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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Main Authors: Richa Priyadarshani, Manav R. Bhatnagar, Jan Bohata, Stanislav Zvanovec, Zabih Ghassemlooy
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8950179/
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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 &#x00D7; 10<sup>-3</sup>, a 2 &#x00D7; 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 &#x00D7; 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 &#x00D7; 10<sup>-3</sup>, a 2 &#x00D7; 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 &#x00D7; 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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AT manavrbhatnagar experimentalandanalyticalinvestigationsofanopticallypreamplifiedfsomimosystemwithrepetitioncodingovernonidenticallydistributedcorrelatedchannels
AT janbohata experimentalandanalyticalinvestigationsofanopticallypreamplifiedfsomimosystemwithrepetitioncodingovernonidenticallydistributedcorrelatedchannels
AT stanislavzvanovec experimentalandanalyticalinvestigationsofanopticallypreamplifiedfsomimosystemwithrepetitioncodingovernonidenticallydistributedcorrelatedchannels
AT zabihghassemlooy experimentalandanalyticalinvestigationsofanopticallypreamplifiedfsomimosystemwithrepetitioncodingovernonidenticallydistributedcorrelatedchannels