大气联合效应下的光差分空间调制性能分析

doi:10.11959/j.issn.1000-436x.2023117

通信学报 ›› 2023, Vol. 44 ›› Issue (6): 57-69.doi: 10.11959/j.issn.1000-436x.2023117

大气联合效应下的光差分空间调制性能分析

赵辉¹^,², 李进¹^,², 马薇雯¹^,², 邓文超¹^,², 张天骐¹^,², 刘媛妮³

¹ 重庆邮电大学通信与信息工程学院，重庆 400065
² 信号与信息处理重庆市重点实验室，重庆 400065
³ 重庆邮电大学网络空间安全与信息法学院，重庆 400065

修回日期:2023-06-12 出版日期:2023-06-25 发布日期:2023-06-01
作者简介:赵辉（1980- ），女，黑龙江哈尔滨人，博士，重庆邮电大学教授、博士生导师，主要研究方向为信号与信息处理、空间光通信等
李进（1998- ），男，山东菏泽人，重庆邮电大学硕士生，主要研究方向为无线光通信理论与技术等
马薇雯（1998- ），女，湖南常德人，重庆邮电大学硕士生，主要研究方向为无线光通信理论与技术等
邓文超（1997- ），男，河南周口人，重庆邮电大学硕士生，主要研究方向为无线光通信、轨道角动量等
张天骐（1971- ），男，四川眉山人，博士，重庆邮电大学教授、博士生导师，主要研究方向为盲信号识别、无线通信的智能信号处理等
刘媛妮（1982- ），女，河南邓州人，博士，重庆邮电大学副教授、硕士生导师，主要研究方向为网络空间安全
基金资助:
国家自然科学基金资助项目(12104078);重庆市自然科学基金资助项目(cstc2021jcyj-msxmX0836);四川省重点研发计划基金资助项目(2022YFG0022)

Performance analysis of optical differential spatial modulation over atmospheric joint effect

Hui ZHAO¹^,², Jin LI¹^,², Weiwen MA¹^,², Wenchao DENG¹^,², Tianqi ZHANG¹^,², Yuanni LIU³

¹ School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
² Chongqing Key Laboratory of Signal and Information Processing, Chongqing 400065, China
³ School of Cyber Security and Information Law, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Revised:2023-06-12 Online:2023-06-25 Published:2023-06-01
Supported by:
The National Natural Science Foundation of China(12104078);The Natural Science Foundation of Chongqing(cstc2021jcyj-msxmX0836);The Key Research and Development Program of Sichuan Province(2022YFG0022)

摘要/Abstract

摘要：

传统光空间调制技术均是以系统接收端能够获取精确的信道状态信息为前提的。光差分空间调制（ODSM）系统有效避免了复杂的信道估计，但相关研究只分析了单一湍流状态下的系统性能，且忽略了实际自由空间光通信系统中指向误差和路径损耗等因素的影响。基于此，采用可以表征所有大气湍流状态的 Málaga 湍流信道，推导了 ODSM 系统在大气湍流、指向误差和路径损耗等大气联合效应下的误码率上界表达式与分集阶数。分析结果表明，相较于其他光空间调制方案，ODSM系统避免了复杂的信道估计，使系统不再受信道估计误差的影响，具备更高的抗干扰性和稳定性；ODSM 系统误码性能随着湍流强度和指向误差强度的增大而减小；ODSM系统能够通过优化光学天线数量、光电探测器数量和调制信号阶数等参数，进一步提升系统的误码性能。

关键词: 自由空间光通信, 光差分空间调制, Málaga湍流, 指向误差, 误码率

Abstract:

Traditional optical spatial modulation techniques all rely on the premise that the system receiving end can obtain accurate channel state information.The optical differential spatial modulation (ODSM) system effectively avoids complex channel estimation, but related research only analyzes the system performance under a single turbulent state, and ignores the effects of factors such as pointing errors and path loss in actual free space optical communication systems.Therefore, the Málaga turbulence channel, which could characterize all atmospheric turbulence states, was used to derive the upper bound expression and diversity order of the bit error rate of the ODSM system under the atmospheric joint effect such as turbulence, pointing error, and path loss.The analysis results show that compared with other optical spatial modulation schemes, the ODSM system avoids complex channel estimation, making the system no longer affected by channel estimation errors, thus possessing higher anti-interference and stability.The bit error rate performance of the ODSM system decreases as the intensity of turbulence and pointing error increase.By optimizing parameters such as the number of optical antennas, the number of photodetectors, and the modulation signal order, the bit error rate performance of the ODSM system can be further improved.

