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...
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2016-01-01
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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 |
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institution | Matheson Library |
issn | 1943-0655 |
language | English |
publishDate | 2016-01-01 |
publisher | IEEE |
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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 |