动态Allan方差的理论改进及其应用研究

张娜; 李绪友

doi:doi:10.3788/aos201131.1106003

光学学报, 2011, 31 (11): 1106003, 网络出版: 2011-10-21

动态Allan方差的理论改进及其应用研究

Research on Theoretical Improvement of Dynamic Allan Variance and Its Application

论文大纲

张娜 ^*李绪友

作者单位

哈尔滨工程大学自动化学院, 黑龙江哈尔滨 150001

摘要

动态Allan方差(DAVAR)法是一种分析非平稳性信号的有效工具，但在辨识噪声时存在功率泄漏和定量表示单一的缺陷。为此，提出窗函数组合法和噪声量值的二维表示法对其加以改进，用于分析和定量描述光纤陀螺动态误差中的各种噪声项。窗函数组合法在光纤陀螺动态误差分解的基础上采用矩形窗和汉宁窗分别对其中的中低频噪声和高频噪声进行分析。噪声量值的二维表示法即根据DAVAR原理得到噪声量值随采样点数目增加的变化规律。实验结果证明窗函数组合法可以满足不同频段噪声的辨识要求，减小功率泄漏；噪声量值的二维表示法可以准确地反映出动态误差中各噪声项的变化特征。

Abstract

The dynamic Allan variance (DAVAR) is an effective method for analyzing non-stationary signal. However, it has defects such as power leakage and single quantification in noise identification. Therefore, window function combination method and two-dimensional expression of noise value are introduced for their improvements. They are used for analysis and quantitative measurement of various noise terms in the fiber optic gyroscope dynamic error. Based on the dynamic error resolution of fiber optic gyroscope, rectangular window and Hanning window are applied to analyze low and intermediate frequency noise and high-frequency noise, respectively. According to the principle of DAVAR, the noise variation laws with the numbers of sampling point are obtained, namely, the two-dimensional expression of noise value. The experimental results indicate that window function combination method satisfies the identification requirements of noise in different frequency ranges and reduces power leakage; moreover, the changing characteristics of every noise item in the dynamic error are accurately reflected by the two-dimensional expression of noise value.

参考文献

[1] L. Galleani, P. Tavella. The characterization of clock behavior with the dynamic Allan variance［C］. Proc. IEEE FCS-EFTF, 2003, 239～244

[2] L. Galleani, P. Tavella. Tracking nonstationarities in clock noises using the dynamic Allan variance ［ C ］. Proc. Joint FCS-PTTI Meeting, 2005, 392～396

[3] L. Galleani, P. Tavella. Interpretation of the dynamic Allan variance of nonstationary clock data［C］. Proc. IEEE FCS-EFTF, 2007, 992～997

[4] L. Galleani, P. Tavella. The dynamic Allan variance ［J］. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2009, 56(3): 450～464

[5] L. Galleani, P. Tavella. Fast computation of the dynamic Allan variance［C］. Proc. IEEE FCS-EFTF, 2009, 685～687

[6] L. Galleani. The dynamic Allan variance II: a fast computational algorithm［J］. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2010, 57(1): 182～188

[7] I. Sesia, L. Galleani, P. Tavella. Application of the dynamic Allan variance for the characterization of space clock behavior［J］. IEEE Transactions on Aerospace and Electronic Systems, 2011, 47(2): 884～895

[8] 李颖, 陈兴林, 宋申民. 光纤陀螺漂移误差动态Allan方差分析［J］. 光电子·激光, 2008, 19(2): 183～186

Li Ying, Chen Xinglin, Song Shenmin. Dynamic Allan variance analysis for the drift error of fiber optic gyroscope［J］. J. Optoelectronics·Laser, 2008, 19(2): 183～186

[9] 魏国, 龙兴武. 基于动态Allan方差的机抖激光陀螺随机误差研究［J］. 中国激光, 2010, 37(12): 2975～2979

Wei Guo, Long Xingwu. Research on stochastic errors of dithered ring laser gyroscope based on dynamic Allan variance［J］. Chinese J. Lasers, 2010, 37(12): 2975～2979

[10] 李绪友, 张娜. 基于动态Allan方差的光纤陀螺动态特性分析［J］. 哈尔滨工程大学学报, 2011, 32(2): 183～187

Li Xuyou, Zhang Na. Analysis of dynamic characteristics of a fiber optic gyroscope based on dynamic Allan variance［J］. J. Harbin Engineering University, 2011, 32(2): 183～187

[11] 杨艳娟. 窗函数的适用性分析［J］. 煤炭技术, 2007, 26(2): 124～125

Yang Yanjuan. Service ability analysis of windowed function［J］. Coal Technology, 2007, 26(2): 124～125

[12] 李迪, 孙尧, 李绪友等. 船用光纤陀螺随机漂移分析与研究［J］. 中国航海, 2005, 62(1): 35～37

Li Di, Sun Yao, Li Xuyou et al.. Research and analysis of marine FOG random drift［J］. Navigation of China, 2005, 62(1): 35～37

[13] 党淑雯, 田蔚风, 钱峰. 基于提升小波的光纤陀螺分形噪声滤除方法［J］. 中国激光, 2009, 36(3): 625～629

Dang Shuwen, Tian Weifeng, Qian Feng. De-noising fractional noise in fiber optic gyroscopes based on lifting wavelet［J］. Chinese J. Lasers, 2009, 36(3): 625～629

[14] 李家垒, 许化龙, 何婧. 光纤陀螺静态温度漂移的小波网络建模［J］. 中国激光, 2010, 37(12): 2980～2985

Li Jialei, Xu Hualong, He Jing. Modeling of static temperature drift for fiber optic gyroscope based on wavelet network [J]. Chinese J. Lasers, 2010, 37(12): 2980～2985

[15] 李家垒, 许化龙, 何婧. 光纤陀螺信号的小波包去噪及改进［J］. 光学学报, 2010, 30(8): 2224～2228

Li Jialei, Xu Hualong, He Jing. Research and improvement of denoising method of fiber optic gyroscope based on wavelet packet analysis［J］. Acta Optica Sinica, 2010, 30(8): 2224～2228

[16] Li Xuyou, Zhang Na, Gao Wei et al.. Application of wavelet analysis in testing of dynamic characteristics of fiber optic gyroscope［C］. Symposium Gyro Technology, 2009, 5.1～5.13

张娜, 李绪友. 动态Allan方差的理论改进及其应用研究[J]. 光学学报, 2011, 31(11): 1106003. Zhang Na, Li Xuyou. Research on Theoretical Improvement of Dynamic Allan Variance and Its Application[J]. Acta Optica Sinica, 2011, 31(11): 1106003.

动态Allan方差的理论改进及其应用研究

关于本站 Cookie 的使用提示

全站搜索

动态Allan方差的理论改进及其应用研究

相关论文

相关资讯

关于本站 Cookie 的使用提示

全站搜索