Differential Chaos Shift Keying for FSO Systems: A Novel Approach Under Turbulence and Boresight Pointing Errors

In the last two decades, chaos-based signals have achieved much popularity due to their useful waveform properties such as non-periodicity, wide-band nature, and robustness against eavesdropping by intruders. In this paper, we utilize differential chaos shift keying (DCSK) for free space optical (FS...

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Main Authors: Gyan Deep Verma, Aashish Mathur, Manav R. Bhatnagar
Format: Article
Language:English
Published: IEEE 2024-01-01
Series:IEEE Open Journal of the Communications Society
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Online Access:https://ieeexplore.ieee.org/document/10529195/
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author Gyan Deep Verma
Aashish Mathur
Manav R. Bhatnagar
author_facet Gyan Deep Verma
Aashish Mathur
Manav R. Bhatnagar
author_sort Gyan Deep Verma
collection DOAJ
description In the last two decades, chaos-based signals have achieved much popularity due to their useful waveform properties such as non-periodicity, wide-band nature, and robustness against eavesdropping by intruders. In this paper, we utilize differential chaos shift keying (DCSK) for free space optical (FSO) communication systems to improve their performance under the combined influence of atmospheric turbulence (AT) and non-zero boresight pointing errors (PEs). We employ the generalized Malaga distribution for modeling the channel gain under all turbulence regimes from weak to strong. Moreover, we utilize the modified Rayleigh distribution to incorporate the effect of jitter and boresight PEs. The computation of the exact average bit error rate (ABER) expression for the proposed FSO system using DCSK is quite tedious. Therefore, we propose two approximations for ABER of the proposed system which show a tight match with the exact analysis and are also valid for the homodyne detection (HMD), heterodyne detection (HD), and intensity modulation/direct detection (IM/DD) techniques. We also observe the impact of different AT parameters <inline-formula> <tex-math notation="LaTeX">$(\alpha,\beta)$ </tex-math></inline-formula>, spreading factor <inline-formula> <tex-math notation="LaTeX">$(M)$ </tex-math></inline-formula>, and non-zero boresight PE parameters <inline-formula> <tex-math notation="LaTeX">$(k_{x},k_{y})$ </tex-math></inline-formula> on the ABER performance of the DCSK-based FSO system. Further, we derive asymptotic ABER expression to obtain insightful observations into the FSO system performance. We also compare the ABER performance of the proposed DCSK-based FSO system with an FSO system employing, correlation delay shift keying (CDSK), binary phase shift keying (BPSK), and code division multiple access (CDMA). We also derive the generalized ergodic capacity (EC) for the considered FSO communication system and show the effect of the spreading factor and boresight on the EC of the DCSK FSO communication system. We derive closed form expression of the average secrecy capacity (ASC) under the combined effect of AT and nonzero boresight PEs for the considered DCSK FSO system.
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spelling doaj-art-781c8892ddfc43338ab10bad5f6ed92f2025-01-08T00:01:54ZengIEEEIEEE Open Journal of the Communications Society2644-125X2024-01-0153263327610.1109/OJCOMS.2024.340003410529195Differential Chaos Shift Keying for FSO Systems: A Novel Approach Under Turbulence and Boresight Pointing ErrorsGyan Deep Verma0Aashish Mathur1https://orcid.org/0000-0003-1269-855XManav R. Bhatnagar2https://orcid.org/0000-0003-0612-594XDepartment of Electrical Engineering, Indian Institute of Technology Jodhpur, Jodhpur, IndiaDepartment of Electrical Engineering, Indian Institute of Technology Jodhpur, Jodhpur, IndiaDepartment of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, IndiaIn the last two decades, chaos-based signals have achieved much popularity due to their useful waveform properties such as non-periodicity, wide-band nature, and robustness against eavesdropping by intruders. In this paper, we utilize differential chaos shift keying (DCSK) for free space optical (FSO) communication systems to improve their performance under the combined influence of atmospheric turbulence (AT) and non-zero boresight pointing errors (PEs). We employ the generalized Malaga distribution for modeling the channel gain under all turbulence regimes from weak to strong. Moreover, we utilize the modified Rayleigh distribution to incorporate the effect of jitter and boresight PEs. The computation of the exact average bit error rate (ABER) expression for the proposed FSO system using DCSK is quite tedious. Therefore, we propose two approximations for ABER of the proposed system which show a tight match with the exact analysis and are also valid for the homodyne detection (HMD), heterodyne detection (HD), and intensity modulation/direct detection (IM/DD) techniques. We also observe the impact of different AT parameters <inline-formula> <tex-math notation="LaTeX">$(\alpha,\beta)$ </tex-math></inline-formula>, spreading factor <inline-formula> <tex-math notation="LaTeX">$(M)$ </tex-math></inline-formula>, and non-zero boresight PE parameters <inline-formula> <tex-math notation="LaTeX">$(k_{x},k_{y})$ </tex-math></inline-formula> on the ABER performance of the DCSK-based FSO system. Further, we derive asymptotic ABER expression to obtain insightful observations into the FSO system performance. We also compare the ABER performance of the proposed DCSK-based FSO system with an FSO system employing, correlation delay shift keying (CDSK), binary phase shift keying (BPSK), and code division multiple access (CDMA). We also derive the generalized ergodic capacity (EC) for the considered FSO communication system and show the effect of the spreading factor and boresight on the EC of the DCSK FSO communication system. We derive closed form expression of the average secrecy capacity (ASC) under the combined effect of AT and nonzero boresight PEs for the considered DCSK FSO system.https://ieeexplore.ieee.org/document/10529195/Differential chaos shift keying (DCSK)ergodic capacity (EC)free space optical (FSO)atmospheric turbulence (AT)non-zero boresightpointing errors (PEs)
spellingShingle Gyan Deep Verma
Aashish Mathur
Manav R. Bhatnagar
Differential Chaos Shift Keying for FSO Systems: A Novel Approach Under Turbulence and Boresight Pointing Errors
IEEE Open Journal of the Communications Society
Differential chaos shift keying (DCSK)
ergodic capacity (EC)
free space optical (FSO)
atmospheric turbulence (AT)
non-zero boresight
pointing errors (PEs)
title Differential Chaos Shift Keying for FSO Systems: A Novel Approach Under Turbulence and Boresight Pointing Errors
title_full Differential Chaos Shift Keying for FSO Systems: A Novel Approach Under Turbulence and Boresight Pointing Errors
title_fullStr Differential Chaos Shift Keying for FSO Systems: A Novel Approach Under Turbulence and Boresight Pointing Errors
title_full_unstemmed Differential Chaos Shift Keying for FSO Systems: A Novel Approach Under Turbulence and Boresight Pointing Errors
title_short Differential Chaos Shift Keying for FSO Systems: A Novel Approach Under Turbulence and Boresight Pointing Errors
title_sort differential chaos shift keying for fso systems a novel approach under turbulence and boresight pointing errors
topic Differential chaos shift keying (DCSK)
ergodic capacity (EC)
free space optical (FSO)
atmospheric turbulence (AT)
non-zero boresight
pointing errors (PEs)
url https://ieeexplore.ieee.org/document/10529195/
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AT aashishmathur differentialchaosshiftkeyingforfsosystemsanovelapproachunderturbulenceandboresightpointingerrors
AT manavrbhatnagar differentialchaosshiftkeyingforfsosystemsanovelapproachunderturbulenceandboresightpointingerrors