Comparison of Random Error Analysis Methods for Fiber Optic Gyro Based on Allan Variance

Du Xiao Jing; Zeng Chun; Li Huai Jian

doi:doi:10.11648/j.sd.20170505.22

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Comparison of Random Error Analysis Methods for Fiber Optic Gyro Based on Allan Variance

Du Xiao Jing, Zeng Chun, Li Huai Jian

Published in Science Discovery (Volume 5, Issue 5)

Received: 12 September 2017 Accepted: Published: 14 September 2017

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Abstract

It is an effective method to improve the performance of inertial instrument and the accuracy of inertial navigation system by analyzing the random drift of FOG (Fiber Optic Gyro). Allan variance FOG random error analysis method, through analyze and compare Allan variance of the original data, you can correctly evaluate the gyroscope performance indicators. In this paper, we introduce the several different random error analysis method of FOG based on Allan variance, and analyze the different Allan variance of the same group by writing the program, and more, compare the three common quantities of the FOG random error model. The results show that the modified Allan variance method obviously takes a lot of time in the processing time, but the "2^k" Allan variance law is calculated more quickly. In the processing effect, the modified Allan variance method can get better calculation results. In general, the "k" Allan variance method and the smooth Allan variance method are more balanced in the computational time and the computational effect. Several Allan variance methods can effectively identify the random error components of FOG, in the actual situation, according to different conditions of use to choose the appropriate treatment.

Published in	Science Discovery (Volume 5, Issue 5)
DOI	10.11648/j.sd.20170505.22
Page(s)	375-379
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Fiber Optic Gyro, Random Error Model, Allan Variance Eethod

References

[1]	Howe D A, Allan D W, Barnes J A. Properties of signal sources and measurement methods [C]//Thirty Fifth Annual Frequency Control Symposium 1981, 27-29 May 1981: Electron. Ind. Assoc, 1981. 1-47.
[2]	金毅，吴训忠，谢聂．基于Allan方差的光纤陀螺随机漂移建模与仿真[J].应用光学，2014,(03): 547-551。
[3]	米月琴，李汉舟．基于Allan方差的典型应用[J].机电技术，2016, (01):20-22。
[4]	宋凝芳，张中刚，李立京，金靖．光纤陀螺随机游走系数的分析研究[J].中国惯性技术学报，2004,(04): 36-40。
[5]	L H. The fiber optic gyroscope [J]. London: Artech House, 1993.
[6]	IEEE Std 952-1997. IEEE Standard Specification Format Guide and Test Procedure for Single Axis Interferometric Fiber Optic Gyros [J]. 1997.
[7]	GJB-2426-95.光纤陀螺仪测试方法[J].1995。
[8]	GJB 2426A-2004.光纤陀螺仪测试方法[J].2004。
[9]	祝树生，任建新，张安峰．光纤陀螺随机游走分析方法研究[J].应用光学，2009,(06):1003-1006。
[10]	Allan D W, Barnes J A. A modified 'Allan variance' with increased oscillator characterization ability [C]//Thirty Fifth Annual Frequency Control Symposium 1981, 27-29 May 1981: Electron. Ind. Assoc., 1981. 470-475.
[11]	张谦，王玮，王蕾，高鹏宇．基于动态Allan方差的光纤陀螺随机误差分析及算法改进[J].光学学报，2015,(04): 65-71。

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APA Style

Du Xiao Jing, Zeng Chun, Li Huai Jian. (2017). Comparison of Random Error Analysis Methods for Fiber Optic Gyro Based on Allan Variance. Science Discovery, 5(5), 375-379. https://doi.org/10.11648/j.sd.20170505.22

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ACS Style

Du Xiao Jing; Zeng Chun; Li Huai Jian. Comparison of Random Error Analysis Methods for Fiber Optic Gyro Based on Allan Variance. Sci. Discov. 2017, 5(5), 375-379. doi: 10.11648/j.sd.20170505.22

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AMA Style

Du Xiao Jing, Zeng Chun, Li Huai Jian. Comparison of Random Error Analysis Methods for Fiber Optic Gyro Based on Allan Variance. Sci Discov. 2017;5(5):375-379. doi: 10.11648/j.sd.20170505.22

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@article{10.11648/j.sd.20170505.22,
  author = {Du Xiao Jing and Zeng Chun and Li Huai Jian},
  title = {Comparison of Random Error Analysis Methods for Fiber Optic Gyro Based on Allan Variance},
  journal = {Science Discovery},
  volume = {5},
  number = {5},
  pages = {375-379},
  doi = {10.11648/j.sd.20170505.22},
  url = {https://doi.org/10.11648/j.sd.20170505.22},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sd.20170505.22},
  abstract = {It is an effective method to improve the performance of inertial instrument and the accuracy of inertial navigation system by analyzing the random drift of FOG (Fiber Optic Gyro). Allan variance FOG random error analysis method, through analyze and compare Allan variance of the original data, you can correctly evaluate the gyroscope performance indicators. In this paper, we introduce the several different random error analysis method of FOG based on Allan variance, and analyze the different Allan variance of the same group by writing the program, and more, compare the three common quantities of the FOG random error model. The results show that the modified Allan variance method obviously takes a lot of time in the processing time, but the "2k" Allan variance law is calculated more quickly. In the processing effect, the modified Allan variance method can get better calculation results. In general, the "k" Allan variance method and the smooth Allan variance method are more balanced in the computational time and the computational effect. Several Allan variance methods can effectively identify the random error components of FOG, in the actual situation, according to different conditions of use to choose the appropriate treatment.},
 year = {2017}
}

