A novel method to identify the fractal scaling region for vibration signal
Du Biqiang1 , Jia Ziwen1 , Tang Guiji1
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1. North China Electric Power University, Baoding Hebei Province 071003
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History+
Received
Revised
Published
2012-11-09
2013-01-20
2013-07-25
Issue Date
2013-07-25
Abstract
In order to obtain more accurate correlation dimension for vibration signal, a novel fractal scaling region identification method is proposed. First, the method processes the circle fitting and treats the tangent’s slope as the slope of each point on the double logarithm correlation integral curve. As a result, a slope variation curve is got. Second, based on the linearity judgment and significance test associated with the whole slope variation curve, regions with high linearity and correlation are kept. Final, region with the least variance is regarded as the fractal scaling region for vibration signal. The whole identification process can be automatically implemented without manual intervention, preventing the effect of subjectivity on the results of the fractal scaling region and the correlation dimension. The correlation dimension of the Lorenz attractor and various measured vibration signals were calculated using the proposed method. Results verify the effectiveness and accuracy of our proposed method for vibration signal.
Du Biqiang;Jia Ziwen;Tang Guiji.
A novel method to identify the fractal scaling region for vibration signal[J]. Journal of Vibration and Shock, 2013, 32(14): 40-45
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