Abstract
An effective de-noising method for fiber optic gyroscopes (FOGs) is proposed. This method is based on second-generation Daubechies D4 (DB4) wavelet transform (WT) and level-dependent threshold estimator called Stein’s unbiased risk estimator (SURE). The whole approach consists of three critical parts: wavelet decomposition module, parameters estimation module and SURE de-noising module. First, DB4 wavelet is selected as lifting base of the second-generation wavelet in the decomposition module. Second, in the parameters estimation module, maximum likelihood estimation (MLE) is used for stochastic noise parameters estimation. Third, combined with soft threshold de-noising technique, the SURE de-noising module is designed. For comparison, both the traditional universal threshold wavelet and the second-generation Harr wavelet method are also investigated. The experiment results show that the computation cost is 40% less than that of the traditional wavelet method. The standard deviation of de-noised FOG signal is 0.012 and the three noise terms such as angle random walk, bias instability and quantization noise are reduced to 0.007 2° /ℴh, 0.004 1° / h, and 0.008 1°, respectively.
Similar content being viewed by others
References
Vali V, Shorthill R W. Fiber Ring Interferometer [J]. Applied Optics, 1976, 15(5): 1099–1100.
Donoho D, Johnstone I. Ideal Spatial Adaptation Wavelet Shrinkage [J]. Biometrika, 1994, 81: 424–455.
Qi Yingxin, Gao Xiaoping, Yuan Ruiming. New Method for Eliminating Signal Zero Drift of Fiber Optic Gyro [J]. Journal of Transducer Technology, 2003, 22(10): 57–59(Ch).
Yuan Ruiming, Wei Xihua, Li Ziyi, et al. De-Noising Algorithm for Signal in FOG Based on Wavelet Filtering Using Threshold Value [J]. Journal of Chinese Inertial Technology, 2003, 11(5): 43–47(Ch).
Gao Y K, Deng Z L. Extraction of FOG Signal from Fractal Noise[C]// Proceedings of the 2003 International Conference on Neural Networks and Signal Processing. Nanjing: IEEE Press, 2003: 768–771.
Zhang Chuanbin, Wang Xuexiao, Deng Zhenglong. Study on Eliminating 1/f γ Noises from Fiber Optic Gyro Based on Wavelet Analysis [J]. System Engineering and Electronics, 2002, 24(4): 64–66(Ch).
Dang Shuwen, Tian Weifeng, Jin Zhihua. Elimination of 1/f γ Fractal Noise from Fiber Optic Gyro Based on Lifting Wavelet [J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2008, 28(6): 53–55(Ch).
Mandelbrot B B, van Ness J W. Fractional Brownian Motions, Fractional Noises and Applications [J]. SIAM Rev, 1968, 10(4): 422–437.
Wornell G W, Oppenleim A V. Estimation of Fractal from Noisy Measurements Using Wavelet [J]. IEEE Trans Signal Processing, 1992, 40(3): 611–623.
Laird N M. Maximum Likelihood from Incomplete Data via the EM Algorithm [J]. Royal Stat Soc Ser B, 1977, 39: 1–38.
Wornell G W. Signal Processing with Fractals: A Wavelet Based Approach [M]. Englewood Cliffs: Prentice-Hall, 1995: 59–94.
Donoho D L. De-noising by Soft-Thresholding [J]. IEEE Trans on IT, 1995, IT-41(3): 612–627.
Stein C. Estimation of the Mean of a Multivariate Normal Distribution[J]. Ann Statistics, 1981, 9: 1135–1151.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: Supported by the Aerospace Science and Technology Innovation Foundation of China (2006)
Biography: DANG Shuwen (1980–), female, Ph. D. candidate, research direction: inertial navigation technique and nonlinear filtering.
Rights and permissions
About this article
Cite this article
Dang, S., Tian, W. & Jin, Z. De-noising stochastic noise in FOG based on second-generation DB4 wavelet and SURE-threshold. Wuhan Univ. J. Nat. Sci. 14, 494–498 (2009). https://doi.org/10.1007/s11859-009-0607-9
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11859-009-0607-9
Key words
- second-generation wavelet
- stochastic noise
- fiber optic gyroscope (FOG)
- Stein’s unbiased risk estimator (SURE)
- soft threshold