Experimental and Analytical Investigations of an Optically Pre-Amplified FSO-MIMO System With Repetition Coding Over Non-Identically Distributed Correlated Channels
This paper presents theoretical and experimental bit error rate (BER) results for a freespace optical (FSO) multiple-input-multiple-output system over an arbitrarily correlated turbulence channel. We employ an erbium-doped fiber amplifier at the receiver (Rx), which results in an improved Rx's...
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2020-01-01
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author | Richa Priyadarshani Manav R. Bhatnagar Jan Bohata Stanislav Zvanovec Zabih Ghassemlooy |
author_facet | Richa Priyadarshani Manav R. Bhatnagar Jan Bohata Stanislav Zvanovec Zabih Ghassemlooy |
author_sort | Richa Priyadarshani |
collection | DOAJ |
description | This paper presents theoretical and experimental bit error rate (BER) results for a freespace optical (FSO) multiple-input-multiple-output system over an arbitrarily correlated turbulence channel. We employ an erbium-doped fiber amplifier at the receiver (Rx), which results in an improved Rx's sensitivity at the cost of an additional non-Gaussian amplified spontaneous emission noise. Repetition coding is used to combat turbulence and to improve the BER performance of the FSO links. A mathematical framework is provided for the considered FSO system over a correlated non-identically distributed Gamma-Gamma channel; and analytical BER results are derived with and without the pre-amplifier for a comparative study. Moreover, novel closed-form expressions for the asymptotic BER are derived; a comprehensive discussion about the diversity order and coding gain is presented by performing asymptotic analysis at high signal-to-noise ratio (SNR). To verify the analytical results, an experimental set-up of a 2 x 1 FSO-multiple-input-single-output (MISO) system with pre-amplifier at the Rx is developed. It is shown analytically that, both correlation and pre-amplification do not affect the diversity order of the system, however, both factors have contrasting behaviour with respect to coding gain. Further, to achieve the target forward error correction BER limit of 3.8 × 10<sup>-3</sup>, a 2 × 1 FSO-MISO system with a pre-amplifier requires 6.5 dB lower SNR compared with the system with no pre-amplifier. Moreover, an SNR penalty of 2.5 dB is incurred at a higher correlation level for the developed 2 × 1 experimental FSO set-up, which is in agreement with the analytical findings. |
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spelling | doaj.art-fd0a56f601f141d49a6dddab73c19a802022-12-21T22:49:22ZengIEEEIEEE Access2169-35362020-01-018121881220310.1109/ACCESS.2020.29641498950179Experimental and Analytical Investigations of an Optically Pre-Amplified FSO-MIMO System With Repetition Coding Over Non-Identically Distributed Correlated ChannelsRicha Priyadarshani0https://orcid.org/0000-0002-0477-0884Manav R. Bhatnagar1https://orcid.org/0000-0003-0612-594XJan Bohata2https://orcid.org/0000-0002-3023-054XStanislav Zvanovec3https://orcid.org/0000-0002-7902-2143Zabih Ghassemlooy4https://orcid.org/0000-0002-5780-9703Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, IndiaDepartment of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, IndiaDepartment of Electromagnetic Field, Faculty of Electrical Engineering, Czech Technical University in Prague, Prague, Czech RepublicDepartment of Electromagnetic Field, Faculty of Electrical Engineering, Czech Technical University in Prague, Prague, Czech RepublicOptical Communications Research Group, Faculty of Engineering and Environment, Northumbria University, Newcastle upon Tyne, U.K.This paper presents theoretical and experimental bit error rate (BER) results for a freespace optical (FSO) multiple-input-multiple-output system over an arbitrarily correlated turbulence channel. We employ an erbium-doped fiber amplifier at the receiver (Rx), which results in an improved Rx's sensitivity at the cost of an additional non-Gaussian amplified spontaneous emission noise. Repetition coding is used to combat turbulence and to improve the BER performance of the FSO links. A mathematical framework is provided for the considered FSO system over a correlated non-identically distributed Gamma-Gamma channel; and analytical BER results are derived with and without the pre-amplifier for a comparative study. Moreover, novel closed-form expressions for the asymptotic BER are derived; a comprehensive discussion about the diversity order and coding gain is presented by performing asymptotic analysis at high signal-to-noise ratio (SNR). To verify the analytical results, an experimental set-up of a 2 x 1 FSO-multiple-input-single-output (MISO) system with pre-amplifier at the Rx is developed. It is shown analytically that, both correlation and pre-amplification do not affect the diversity order of the system, however, both factors have contrasting behaviour with respect to coding gain. Further, to achieve the target forward error correction BER limit of 3.8 × 10<sup>-3</sup>, a 2 × 1 FSO-MISO system with a pre-amplifier requires 6.5 dB lower SNR compared with the system with no pre-amplifier. Moreover, an SNR penalty of 2.5 dB is incurred at a higher correlation level for the developed 2 × 1 experimental FSO set-up, which is in agreement with the analytical findings.https://ieeexplore.ieee.org/document/8950179/Arbitrary correlationASE noisediversityexperimentalfree-space optical communicationsgamma-gamma distribution |
spellingShingle | Richa Priyadarshani Manav R. Bhatnagar Jan Bohata Stanislav Zvanovec Zabih Ghassemlooy Experimental and Analytical Investigations of an Optically Pre-Amplified FSO-MIMO System With Repetition Coding Over Non-Identically Distributed Correlated Channels IEEE Access Arbitrary correlation ASE noise diversity experimental free-space optical communications gamma-gamma distribution |
title | Experimental and Analytical Investigations of an Optically Pre-Amplified FSO-MIMO System With Repetition Coding Over Non-Identically Distributed Correlated Channels |
title_full | Experimental and Analytical Investigations of an Optically Pre-Amplified FSO-MIMO System With Repetition Coding Over Non-Identically Distributed Correlated Channels |
title_fullStr | Experimental and Analytical Investigations of an Optically Pre-Amplified FSO-MIMO System With Repetition Coding Over Non-Identically Distributed Correlated Channels |
title_full_unstemmed | Experimental and Analytical Investigations of an Optically Pre-Amplified FSO-MIMO System With Repetition Coding Over Non-Identically Distributed Correlated Channels |
title_short | Experimental and Analytical Investigations of an Optically Pre-Amplified FSO-MIMO System With Repetition Coding Over Non-Identically Distributed Correlated Channels |
title_sort | experimental and analytical investigations of an optically pre amplified fso mimo system with repetition coding over non identically distributed correlated channels |
topic | Arbitrary correlation ASE noise diversity experimental free-space optical communications gamma-gamma distribution |
url | https://ieeexplore.ieee.org/document/8950179/ |
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