噪声对大气痕量气体分布重建的影响

大气与环境光学学报 ›› 2017, Vol. 12 ›› Issue (5): 371-376.

噪声对大气痕量气体分布重建的影响

韦民红，李素文，朱旋，窦德召，邵芬

( 淮北师范大学物理与电子信息学院，安徽淮北 235000)

收稿日期:2016-09-22 修回日期:2016-11-04 出版日期:2017-09-28 发布日期:2017-09-21
通讯作者: 韦民红(1978－)，女，安徽淮北人，博士，副教授, 主要从事控制工程、光学检测技术方面的研究。 E-mail:mhwei2005@163.com
作者简介:韦民红(1978－)，女，安徽淮北人，博士，副教授, 主要从事控制工程、光学检测技术方面的研究。
基金资助:
Supported by General Project of National Natural Science Foundation of China (国家自然科学基金面上项目, 41275027 ), Natural Science Research Foundation of Education Bureau of Anhui Province, China (安徽高校省级自然科学研究重点项目, KJ2015A069)

Influence of Noise on Atmospheric Trace Gas Distribution Reconstruction

WEI Minhong, LI Suwen, Zhu Xuan, DOU Dezhao, SHAO Fen

（School of Physics and Electronic Information, Huaibei Normal University, Huaibei 235000, China）

Received:2016-09-22 Revised:2016-11-04 Published:2017-09-28 Online:2017-09-21
About author:韦民红(1978－)，女，安徽淮北人，博士，副教授, 主要从事控制工程、光学检测技术方面的研究。
Supported by:
Supported by General Project of National Natural Science Foundation of China (国家自然科学基金面上项目, 41275027 ), Natural Science Research Foundation of Education Bureau of Anhui Province, China (安徽高校省级自然科学研究重点项目, KJ2015A069)

摘要/Abstract

摘要：

针对大气痕量气体浓度的二维分布重建中的噪声问题，采用数值模拟的方法研究了噪声对差分吸收光谱断层扫描技术重构大气痕量气体空间分布的影响，建立了噪声的模型，并研究了噪声对代数迭代重建算法(ART)和联合迭代重建算法(SIRT)两种重建算法的重建效果的影响，ART算法重建后，误差Ea 由0.1080降低到了0.0182; SIRT算法重建后误差Ea 由0.0476降低到了0.0102。结果表明，随着随机噪声的增加，重建图像变态程度越来越严重。由重建相对误差指标可以看出，随着信噪比的增加，重建相对误差越来越小。因此，在外场重建试验中应该尽量避免噪声。

关键词: 噪声, 气体分布, 重建

Abstract:

For the noise problem of two-dimensional concentration distribution reconstruction of trace gases in the atmosphere, the method of numerical simulation is adopted to study the influence of noise on the spatial distribution reconstruction of atmospheric trace gases by the differential absorption spectrum tomography. The noise model is established, the algebraic iterative reconstruction algorithm (ART) and simultaneous iterative reconstruction algorithm (SIRT) are researched, and the influence of noise on the reconstruction effects of the two kinds of reconstruction algorithm is also researched respectively. The error index Ea can be reduced from 0.1080 to 0.0182 by reconstruction of ART algorithm, and the error index Ea can be reduced from 0.0476 to 0.0102 by reconstruction of SIRT algorithm. The results show that with the increase of random noise, the abnormal degree of reconstruction image is more and more serious. From the relative error indicators of reconstruction, with the increase of signal-to-noise ratio, reconstruction of relative error is smaller and smaller. Therefore, noise should try to be avoided in field reconstruction experiment.

Key words: noise, gas distribution, reconstruction

中图分类号:

O433.5

韦民红李素文朱旋窦德召邵芬. 噪声对大气痕量气体分布重建的影响[J]. 大气与环境光学学报, 2017, 12(5): 371-376.

WEI Min-Gong, LI Su-Wen, ZHU Xuan, DOU De-Zhao, SHAO Fen. Influence of Noise on Atmospheric Trace Gas Distribution Reconstruction[J]. Journal of Atmospheric and Environmental Optics, 2017, 12(5): 371-376.

参考文献

[1] Wei Minhong, Tong Minming, Li Suwen, et al. MAX-DOAS tomography reconstruction for gas plume [J]. Spectroscopy and Spectral Analysis, 2015, 35(8): 2252-2256(in Chinese).
韦民红, 童敏明, 李素文, 等. 多轴差分吸收光谱断层扫描重建烟羽空间分布 [J]. 光谱学与光谱分析, 2015, 35(8): 2252-2256.
[2] Emanuel K. Increasing destructiveness of tropical cyclones over the past 30 years [J]. Nature, 2005, 436(7051): 686-688.
[3] Wan X, Yu SL, Cai GY, et al. Three-dimensional plasma field reconstruction with multiobjective optimization emission spectral tomography [J]. J. Opt. Soc. Am. A., 2004, 21(7): 1161-1171.
[4] Liu Xiangyuan, Li Yujie, Qian Xianmei, et al. Numerical simulation and analysis of beam wander and spot radius for sodium laser beacon [J]. Journal of Atmospheric and Environmental Optics, 2015, 10(5): 357-367(in Chinese).
刘向远, 李玉杰, 钱仙妹, 等. 激光钠信标光斑漂移和光斑半径的数值模拟与分析 [J]. 大气与环境光学学报, 2015, 10(5): 357-367.
[5] Wei M H, Tong M M, Li S W. Reconstruction of smoke plume concentration peaks based on modified MAX-DOAS tomography [J]. Chin. J. Chem. Phys., 2015, 28(6): 688-694.
[6] Yang Ye. Research on Image Reconstruction from Incomplete and Noisy Projection Data in CT [D]. Guangzhou: Master’s Thesis of South China University of Technology, 2013(in Chinese).
杨烨. 噪声环境下CT不完全投影数据重建算法研究 [D]. 广州: 华南理工大学硕士论文, 2013.
[7]Wei M S, Tong M M, Hao J F, et al. Detection of coal dust in a mine using optical tomography [J]. Int. J. Mining Sci. Technol., 2012, 22(4): 523–527.
[8] Wei Minhong, Tong Minming, Wei Mingsheng, et al. Detection of the atmospheric pollutant by using passive DOAS [J]. Journal of Safety and Environment, 2013, 13(3): 167-170(in Chinese).
韦民红, 童敏明, 魏明生, 等. 被动DOAS/CT在大气污染气体监测中的应用 [J]. 安全与环境学报, 2013, 13(3): 167-170.
[9] Li S W, Xie P H, Wei M H, et al. Benzene and toluene levels measured with DOAS during vehicular restrictions in Beijing [J]. Chin. J. Chem. Phys, 2015, 28(1): 119-122.
[10] Si Fuqi, Xie Pinhua, Liu Yu, et al. Determination of plume by hyperspectral imaging differential optical absorption spectroscopy [J]. Acta Optica Sinica, 2009, 29(9): 2458-2462(in Chinese).
司福祺, 谢品华, 刘宇, 等. 超光谱成像差分吸收光谱系统烟羽测量研究 [J]. 光学学报, 2009, 29(9): 2458-2462.