Key words: free space optical communication, optical differential spatial modulation, Málaga turbulence, pointing error, bit error rate

中图分类号:

TN929.12

赵辉, 李进, 马薇雯, 邓文超, 张天骐, 刘媛妮. 大气联合效应下的光差分空间调制性能分析[J]. 通信学报, 2023, 44(6): 57-69.

Hui ZHAO, Jin LI, Weiwen MA, Wenchao DENG, Tianqi ZHANG, Yuanni LIU. Performance analysis of optical differential spatial modulation over atmospheric joint effect[J]. Journal on Communications, 2023, 44(6): 57-69.

图/表 10

图1

表1

ODSM系统映射矩阵Xt(Nt=2,4-PAM)"

输入比特	天线索引	映射矩阵 $X_{t}$
000	(1,2)	$[\begin{matrix} ρ_{1} & 0 \\ 0 & ρ_{1} \end{matrix}]$
001	(1,2)	$[\begin{matrix} ρ_{2} & 0 \\ 0 & ρ_{2} \end{matrix}]$
010	(1,2)	$[\begin{matrix} ρ_{3} & 0 \\ 0 & ρ_{3} \end{matrix}]$
011	(1,2)	$[\begin{matrix} ρ_{4} & 0 \\ 0 & ρ_{4} \end{matrix}]$
100	(2,1)	$[\begin{matrix} 0 & ρ_{1} \\ ρ_{1} & 0 \end{matrix}]$
101	(2,1)	$[\begin{matrix} 0 & ρ_{2} \\ ρ_{2} & 0 \end{matrix}]$
110	(2,1)	$[\begin{matrix} 0 & ρ_{3} \\ ρ_{3} & 0 \end{matrix}]$
111	(2,1)	$[\begin{matrix} 0 & ρ_{4} \\ ρ_{4} & 0 \end{matrix}]$

表1

表2

系统仿真参数"

参数	数值
波长λ/nm	785
FSOC链路长度L/km	1
光束发散角θ/mrad	2
$ϕ_{A} - ϕ_{B}$	$\frac{π}{2}$
光电转换率R_e	0.5
发射孔径/cm	20
接收孔径/cm	7.5
总散射分量的平均功率2b₀	0.215 8
视距分量的光信号平均功率Ω	1.326 5
耦合到视距分量的散射功率量?	0.597 6

表2

表3

不同方案的传输速率"

方案	传输速率/bpcu
OSSK	$R_{OSSK} = lb N_{t}$
OSM	$R_{OSM} = lb N_{t} + l b M$
OGSM	$R_{OGSM} = ⌊ l b C (N_{t}, N_{a}) ⌋ + N_{a} l b M$
OIQSM	$R_{OIQSM} = 2 ⌊ lb C (N_{t}, 2) ⌋ + 2 l b M$
ODSM	$R_{ODSM} = ⌊ l b (N_{t}!) ⌋ + l b M$

