Optimal Design of Linear Space Code for MIMO Optical Wireless Communications

In this paper, the design of linear full-diversity space code (FDSC) is considered for an intensity-modulated direct-detection multiple-input–multiple-output optical wireless communication (IM/DD MIMO-OWC) system, in which the channel suffers from log-normal fading and different links hav...

Full description

Saved in:
Bibliographic Details
Main Authors: Yan-Yu Zhang, Hong-Yi Yu, Jian-Kang Zhang, Yi-Jun Zhu
Format: Article
Language:English
Published: IEEE 2016-01-01
Series:IEEE Photonics Journal
Subjects:
Online Access:https://ieeexplore.ieee.org/document/7429678/
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1839645249451851776
author Yan-Yu Zhang
Hong-Yi Yu
Jian-Kang Zhang
Yi-Jun Zhu
author_facet Yan-Yu Zhang
Hong-Yi Yu
Jian-Kang Zhang
Yi-Jun Zhu
author_sort Yan-Yu Zhang
collection DOAJ
description In this paper, the design of linear full-diversity space code (FDSC) is considered for an intensity-modulated direct-detection multiple-input–multiple-output optical wireless communication (IM/DD MIMO-OWC) system, in which the channel suffers from log-normal fading and different links have different variances. Utilizing our recently established error performance criterion for the design of FDSC with a maximum-likelihood detector, we formulate the design problem of optimizing both large-scale diversity gain and small-scale diversity into a max–min optimization problem with continuous–discrete mixed design variables. We propose the use of the Farey sequence in number theory as a powerful tool to solve this kind of optimization problem. By taking advantage of some available properties and by developing some new interesting properties on the Farey sequence, a closed-form solution is attained for IM/DD MIMO-OWC equipped with two transmitters and multiple receivers. This optimal design shows that a repetition code with an optimal power allocation is optimal.
format Article
id doaj-art-f46c9cc8c77d41d98c3a16ad35c4dcb4
institution Matheson Library
issn 1943-0655
language English
publishDate 2016-01-01
publisher IEEE
record_format Article
series IEEE Photonics Journal
spelling doaj-art-f46c9cc8c77d41d98c3a16ad35c4dcb42025-07-01T23:05:32ZengIEEEIEEE Photonics Journal1943-06552016-01-018211210.1109/JPHOT.2016.25403597429678Optimal Design of Linear Space Code for MIMO Optical Wireless CommunicationsYan-Yu Zhang0https://orcid.org/0000-0001-8992-1719Hong-Yi Yu1Jian-Kang Zhang2Yi-Jun Zhu3Nat. Digital Switching Syst. Eng. & Technol. Res. Center, Zhengzhou, ChinaNat. Digital Switching Syst. Eng. & Technol. Res. Center, Zhengzhou, ChinaDept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, ON, CanadaNat. Digital Switching Syst. Eng. & Technol. Res. Center, Zhengzhou, ChinaIn this paper, the design of linear full-diversity space code (FDSC) is considered for an intensity-modulated direct-detection multiple-input–multiple-output optical wireless communication (IM/DD MIMO-OWC) system, in which the channel suffers from log-normal fading and different links have different variances. Utilizing our recently established error performance criterion for the design of FDSC with a maximum-likelihood detector, we formulate the design problem of optimizing both large-scale diversity gain and small-scale diversity into a max–min optimization problem with continuous–discrete mixed design variables. We propose the use of the Farey sequence in number theory as a powerful tool to solve this kind of optimization problem. By taking advantage of some available properties and by developing some new interesting properties on the Farey sequence, a closed-form solution is attained for IM/DD MIMO-OWC equipped with two transmitters and multiple receivers. This optimal design shows that a repetition code with an optimal power allocation is optimal.https://ieeexplore.ieee.org/document/7429678/Intensity modulation with direct detection (IM/DD)large-scale diversityfading channelsmaximum likelihood (ML) detectionmultiple-input-multiple-output (MIMO)optical wireless communication (OWC)
spellingShingle Yan-Yu Zhang
Hong-Yi Yu
Jian-Kang Zhang
Yi-Jun Zhu
Optimal Design of Linear Space Code for MIMO Optical Wireless Communications
IEEE Photonics Journal
Intensity modulation with direct detection (IM/DD)
large-scale diversity
fading channels
maximum likelihood (ML) detection
multiple-input-multiple-output (MIMO)
optical wireless communication (OWC)
title Optimal Design of Linear Space Code for MIMO Optical Wireless Communications
title_full Optimal Design of Linear Space Code for MIMO Optical Wireless Communications
title_fullStr Optimal Design of Linear Space Code for MIMO Optical Wireless Communications
title_full_unstemmed Optimal Design of Linear Space Code for MIMO Optical Wireless Communications
title_short Optimal Design of Linear Space Code for MIMO Optical Wireless Communications
title_sort optimal design of linear space code for mimo optical wireless communications
topic Intensity modulation with direct detection (IM/DD)
large-scale diversity
fading channels
maximum likelihood (ML) detection
multiple-input-multiple-output (MIMO)
optical wireless communication (OWC)
url https://ieeexplore.ieee.org/document/7429678/
work_keys_str_mv AT yanyuzhang optimaldesignoflinearspacecodeformimoopticalwirelesscommunications
AT hongyiyu optimaldesignoflinearspacecodeformimoopticalwirelesscommunications
AT jiankangzhang optimaldesignoflinearspacecodeformimoopticalwirelesscommunications
AT yijunzhu optimaldesignoflinearspacecodeformimoopticalwirelesscommunications