Share Email Print
cover

Proceedings Paper

Norm theory of error separation and its application to harmonic distribution parameters of rolling bearing surfaces
Author(s): Xintao Xia; Xiaoyang Chen; Zhongyu Wang; Yongzhen Zhang
Format Member Price Non-Member Price
PDF $14.40 $18.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

Paper Abstract

Error separation technologies are widely used in practical engineering. Many methods such as least squares techniques, Kalman filtering, three-probe method, so on and so forth are adopted in error separation technologies. However, It has been proved that these methods above can be disturbed by the outlier of measured data and is likely to induce a biased estimation. Therefore a new method of error separation in data analysis is introduced in this paper by developing the minimum norm solution to estimation of nonlinear parameter vector. Three norms, i.e. 1-norm, 2-norm and ∞-norm, are proposed to establish the equation of error separation. As an application of this method, estimation of harmonic distribution parameters of rolling bearing raceway surfaces is studied in this paper. Experimental investigation by this method shows that the bug of least-squares method can be avoided by efficiently deadening the disturbing errors of the outlier of measuring data and the nature character of measured data can then be reflected truly, that unbiased estimate of distribution characteristics can be achieved and standard deviation through this method can then be less than that through linear least squares techniques. The feasibility of the proposed method is validated by experiments on harmonic distribution parameters of rolling bearing raceway surfaces.

Paper Details

Date Published: 24 October 2006
PDF: 7 pages
Proc. SPIE 6357, Sixth International Symposium on Instrumentation and Control Technology: Signal Analysis, Measurement Theory, Photo-Electronic Technology, and Artificial Intelligence, 63572M (24 October 2006); doi: 10.1117/12.717139
Show Author Affiliations
Xintao Xia, Shanghai Univ. (China)
Beijing Univ. of Aeronautics and Astronautics (China)
Xiaoyang Chen, Shanghai Univ. (China)
Zhongyu Wang, Beijing Univ. of Aeronautics and Astronautics (China)
Yongzhen Zhang, Henan Univ. of Science and Technology (China)


Published in SPIE Proceedings Vol. 6357:
Sixth International Symposium on Instrumentation and Control Technology: Signal Analysis, Measurement Theory, Photo-Electronic Technology, and Artificial Intelligence
Jiancheng Fang; Zhongyu Wang, Editor(s)

© SPIE. Terms of Use
Back to Top