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Volume 42 Issue 7
Jul.  2016
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Journal of Beijing University of Aeronautics and Astronautics  > 2016  >  42(7): 1352-1360.
WANG Lixin, LI Can, JIANG Zhou, et al. Design of dynamic total variance and its fast algorithm[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(7): 1352-1360. doi: 10.13700/j.bh.1001-5965.2015.0488(in Chinese)
Citation: WANG Lixin, LI Can, JIANG Zhou, et al. Design of dynamic total variance and its fast algorithm[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(7): 1352-1360. doi: 10.13700/j.bh.1001-5965.2015.0488(in Chinese)
shu

Design of dynamic total variance and its fast algorithm

doi: 10.13700/j.bh.1001-5965.2015.0488
  • 1.

    Department of Control Science and Engineering, The Second Artillery Engineering University, Xi'an 710025, China

  • 2. School of Energy and Power Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

  • Received Date: 20 Jul 2015
  • Publish Date: 20 Jul 2016
    Abstract
  • There exist two shortcomings in Allan variance approach when it is used to analyze random error. First, the vibration of estimated value is large in long-term correlation. Second it can't follow the dynamic change of signal.This paper integrates the thought and advantage of total variance and dynamic allan variance, and proposes the dynamic total variance approach. Firstly, original data is truncated by window function. Secondly, we continue the data in the window. Then the data after continuation is analyzed by total variance, so that local random characteristic is acquired. With the window sliding, the change of random characteristic of original signal with time is obtained. Through verification, the dynamic total variance can solve the two shortcomings of Allan variance approach. Eventually, linear vibration trial of hemispherical resonator gyro(HRG) is designed to clarify this new algorithm, which indicates that dynamic total variance possesses advantages in analysis accuracy and data quantity that it used. However, this new algorithm has the problem of excessive calculation and low speed of analysis, so we derive recursive formula of it, based on which fast algorithm is provided.

     

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    • References(15)
  • [1]
    Gyro and Accelerometer Panel of the IEEE Aerospace and Electronic Systems Society.IEEE standard specification format guide and test procedure for single-axis interferometric fiber optic gyros:IEEE STD 952TM-1997[S].Piscataway,NJ:IEEE Standards Board,1998.
    [2]
    程旭维,汤霞清,黄湘远.基于#1理论方差的光学陀螺长期随机误差分析[J]. 中国激光,2014,41(10):146-153.CHENG X W,TANG X Q,HUANG X Y. Investigation on random error properties of optic gyroscope based on theoretical variance #1[J]. Chinese Journal of Lasers,2014,41(10):146-153(in Chinese).
    [3]
    HOWE D A.Thêo H:A hybrid,high-confidence statistic that improves on the Allan deviation [J].Metrologia,2006,43:322-331.
    [4]
    HOWE D A.The total deviation approach to long-term characterization of frequency stability[J].IEEE Transactions on Ultrasonic,Ferroelectrics,and Frequency Control,2000,47(5): 1102-1110.
    [5]
    RILEY W J.Techniques for frequency stability analysis[C]//IEEE International Frequency Control Symposium.Piscataway,NJ:IEEE Press,2003.
    [6]
    GALLEANI L.The dynamic Allan variance III:Confidence and detection surfaces [J].IEEE Transactions on Ultrasonics,Ferroelectrics,and Frequency Control,2011,58(8):1550-1558.
    [7]
    DOBROGOWSKI A,KASZNIA M.Real-time assessment of dynamic Allan deviation and dynamic time deviation[C]//Proceeding of the 2012 European Frequency and Time Forum.Piscataway,NJ:IEEE Press,2012:247-252.
    [8]
    GALLEANI L,TAVELLA P.The dynamic Allan variance [J].IEEE Transaction on Ultrasonics,Ferroelectrics,and Frequency Control,2009,56(3):450-460.
    [9]
    李颖.慢光光纤陀螺关键技术研究[D].哈尔滨:哈尔滨工业大学,2009.LI Y.Key techniques for the slow light fiber optic gyroscope[D].Harbin:Harbin Institute of Technology,2009(in Chinese).
    [10]
    吕琳,全伟.基于GP+GA的陀螺随机误差建模分析[J].北京航空航天大学学报,2015,41(6):1135-1140.LYU L,QUAN W.Modeling and analysis of gyroscope's random drift based on GP+GA method[J].Journal of Beijing University of Aeronautics and Astronautics,2015,41 (6):1135-1140(in Chinese).
    [11]
    祁家毅,任顺清,冯士伟,等.半球谐振陀螺随机误差分析[J].中国惯性技术学报,2009,17(1):98-101.QI J Y,REN S Q,FENG S W,et al.Random error analysis of hemispherical resonator gyro [J].Journal of Chinese Inertial Technology,2009,17(1):98-101(in Chinese).
    [12]
    韩军良,葛升民,沈毅.基于总方差方法的光纤陀螺随机误差特性研究[J].哈尔滨工业大学学报,2007,39(5):708-711.HAN J L,GE S M,SHEN Y.Research on the random error properties of FOG based on total variance[J].Journal of Harbin Institute of Technology,2007,39(5):708-711(in Chinese).
    [13]
    石国祥,陈坚,叶军,等.总方差方法在光纤陀螺随机误差分析中的应用[J].光电工程,2012,39(1):63-67.SHI G X,CHEN J,YE J,et al.Applications of total variance method in random error analysis of the fiber optic gyro signal[J].Opto-Electronic Engineering,2012,39(1):63-67(in Chinese).
    [14]
    李冀辰,高凤岐,王广龙,等.光纤陀螺振动和变温条件下的DAVAR分析[J].中国激光,2013,40(9):184-190.LI J C,GAO F Q,WANG G L,et al.Analysis of dynamic allan variance for fiber optic gyro under vibration and variable temperature conditions[J].Chinese Journal of Laser,2013,40(9):184-190(in Chinese).
    [15]
    ZHANG C X,WANG L,GAO S,et al.Dynamic Allan variance analysis for stochastic errors of fiber optic gyroscope[J].Infrared and Laser Engineering,2014,43(9):3081-3088.
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