Many processes are characterized by their oscillating or cyclic time behavior. This holds for rotating machines or alternating currents. The resulting signals are then periodic signals or contain periodic parts. It can be used for fault detection of rotating machines. In this paper, we studied the periodic time series of the superposition of two oscillations from the multifractal point of view. The wavelet transform modulus maxima method was used for the singularity spectrum computations. The results show that the width and the peak position of the singularity spectrum changed significantly when the amplitude, frequency, or the phase difference changed. So, the width and the peak position of the singularity spectrum can be used as a new measure for periodic signals.
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January 2015
Research-Article
Wavelet-Based Multifractal Analysis to Periodic Time Series
Changzheng Chen,
Changzheng Chen
1
School of Mechanical Engineering,
Shenyang University of Technology
,Shenyang 110023
, China
1Corresponding author.
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Zhong Wang,
Zhong Wang
School of Mechanical Engineering,
Shenyang University of Technology
,Shenyang 110023
, China
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Yi Gou,
Yi Gou
School of Mechanical Engineering,
Shenyang University of Technology
,Shenyang 110023
, China
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Xinguang Zhao,
Xinguang Zhao
School of Mechanical Engineering,
Shenyang University of Technology
,Shenyang 110023
, China
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Hailing Miao
Hailing Miao
School of Science,
Shenyang University of Technology
,Shenyang 110023
, China
;Xiamen XGMA Machinery Co., Ltd.
,Xiamen 361023
, China
Search for other works by this author on:
Changzheng Chen
School of Mechanical Engineering,
Shenyang University of Technology
,Shenyang 110023
, China
Zhong Wang
School of Mechanical Engineering,
Shenyang University of Technology
,Shenyang 110023
, China
Yi Gou
School of Mechanical Engineering,
Shenyang University of Technology
,Shenyang 110023
, China
Xinguang Zhao
School of Mechanical Engineering,
Shenyang University of Technology
,Shenyang 110023
, China
Hailing Miao
School of Science,
Shenyang University of Technology
,Shenyang 110023
, China
;Xiamen XGMA Machinery Co., Ltd.
,Xiamen 361023
, China
1Corresponding author.
Manuscript received May 17, 2013; final manuscript received April 18, 2014; published online September 12, 2014. Assoc. Editor: D. Dane Quinn.
J. Comput. Nonlinear Dynam. Jan 2015, 10(1): 011006 (4 pages)
Published Online: September 12, 2014
Article history
Received:
May 17, 2013
Revision Received:
April 18, 2014
Citation
Chen, C., Wang, Z., Gou, Y., Zhao, X., and Miao, H. (September 12, 2014). "Wavelet-Based Multifractal Analysis to Periodic Time Series." ASME. J. Comput. Nonlinear Dynam. January 2015; 10(1): 011006. https://doi.org/10.1115/1.4027470
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