交叉相关双路分集OAM湍流光信道接收信号模拟研究

doi:10.12263/DZXB.20210359

电子学报 ›› 2022, Vol. 50 ›› Issue (1): 18-25.DOI: 10.12263/DZXB.20210359

• 无线光通信及其组网技术 • 上一篇下一篇

交叉相关双路分集OAM湍流光信道接收信号模拟研究

熊琴琴¹^,², 陈纯毅¹^,², 于海洋¹^,², 姚海峰¹, 宋佳雪¹^,², 娄岩¹

^1.长春理工大学空地激光通信技术国防重点学科实验室，吉林长春 130022
^2.长春理工大学计算机科学技术学院，吉林长春 130022

收稿日期:2021-03-01 修回日期:2021-07-24 出版日期:2022-01-25
- 作者简介:
- 熊琴琴女，1996年出生，重庆人.硕士.毕业于长春理工大学，主要研究方向为空间激光通信.
  陈纯毅（通信作者）男，1981年出生，重庆人.博士.现为长春理工大学教授、博士生导师，主要研究方向为光传输建模与仿真. E-mail：chenchunyi@hotmail.com
  于海洋男，1989年出生，吉林长春人.博士.现为长春理工大学讲师，主要研究方向为机器学习理论与应用.
  姚海峰男，1990出生，安徽池州人.博士.毕业于长春理工大学，主要研究方向为自由空间通信、大气光信道特性以及信息安全.
  宋佳雪女，1996出生，黑龙江鹤岗人.硕士.毕业于长春理工大学，主要研究方向为无线激光通信.
  娄岩女，1981出生，吉林长春人.博士.现为长春理工大学研究员，主要研究方向为空间激光通信系统仿真.
- 基金资助:
- 国家自然科学基金 (61775022); 吉林省科技发展计划 (YDZJ202101ZYTS151C)

Study on Simulation of Two Cross-Correlated Received Signals in Turbulent OAM Optical Diversity Channels

XIONG Qin-qin¹^,², CHEN Chun-yi¹^,², YU Hai-yang¹^,², YAO Hai-feng¹, SONG Jia-xue¹^,², LOU Yan¹

^1.Key Laboratory for Defense Discipline of Space-to-Ground Laser Communication Technology, Changchun University of Science and;Technology, Changchun, Jilin 130022, China
^2.School of Computer Science and Technology, Changchun University of Science and Technology, Changchun, Jilin 130022, China

Received:2021-03-01 Revised:2021-07-24 Online:2022-01-25 Published:2022-01-25
- Supported by:
- National Natural Science Foundation of China (61775022); Science and Technology Development Project of Jilin Province (YDZJ202101ZYTS151C)

摘要/Abstract

摘要：

为了用蒙特卡洛方法评估空间分集轨道角动量（Orbital Angular Momentum，OAM）光通信系统性能，提出模拟生成无限长交叉相关双路分集OAM信道接收光信号的方法.根据推广的稀疏谱模型，生成双路交叉相关高斯随机样本序列；然后通过逆变换将上述生成的相关高斯随机样本序列映射为服从双Johnson S_B分布的随机样本序列.通过模拟实验发现，该方法生成的双路信号样本序列的统计分布与双Johnson S_B分布能很好地吻合，并且每路信号的自相关和双路信号之间的交叉相关均与所需目标值一致.该结果表明，提出的方法能够用于模拟受大气湍流扰动的空间分集OAM信道接收光信号.

关键词: 轨道角动量光通信, 空间分集, 湍流扰动光信号, 自相关, 交叉相关

Abstract:

Aiming at evaluating the performance of orbital angular momentum(OAM) optical communication systems with spatial diversity by Monte Carlo methods, we propose a method to simulate two cross-correlated received optical signals with infinite duration in OAM diversity channels. Two cross-correlated Gaussian random sample sequences are generated by use of generalized sparse spectrum model; subsequently, the Gaussian sequences are mapped into random sample sequences obeying the dual Johnson S_B distribution by the inverse transformation. It is found from simulation experiments that the statistical distribution of the two simulated signal sample sequences is in excellent agreement with the dual Johnson S_B distribution; meanwhile, the auto-correlation of each sequence and the cross-correlation between the two sequences are well consistent with the target value. The experimental results verify that the proposed method can be used to simulate the received optical signals in OAM spatial diversity channels distorted by atmospheric turbulence.

Key words: orbital angular momentum optical communication, spatial diversity, turbulence-distorted optical signals, auto-correlation, cross-correlation

中图分类号:

TN929.12

熊琴琴, 陈纯毅, 于海洋, 等. 交叉相关双路分集OAM湍流光信道接收信号模拟研究[J]. 电子学报, 2022, 50(1): 18-25.

Qin-qin XIONG, Chun-yi CHEN, Hai-yang YU, et al. Study on Simulation of Two Cross-Correlated Received Signals in Turbulent OAM Optical Diversity Channels[J]. Acta Electronica Sinica, 2022, 50(1): 18-25.

