Performance study of an enhanced fully optical generalized spatial modulation free-space optical&#x00A0;system based on serial unmanned aerial vehicle&#x00A0;relay

Xuewen Jiang; Xuewen Jiang; Yi Wang; Yi Wang; Wangyue Lu; Wangyue Lu

doi:10.1364/AO.499325

Applied Optics
Vol. 62,
Issue 26,
pp. 6899-6910
(2023)
•https://doi.org/10.1364/AO.499325

Performance study of an enhanced fully optical generalized spatial modulation free-space optical system based on serial unmanned aerial vehicle relay

Xuewen Jiang, Yi Wang, and Wangyue Lu

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Xuewen Jiang, Yi Wang, and Wangyue Lu, "Performance study of an enhanced fully optical generalized spatial modulation free-space optical system based on serial unmanned aerial vehicle relay," Appl. Opt. 62, 6899-6910 (2023)

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Abstract

This paper proposes an enhanced fully optical generalized spatial modulation (EFOGSM) free-space optical (FSO) system based on serial unmanned aerial vehicle (UAV) relaying under M distribution. The relay transmission mode of the system is decode-and-forward (DF), and two spatial diversity receiving schemes were considered at the receiver of the system. In the atmospheric channel modeling, the angle of arrival (AoA) jitter was introduced to represent the effect of UAV random jitter in the air on the channel, together with three important factors: path loss, pointing error, and atmospheric turbulence. Under the joint influence of the four fading factors, the probability density function expression of the joint fading channel under the new M distribution was derived, and the upper bound of the average bit error rate of the serial UAV-relaying EFOGSM FSO system was derived. The influence of key factors, such as the number of UAV relay nodes, the position distance of UAV, the field of view parameters of the receiver, the direction deviation, and the data transmission rate on the system performance, was analyzed by simulation under weak and strong turbulence. Monte Carlo simulation verified the correctness of the numerical calculation and simulation. This study provides a good theoretical basis for the engineering implementation of a serial UAV relay EFOGSM FSO system.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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System Parameters	Symbol	Value	System Parameters	Symbol	Value
Laser wavelength	$λ$	1550 nm	Link distance per hop	$d$	1000 m
Weak turbulence positive parameter	$α$	8.4604	Weak turbulence fading parameters	$β$	7
Strong turbulence positive parameter	$α$	5.8758	Strong turbulence fading parameters	$β$	1
Path loss	$h_{l}$	0.937	Beam bandwidth	$w_{z} / r$	25
Photoelectric conversion efficiency	$ω$	0.9	Jitter error	$δ_{s} / r$	3
Angle of field of view	$ϖ_{F o V}$	5 mrad	Deviation of directivity	$σ_{o}$	1.2 mrad
Dispersed power	$η$	0.5	Average power of the LOS component	$Ω$	0.5
Noise variance at D	$σ_{d}^{2}$	$2.5 \times 10^{- 14}$	Noise variance at R	$σ_{r}^{2}$	$2.5 \times 10^{- 14}$
Difference between the determined phase of LOS and coupled-to-LOS scattering term	$ϕ_{A} - ϕ_{B}$	$π / 2$	Average power of the total scatter component	$2 b_{0}$	0.5
Ground position deviation	$δ_{p, g}$	0.1 m	UAV position deviation	$δ_{p, u}$	0.1 m

$ϖ_{F o V}$	2 mrad	3 mrad	4 mrad	5 mrad
$S N R = 10 d B$	0.442126	$6.358 \times 10^{- 4}$	$1.035 \times 10^{- 5}$	$1.032 \times 10^{- 5}$
$S N R = 30 d B$	0.442126	$6.358 \times 10^{- 4}$	$3.861 \times 10^{- 7}$	$4.909 \times 10^{- 10}$
$S N R = 50 d B$	0.442126	$6.358 \times 10^{- 4}$	$3.812 \times 10^{- 7}$	$1.871 \times 10^{- 13}$

System Parameters	Symbol	Value	System Parameters	Symbol	Value
Laser wavelength	$λ$	1550 nm	Link distance per hop	$d$	1000 m
Weak turbulence positive parameter	$α$	8.4604	Weak turbulence fading parameters	$β$	7
Strong turbulence positive parameter	$α$	5.8758	Strong turbulence fading parameters	$β$	1
Path loss	$h_{l}$	0.937	Beam bandwidth	$w_{z} / r$	25
Photoelectric conversion efficiency	$ω$	0.9	Jitter error	$δ_{s} / r$	3
Angle of field of view	$ϖ_{F o V}$	5 mrad	Deviation of directivity	$σ_{o}$	1.2 mrad
Dispersed power	$η$	0.5	Average power of the LOS component	$Ω$	0.5
Noise variance at D	$σ_{d}^{2}$	$2.5 \times 10^{- 14}$	Noise variance at R	$σ_{r}^{2}$	$2.5 \times 10^{- 14}$
Difference between the determined phase of LOS and coupled-to-LOS scattering term	$ϕ_{A} - ϕ_{B}$	$π / 2$	Average power of the total scatter component	$2 b_{0}$	0.5
Ground position deviation	$δ_{p, g}$	0.1 m	UAV position deviation	$δ_{p, u}$	0.1 m

$ϖ_{F o V}$	2 mrad	3 mrad	4 mrad	5 mrad
$S N R = 10 d B$	0.442126	$6.358 \times 10^{- 4}$	$1.035 \times 10^{- 5}$	$1.032 \times 10^{- 5}$
$S N R = 30 d B$	0.442126	$6.358 \times 10^{- 4}$	$3.861 \times 10^{- 7}$	$4.909 \times 10^{- 10}$
$S N R = 50 d B$	0.442126	$6.358 \times 10^{- 4}$	$3.812 \times 10^{- 7}$	$1.871 \times 10^{- 13}$

Abstract

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Applied Optics