表3

图2

图3

图4

图5

图6

图7

参考文献 22

[1]	KHALIGHI M A , UYSAL M . Survey on free space optical communication:a communication theory perspective[J]. IEEE Communications Surveys ＆ Tutorials, 2014,16(4): 2231-2258.
[2]	WEN M W , ZHENG B X , KIM K J ,et al. A survey on spatial modulation in emerging wireless systems:research progresses and applications[J]. IEEE Journal on Selected Areas in Communications, 2019,37(9): 1949-1972.
[3]	毛一聪, 王惠琴, 张悦 ,等. 光空间调制技术的研究进展[J]. 光电工程, 2020,47(3): 190712.
	MAO Y C , WANG H Q , ZHANG Y ,et al. Research progress of optical spatial modulation technology[J. Opto-Electronic Engineering, 2020,47(3): 190712.
[4]	张悦, 王惠琴, 曹明华 ,等. 无线光通信中的增强型光空间调制[J]. 光学学报, 2020,40(3): 0306001.
	ZHANG Y , WANG H Q , CAO M H ,et al. Enhanced optical spatial modulation in wireless optical communication[J. Acta Optica Sinica, 2020,40(3): 0306001.
[5]	?ZBILGIN T , KOCA M . Optical spatial modulation over atmospheric turbulence channels[J]. Journal of Lightwave Technology, 2015,33(11): 2313-2323.
[6]	JAISWAL A , BHATNAGAR M R , JAIN V K . Performance of optical space shift keying over Gamma-Gamma fading with pointing error[J]. IEEE Photonics Journal, 2017,9(2): 1-16.
[7]	KEHINDE O , ODEYEMI P , VIRANJAY M S . Performance analysis of free space optical system with spatial modulation and diversity combiners over the Gamma-Gamma atmospheric turbulence[J]. Optics Communications, 2017,382: 205-211.
[8]	YU S Y , GENG C , ZHONG J ,et al. Performance analysis of optical spatial modulation over a correlated Gamma-Gamma turbulence channel[J]. Applied Optics, 2022,61(8): 2025-2035.
[9]	BHOWAL A , KSHETRIMAYUM R S . Advanced optical spatial modulation techniques for FSO communication[J]. IEEE Transactions on Communications, 2020,69(2): 1163-1174.
[10]	王惠琴, 杨顺信, 张悦 ,等. 大气激光通信中的完全光广义空间调制[J]. 光学学报, 2020,40(13): 1301001.
	WANG H Q , YANG S X , ZHANG Y ,et al. Fully optical generalized spatial modulation in atmospheric laser communication[J. Acta Optica Sinica, 2020,40(13): 1301001.
[11]	JAISWAL A , BHATNAGAR M R , SONI P ,et al. Differential optical spatial modulation over atmospheric turbulence[J]. IEEE Journal of Selected Topics in Signal Processing, 2019,13(6): 1417-1432.
[12]	WANG H Q , MAO Y C , ZHANG Y ,et al. Differential optical spatial modulation with pulse position modulation over atmospheric turbulence[J]. Optical Engineering, 2020,59(9): 096109.
[13]	PAUL P , BHATNAGAR M , JAISWAL A . Jamming in free space optical systems:mitigation and performance evaluation[J]. IEEE Transactions on Communications, 2020,68: 1631-1647.
[14]	FARID A A , HRANILOVIC S . Outage capacity optimization for free-space optical links with pointing errors[J]. Journal of Light wave Technology, 2007,25(7): 1702-1710.
[15]	ANSARI I S , YILMAZ F , ALOUINI M S . Performance analysis of free-space optical links over málaga turbulence channels with pointing errors[J]. IEEE Transactions on Wireless Communications, 2016,15(1): 91-102.
[16]	GRADSHTEYN I S , RYZHIK I M . Table of integrals,series,and products[M]. San Diego: Academic Press, 1980.
[17]	BHOWAL A , KSHETRIMAYUM R S . Advanced spatial modulation systems[M]. Singapore: Springer Singapore, 2021.
[18]	BHATNAGAR M R , GHASSEMLOOY Z . Performance analysis of Gamma-Gamma fading FSO MIMO links with pointing errors[J]. Journal of Lightwave Technology, 2016,34(9): 2158-2169.
[19]	WILLEBRAND H , GHUMAN B S . Free space optics:enabling optical connectivity in today’s networks[M]. Indianapolis: SAMS Publishing, 2002.
[20]	JURADO-NAVAS A , MARIA J , FRANCISCO J ,et al. A unifying statistical model for atmospheric optical scintillation[J]. Numerical simulations of physical and engineering processes, 2011,181(8): 181-205.
[21]	PAPOULIS A , PILLAI S U . Probability,random variables,and stochastic processes[M]. Boston: McGraw-Hill, 2002.
[22]	PRUDNIKOV A P , BRYCHKOV Y A , MARICHEV O I ,et al. Integrals and series[M]. New York: Gordon and Breach, 1990.

大气联合效应下的光差分空间调制性能分析

Performance analysis of optical differential spatial modulation over atmospheric joint effect

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