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Error analysis for the Fourier domain offset estimation algorithm
Wei, Ling1,2; He, Jieling1,3; He, Yi1,2; Yang, Jinsheng1,2; Li, Xiqi1,2; Shi, Guohua1,2; Zhang, Yudong1,2
Source PublicationOPTICS COMMUNICATIONS
Volume361Pages:110-115
2016-02-15
Language英语
ISSN0030-4018
DOI10.1016/j.optcom.2015.10.043
Indexed BySCI
WOS IDWOS:000369229300020
SubtypeArticle
AbstractThe offset estimation algorithm is crucial for the accuracy of the Shack-Hartmann wave-front sensor. Recently, the Fourier Domain Offset (FDO) algorithm has been proposed for offset estimation. Similar to other algorithms, the accuracy of FDO is affected by noise such as background noise, photon noise, and 'fake' spots. However, no adequate quantitative error analysis has been performed for FDO in previous studies, which is of great importance for practical applications of the FDO. In this study, we quantitatively analysed how the estimation error of FDO is affected by noise based on theoretical deduction, numerical simulation, and experiments. The results demonstrate that the standard deviation of the wobbling error is: (1) inversely proportional to the raw signal to noise ratio, and proportional to the square of the sub aperture size in the presence of background noise; and (2) proportional to the square root of the intensity in the presence of photonic noise. Furthermore, the upper bound of the estimation error is proportional to the intensity of 'fake' spots and the sub-aperture size. The results of the simulation and experiments agreed with the theoretical analysis. (C) 2015 Elsevier B.V. All rights reserved.
KeywordError Analysis Offset Estimation Shack-hartmann Wave-front Sensor
WOS KeywordWAVE-FRONT SENSOR ; CENTROID COMPUTATION ; HARTMANN
WOS Research AreaOptics
WOS SubjectOptics
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Document Type期刊论文
Identifierhttp://ir.ioe.ac.cn/handle/181551/3842
Collection光电技术研究所被WoS收录文章
Affiliation1.Chinese Acad Sci, Key Lab Adapt Opt, Chengdu 610209, Peoples R China
2.Chinese Acad Sci, Inst Opt & Elect, Chengdu 610209, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100039, Peoples R China
Recommended Citation
GB/T 7714
Wei, Ling,He, Jieling,He, Yi,et al. Error analysis for the Fourier domain offset estimation algorithm[J]. OPTICS COMMUNICATIONS,2016,361:110-115.
APA Wei, Ling.,He, Jieling.,He, Yi.,Yang, Jinsheng.,Li, Xiqi.,...&Zhang, Yudong.(2016).Error analysis for the Fourier domain offset estimation algorithm.OPTICS COMMUNICATIONS,361,110-115.
MLA Wei, Ling,et al."Error analysis for the Fourier domain offset estimation algorithm".OPTICS COMMUNICATIONS 361(2016):110-115.
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