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TY  - JOUR
T1  - Comparison of Random Error Analysis Methods for Fiber Optic Gyro Based on Allan Variance
AU  - Du Xiao Jing
AU  - Zeng Chun
AU  - Li Huai Jian
Y1  - 2017/09/14
PY  - 2017
N1  - https://doi.org/10.11648/j.sd.20170505.22
DO  - 10.11648/j.sd.20170505.22
T2  - Science Discovery
JF  - Science Discovery
JO  - Science Discovery
SP  - 375
EP  - 379
PB  - Science Publishing Group
SN  - 2331-0650
UR  - https://doi.org/10.11648/j.sd.20170505.22
AB  - It is an effective method to improve the performance of inertial instrument and the accuracy of inertial navigation system by analyzing the random drift of FOG (Fiber Optic Gyro). Allan variance FOG random error analysis method, through analyze and compare Allan variance of the original data, you can correctly evaluate the gyroscope performance indicators. In this paper, we introduce the several different random error analysis method of FOG based on Allan variance, and analyze the different Allan variance of the same group by writing the program, and more, compare the three common quantities of the FOG random error model. The results show that the modified Allan variance method obviously takes a lot of time in the processing time, but the "2k" Allan variance law is calculated more quickly. In the processing effect, the modified Allan variance method can get better calculation results. In general, the "k" Allan variance method and the smooth Allan variance method are more balanced in the computational time and the computational effect. Several Allan variance methods can effectively identify the random error components of FOG, in the actual situation, according to different conditions of use to choose the appropriate treatment.
VL  - 5
IS  - 5
ER  -

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Author Information

Du Xiao Jing

School of Aerospace Engineering, Beijing Institute of Technology, Beijing, China
Zeng Chun

School of Aerospace Engineering, Beijing Institute of Technology, Beijing, China
Li Huai Jian

School of Aerospace Engineering, Beijing Institute of Technology, Beijing, China

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Plain Text BibTeX RIS

APA Style

Du Xiao Jing, Zeng Chun, Li Huai Jian. (2017). Comparison of Random Error Analysis Methods for Fiber Optic Gyro Based on Allan Variance. Science Discovery, 5(5), 375-379. https://doi.org/10.11648/j.sd.20170505.22

Copy | Download

ACS Style

Du Xiao Jing; Zeng Chun; Li Huai Jian. Comparison of Random Error Analysis Methods for Fiber Optic Gyro Based on Allan Variance. Sci. Discov. 2017, 5(5), 375-379. doi: 10.11648/j.sd.20170505.22

Copy | Download

AMA Style

Du Xiao Jing, Zeng Chun, Li Huai Jian. Comparison of Random Error Analysis Methods for Fiber Optic Gyro Based on Allan Variance. Sci Discov. 2017;5(5):375-379. doi: 10.11648/j.sd.20170505.22

Copy | Download

@article{10.11648/j.sd.20170505.22,
  author = {Du Xiao Jing and Zeng Chun and Li Huai Jian},
  title = {Comparison of Random Error Analysis Methods for Fiber Optic Gyro Based on Allan Variance},
  journal = {Science Discovery},
  volume = {5},
  number = {5},
  pages = {375-379},
  doi = {10.11648/j.sd.20170505.22},
  url = {https://doi.org/10.11648/j.sd.20170505.22},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sd.20170505.22},
  abstract = {It is an effective method to improve the performance of inertial instrument and the accuracy of inertial navigation system by analyzing the random drift of FOG (Fiber Optic Gyro). Allan variance FOG random error analysis method, through analyze and compare Allan variance of the original data, you can correctly evaluate the gyroscope performance indicators. In this paper, we introduce the several different random error analysis method of FOG based on Allan variance, and analyze the different Allan variance of the same group by writing the program, and more, compare the three common quantities of the FOG random error model. The results show that the modified Allan variance method obviously takes a lot of time in the processing time, but the "2k" Allan variance law is calculated more quickly. In the processing effect, the modified Allan variance method can get better calculation results. In general, the "k" Allan variance method and the smooth Allan variance method are more balanced in the computational time and the computational effect. Several Allan variance methods can effectively identify the random error components of FOG, in the actual situation, according to different conditions of use to choose the appropriate treatment.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Comparison of Random Error Analysis Methods for Fiber Optic Gyro Based on Allan Variance
AU  - Du Xiao Jing
AU  - Zeng Chun
AU  - Li Huai Jian
Y1  - 2017/09/14
PY  - 2017
N1  - https://doi.org/10.11648/j.sd.20170505.22
DO  - 10.11648/j.sd.20170505.22
T2  - Science Discovery
JF  - Science Discovery
JO  - Science Discovery
SP  - 375
EP  - 379
PB  - Science Publishing Group
SN  - 2331-0650
UR  - https://doi.org/10.11648/j.sd.20170505.22
AB  - It is an effective method to improve the performance of inertial instrument and the accuracy of inertial navigation system by analyzing the random drift of FOG (Fiber Optic Gyro). Allan variance FOG random error analysis method, through analyze and compare Allan variance of the original data, you can correctly evaluate the gyroscope performance indicators. In this paper, we introduce the several different random error analysis method of FOG based on Allan variance, and analyze the different Allan variance of the same group by writing the program, and more, compare the three common quantities of the FOG random error model. The results show that the modified Allan variance method obviously takes a lot of time in the processing time, but the "2k" Allan variance law is calculated more quickly. In the processing effect, the modified Allan variance method can get better calculation results. In general, the "k" Allan variance method and the smooth Allan variance method are more balanced in the computational time and the computational effect. Several Allan variance methods can effectively identify the random error components of FOG, in the actual situation, according to different conditions of use to choose the appropriate treatment.
VL  - 5
IS  - 5
ER  -

Copy | Download