Pre-whitening filter of fractal noise in fiber optic gyroscope
-
摘要: 光纤陀螺分形噪声往往具有长相关特性,导致陀螺输出信号慢漂移.为了滤除这类分形噪声,提出了一种分数阶预白化差分方法,通过该方法可以将分形噪声转化为高斯白噪声;利用小波变换,在小波变换域中采用Bayes软阈值去噪方法去除该白化噪声,从而形成了一种光纤陀螺分形噪声的预白化滤波方法.对VG949p型光纤陀螺实测数据处理结果表明,该方法能够有效地去除其中的分形噪声,抑制了陀螺低频漂移,同时也滤掉了其高频噪声项.Abstract: Fractal noise in fiber optic gyroscope (FOG) usually is long-term dependent, which causes FOG a rather slow drift. In order to filter this noise, a pre-whitening filter based on fractional difference (FD) was proposed. By this filter, fractal noise could be transformed into Gaussian white noise (GWN). And through wavelet analysis, the pre-whitening noise could be eliminated by Bayes soft-threshold denoising in wavelet domain. On the two aforementioned steps, it came into a pre-whitening filter method of fractal noise. After the test data processing of FOG-VG949p, the results show that its fractal noise was removed efficiently, so the slow drift is restrained. The high frequency noise terms of FOG also greatly decrease.
-
Key words:
- fiber optic gyroscope (FOG) /
- random errors /
- difference equations /
- wavelet analysis
-
[1] Skaloud J,Bruton A M,Schwarz K P.Detection and filtering of short-term (1/fγ) noise in inertial sensors[J].Journal of the Institute of Navigation,1999,46(2):97-107 [2] Han Junliang,Ge Shengmin,Shen Yi,et al.Modeling and simulation of digital closed-loop fiber optic gyroscope //Proceedings of the 6th World Congress on Intelligent Control and Automation.Dalian:IEEE,2006:1659-1663 [3] Torre K,Delignières D,Lemoine L.Detection of long-range dependence and estimation of fractal exponents through ARFIMA modeling[J].British Journal of Mathematical and Statistical Psychology,2007,60:85-106 [4] Gao Yukai,Deng Zhenglong.Extraction of FOG signal from fractal noise //Proceedings of the 2003 International Conference on Neural Networks and Signal Processing.Nanjing:IEEE,2003:768-771 [5] 武华伍,任章.光纤陀螺中分形噪声的参数估计和去除[J].北京航空航天大学学报,2008,34(6):630-633 Wu Huawu,Ren Zhang.Parameter estimation and elimination to fractal noise of fiber optic gyro[J].Journal of Beijing University of Aeronautics and Astronautics,2008,34(6):630-633(in Chinese) [6] 杨福生.小波变换的工程分析与应用[M].北京:科学出版社,2003:217-241 Yang Fusheng.Engineering analysis and application of wavelet transform[M].Beijing:Science Industry Press,2003:217-241(in Chinese) [7] 陈彦辉,谢维信.随机分形信号参数的分数差分估计[J].电子与信息学报,2001,23(1):9-15. Chen Yanhui,Xie Weixin.Fractional difference estimationfor the parameters of random fractal signal[J].Journal of Electronics and Information Technology,2001,23(1):9-15(in Chinese) [8] Deriche M,Tewfik A H.Maximum likelihood estimation of the parameters of discrete fractionally differenced Gaussian noise process[J].IEEE Transactions on Signal Processing,1993,41(10):2977-2989 [9] Rao R,Lee S,Bayraktar E,et al.Signal processing models for discrete-time self-similar and multifractal processes //The thirty-seventh Asilomar Conference on Signals Systems and Computers.California:IEEE,2003,1:8-12 [10] Xie Chi,Yang Ni.Analysis and empirical research on thelong-memory property of exchange rate time series //International conference on wireless communications,networking and mobile computing.Shanghai:IEEE,2007:5911-5914 [11] Jin Xiu,Yao Jin.Empirical study of ARFIMA model based on fractional differencing[J].Physica A,2007,377:138-154 [12] 成礼智,王红霞,罗永.小波的理论与应用[M].北京:科学出版社,2004:269-286 Cheng Lizhi,Wang Hongxia,Luo Yong.The theory and application of wavelet[M].Beijing:Science Press,2004:269-286(in Chinese)
点击查看大图
计量
- 文章访问数: 3998
- HTML全文浏览量: 210
- PDF下载量: 889
- 被引次数: 0