is minimized by repetition coding (RC), under both electrical and optical individual power constraints. It follows that among all DC-STBCs, RC is optimal in terms of worst-case PEP for static channels and also for varying channels under any turbulence statistics. This result agrees with previously published numerical results showing the superiority of RC in such systems. It also agrees with previously published analytic results on this topic under log-normal turbulence and further extends it to arbitrary turbulence statistics. This shows the redundancy of the time-dimension of the DC-STBC in this system. This result is further extended to sum power constraints with static and turbulent channels, where it is also shown that the time dimension is redundant, and the optimal DC-STBC has a spatial beamforming structure. Numerical results are provided to demonstrate the difference in performance for systems with different numbers of receiving apertures and different throughput.
KAUST Department:
CEMSE Division
Issue Date:
6-Jul-2017
Type:
Technical Report
Appears in Collections:
Technical Reports

Full metadata record

DC FieldValue Language
dc.contributor.authorSapenov, Yerzhanen
dc.contributor.authorChaaban, Anasen
dc.contributor.authorRezki, Zouheiren
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2017-07-06T06:11:58Z-
dc.date.available2017-06-11T07:51:06Z-
dc.date.available2017-07-06T06:11:58Z-
dc.date.issued2017-07-06-
dc.identifier.urihttp://hdl.handle.net/10754/624894-
dc.description.abstractIn this paper, an optical wireless multiple-input multiple-output communication system employing intensity-modulation direct-detection is considered. The performance of direct current offset space-time block codes (DC-STBC) is studied in terms of pairwise error probability (PEP). It is shown that among the class of DC-STBCs, the worst case PEP corresponding to the minimum distance between two codewords is minimized by repetition coding (RC), under both electrical and optical individual power constraints. It follows that among all DC-STBCs, RC is optimal in terms of worst-case PEP for static channels and also for varying channels under any turbulence statistics. This result agrees with previously published numerical results showing the superiority of RC in such systems. It also agrees with previously published analytic results on this topic under log-normal turbulence and further extends it to arbitrary turbulence statistics. This shows the redundancy of the time-dimension of the DC-STBC in this system. This result is further extended to sum power constraints with static and turbulent channels, where it is also shown that the time dimension is redundant, and the optimal DC-STBC has a spatial beamforming structure. Numerical results are provided to demonstrate the difference in performance for systems with different numbers of receiving apertures and different throughput.en
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleOn the Optimality of Repetition Coding among Rate-1 DC-offset STBCs for MIMO Optical Wireless Communicationsen
dc.typeTechnical Reporten
dc.contributor.departmentCEMSE Divisionen
dc.contributor.institutionECE Department, University of Idaho, Moscow, ID, USAen

Version History

VersionItem Editor Date Summary
2 10754/624894grenzdm2017-07-06 06:10:03.249Updated version received from Anas Chaaban.
1 10754/624894.1chaabaa2017-06-11 07:51:06.0
This item is licensed under a Creative Commons License
Creative Commons
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.