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Sensors 2015, 15(8), 18550-18564; doi:10.3390/s150818550

Research on Parameter Estimation Methods for Alpha Stable Noise in a Laser Gyroscope’s Random Error

1
School of Instrumentation and Opto-electronics Engineering, Beihang University, No.37, Xueyuan Road, Haidian District, Beijing 100191, China
2
School of Electric and Information Engineering, Beihang University, No.37, Xueyuan Road, Haidian District, Beijing 100191, China
3
School of Automation Science and Electrical Engineering, Beihang University, No.37, Xueyuan Road, Haidian District, Beijing 100191, China
*
Author to whom correspondence should be addressed.
Academic Editor: Vittorio M.N. Passaro
Received: 16 May 2015 / Revised: 9 July 2015 / Accepted: 17 July 2015 / Published: 29 July 2015
(This article belongs to the Section Physical Sensors)
View Full-Text   |   Download PDF [1138 KB, uploaded 29 July 2015]   |  

Abstract

Alpha stable noise, determined by four parameters, has been found in the random error of a laser gyroscope. Accurate estimation of the four parameters is the key process for analyzing the properties of alpha stable noise. Three widely used estimation methods—quantile, empirical characteristic function (ECF) and logarithmic moment method—are analyzed in contrast with Monte Carlo simulation in this paper. The estimation accuracy and the application conditions of all methods, as well as the causes of poor estimation accuracy, are illustrated. Finally, the highest precision method, ECF, is applied to 27 groups of experimental data to estimate the parameters of alpha stable noise in a laser gyroscope’s random error. The cumulative probability density curve of the experimental data fitted by an alpha stable distribution is better than that by a Gaussian distribution, which verifies the existence of alpha stable noise in a laser gyroscope’s random error. View Full-Text
Keywords: laser gyroscope; alpha stable noise; parameter estimation; probability density laser gyroscope; alpha stable noise; parameter estimation; probability density
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Wang, X.; Li, K.; Gao, P.; Meng, S. Research on Parameter Estimation Methods for Alpha Stable Noise in a Laser Gyroscope’s Random Error. Sensors 2015, 15, 18550-18564.

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