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2015 | OriginalPaper | Chapter

A Bearing Fault Detection Method Base on Compressed Sensing

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Abstract

For bearing fault detection in frequency domain, traditional methods estimate bearing fault condition based on mass data sampled by Nyquist sampling theorem, which will burden the storage. A new bearing fault detection method based on compressed sensing will be proposed in this paper in allusion to the problem mentioned above. The method presented here carried out compressive sampling and get a small set of incoherent projections, often the number of projections can be much smaller than the number of Nyquist rate samples. Then based on matching pursuit, the bearing condition will be estimated finally using these few measurements directly without ever reconstructing the signals involved. Sparsity of original signal is not demanded since the signal does not need to be recovered completely, which will also helped to expanded the method to other signals with similar characteristics in frequency domain. Related test will be achieved to verify the effectiveness of the method proposed in this paper.

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Literature
3.
go back to reference Candes E, Wakin M (2008) An introduction to compressive sampling. IEEE Signal Process Mag 25(2):21–30CrossRef Candes E, Wakin M (2008) An introduction to compressive sampling. IEEE Signal Process Mag 25(2):21–30CrossRef
4.
5.
go back to reference Candes E, Romberg J, Tao T (2006) Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans Inf Theory 52(2):489–509CrossRefMATHMathSciNet Candes E, Romberg J, Tao T (2006) Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans Inf Theory 52(2):489–509CrossRefMATHMathSciNet
6.
go back to reference Candes E, Tao T (2006) Near optimal signal recovery from random projections: Universal encoding strategies. IEEE Trans Inf Theory 52(12):5406–5425CrossRefMathSciNet Candes E, Tao T (2006) Near optimal signal recovery from random projections: Universal encoding strategies. IEEE Trans Inf Theory 52(12):5406–5425CrossRefMathSciNet
7.
go back to reference Licheng J, Shuyuan Y, Fang L, Biao H (2011) Development and prospect of compressive sensing. Acta Electronica Sinica 39(7):1561–1564 Licheng J, Shuyuan Y, Fang L, Biao H (2011) Development and prospect of compressive sensing. Acta Electronica Sinica 39(7):1561–1564
8.
go back to reference Mallat S, Zhang Z (1993) Matching pursuit with time-frequency dictionaries. IEEE Trans Signal Process 41(12):3397–3415CrossRefMATH Mallat S, Zhang Z (1993) Matching pursuit with time-frequency dictionaries. IEEE Trans Signal Process 41(12):3397–3415CrossRefMATH
9.
go back to reference Friedman JH, Tukey JW (1974) A projection pursuit algorithm for exploratory data analysis. IEEE Trans Comput 23(9):881–890CrossRefMATH Friedman JH, Tukey JW (1974) A projection pursuit algorithm for exploratory data analysis. IEEE Trans Comput 23(9):881–890CrossRefMATH
10.
go back to reference Duarte M, Davenport M, Wak NM et al. (2006) Sparse signal detection from incoherent projection. In: IEEE international conference on acoustics, speech, and signal processing (ICASSP), Toulouse, France, pp 305–308 Duarte M, Davenport M, Wak NM et al. (2006) Sparse signal detection from incoherent projection. In: IEEE international conference on acoustics, speech, and signal processing (ICASSP), Toulouse, France, pp 305–308
11.
go back to reference Tropp JA, Gilbert AC (2007) Signal recovery from random measurements via orthogonal matching pursuit. IEEE Trans Inf Theor 53(12):4655–4666CrossRefMATHMathSciNet Tropp JA, Gilbert AC (2007) Signal recovery from random measurements via orthogonal matching pursuit. IEEE Trans Inf Theor 53(12):4655–4666CrossRefMATHMathSciNet
12.
go back to reference Baraniuk Richard, Davenport Mark, DeVore Ronald et al (2007) A simple proof of the restricted isometry property for random matrices. Constructive Approximation 23(4–6):918–925 Baraniuk Richard, Davenport Mark, DeVore Ronald et al (2007) A simple proof of the restricted isometry property for random matrices. Constructive Approximation 23(4–6):918–925
Metadata
Title
A Bearing Fault Detection Method Base on Compressed Sensing
Authors
Zhang Xinpeng
Hu Niaoqing
Cheng Zhe
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-09507-3_69