图/表 6

图1 基于SS模型的等效采样点示意图(a) SS模型在水平方向、垂直方向上的采样点网格 (b) 推广SS模型等效在时间、距离上的采样点网格

图2 基于逆变换法的交叉相关双Johnson SB分布随机样本序列生成框图

图3 δ1=0.9、γ1=1.3、δ2=0.6、γ2=1.9时的交叉相关双路OAM接收光信号示例

图4 l=ρc,d 时的交叉相关双路OAM接收光信号

图5 δ1=2.6、γ1=1.3、δ2=2.7、γ2=1.9、l=ρc,d /10时的交叉相关双路OAM接收光信号示例

图6 两组分布参数对应不同等效间隔距离时仿真信号的交叉相关系数误差棒图

参考文献 19

1	孙学宏, 李强, 庞丹旭, 等. 轨道角动量在无线通信中的研究新进展综述[J]. 电子学报, 2015, 43(11): 2305-2314.
	SUNX H, LIQ, PANGD X, et al. New research progress of the orbital angular momentum technology in wireless communication: A survey[J]. Acta Electronica Sinica, 2015, 43(11): 2305-2314. (in Chinese)
2	HUANGH, CAOY, XIEG D, et al. Crosstalk mitigation in a free-space orbital angular momentum multiplexed communication link using 4×4 MIMO equalization[J]. Optics Letters, 2014, 39(15): 4360-4363.
3	柯熙政, 宁川, 王姣. 大气湍流下轨道角动量复用态串扰分析[J]. 红外与激光工程, 2018, 47(11): 402-408.
	KEX Z, NINGC, WANGJ. Crosstalk analysis of orbital angular momentum-multiplexed state under atmospheric turbulence[J]. Infrared and Laser Engineering, 2018, 47(11): 402-408. (in Chinese)
4	TIANQ H, LIZ, HUK, et al. Turbo-coded 16-ary OAM shift keying FSO communication system combining the CNN-based adaptive demodulator[J]. Optics Express, 2018, 26(21): 27849-27864.
5	MIRHOSSEINIM, MAGANALOAIZAO S, OSULLIVANM N, et al. High-dimensional quantum cryptography with twisted light[J]. New Journal of Physics, 2015, 17(3): 033033.
6	张利宏, 沈锋, 兰斌. 涡旋光束轨道角动量在大气湍流传输下的特性分析[J]. 光电工程, 2020, 47(4):52-63.
	ZHANGL H, SHENF, LANB. Characteristic analysis of orbital angular momentum of vortex beam propagating in atmospheric turbulent[J]. Opto-Electronic Engineering, 2020, 47(4): 52-63. (in Chinese)
7	PATERSONC. Atmospheric turbulence and orbital angular momentum of single photons for optical communication[J]. Physical Review Letters, 2005, 94(15): 153901.
8	陈丹, 雷雨, 柯熙政. 无线光自适应副载波MDPSK调制系统特性分析[J]. 电子学报, 2018, 46(7): 1748-1753.
	CHEND, LEIY, KEX Z. Performance analysis of wireless optical adaptive subcarrier MDPSK modulation system[J]. Acta Electronica Sinica, 2018, 46(7): 1748-1753. (in Chinese)
9	ANDREWSL C, PHILLIPSR L. Laser Beam Propagation Through Random Media[M]. Bellingham, USA: SPIE Press, 2005.
10	FUNESG, VIALM, ANGUITAJ A. Orbital-angular-momentum crosstalk and temporal fading in a terrestrial laser link using single-mode fiber coupling[J]. Optics Express, 2015, 23(18): 23133-23142.
11	CHENC Y, YANGH M. Characterizing the statistical distribution for transmission coefficient of turbulent optical orbital-angular-momentum channels[J]. Optics Express, 2019, 27(20): 28968-28982.
12	YANGG W, KHALIGHIM, GHASSEMLOOYZ, et al. Performance evaluation of receive-diversity free-space optical communications over correlated gamma-gamma fading channels[J]. Applied optics, 2013, 52(24): 5903-5911.
13	王汝言, 王卓, 吴大鹏, 等. 基于训练序列与数据叠加的ACO-OFDM无线光通信系统时间同步方法[J]. 电子学报, 2012, 40(1): 162-166.
	WANGR Y, WANGZ, WUD P, et al. A timing synchronization method for ACO-OFDM optical wireless communications based on superposition of training and data[J]. Acta Electronica Sinica, 2012, 40(1): 162-166. (in Chinese)
14	BYKHOVSKYD. Simple generation of Gamma, Gamma-Gamma, and K distributions with exponential autocorrelation function[J]. Journal of Lightwave Technology, 2016, 34(9): 2106-2110.
15	YURAH T, HANSONS G. Digital simulation of an arbitrary stationary stochastic process by spectral representation[J]. Journal of The Optical Society of America A-Optics Image Science and Vision, 2011, 28(4): 675-685.
16	GARRIDO-BALSELLSJ M, JURADO-NAVASA, PARISJ F, et al. Spatially correlated gamma-gamma scintillation in atmospheric optical channels[J]. Optics Express, 2014, 22(18): 21820-21833.
17	YURAH T, HANSONS G. Digital simulation of two-dimensional random fields with arbitrary power spectra and non-Gaussian probability distribution functions[J]. Applied optics, 2012, 51(10): C77-C83.
18	CHARNOTSKIIM. Statistics of the sparse spectrum turbulent phase[J]. Journal of the Optical Society of America A Optics Image Science & Vision, 2013, 30(12): 2455-2465.
19	YAMAZAKIF, SHINOZUKAM. Digital generation of non‐Gaussian stochastic fields[J]. Journal of Engineering Mechanics, 1988, 14(7): 1183-1197.

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交叉相关双路分集OAM湍流光信道接收信号模拟研究

Study on Simulation of Two Cross-Correlated Received Signals in Turbulent OAM Optical Diversity Channels

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