2006
DOI: 10.1515/ijnsns.2006.7.3.245
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A New Blind-Source-Separation Method and its Application to Fault Diagnosis of Rolling Bearing

Abstract: In this paper some existing methods of Blind Source Separation (BSS) are analyzed and the general framework of BSS based on Joint Diagonalization (JD) is presented. Fractional Fourier Transform (FrFT) is reviewed, and a new property of FrFT is established and proved, namely the mutually uncorrected signals would still be uncorrelated after FrFT. So a new method of BSS based on this property is put forward. And this new method has some other strong merits compared with the existing methods, such as fast computa… Show more

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Cited by 7 publications
(5 citation statements)
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“…The fractional Fourier transform can not only analyze the signal in the time domain and frequency domain, but also obtain the direction of the maximum projection of the signal in the fractional domain by rotating the signal; a multilevel fault diagnosis method is constructed with different transformation orders, but due to the precision selection of the transformation order and the need for a lot of calculations when transforming, there are still some problems in the application of this method in real-time fault detection. In addition, the existing methods cannot achieve a good effect when processing signals containing both integer-order faults and fractional-order faults [ 36 , 37 , 38 ]. In multilevel fault diagnosis methods, new methods using adaptive processing of signal samples have been proposed one after another, which can detect and locate multiple faults more efficiently and reliably than traditional fault diagnosis methods [ 39 , 40 ].…”
Section: Introductionmentioning
confidence: 99%
“…The fractional Fourier transform can not only analyze the signal in the time domain and frequency domain, but also obtain the direction of the maximum projection of the signal in the fractional domain by rotating the signal; a multilevel fault diagnosis method is constructed with different transformation orders, but due to the precision selection of the transformation order and the need for a lot of calculations when transforming, there are still some problems in the application of this method in real-time fault detection. In addition, the existing methods cannot achieve a good effect when processing signals containing both integer-order faults and fractional-order faults [ 36 , 37 , 38 ]. In multilevel fault diagnosis methods, new methods using adaptive processing of signal samples have been proposed one after another, which can detect and locate multiple faults more efficiently and reliably than traditional fault diagnosis methods [ 39 , 40 ].…”
Section: Introductionmentioning
confidence: 99%
“…Blind source separation is a technique for separating the independent components from the mixed signals observed by the sensors under the condition that the source signals and transmission channels are unknown. Now BSS has been successfully applied to the source separation of mechanical faults [1][2][3][4][5]. However the traditional blind separation method of mechanical fault sources are restricted to non-gauss, stationary and mutually independent source signals, which may cause many problems in practical applications, because the mechanical fault signal, which always exhibits non-stationarity, non-gauss and non-independence, generally cannot meet these conditions.…”
Section: Introductionmentioning
confidence: 99%
“…Accordingly, a lot of time-frequency methods suitable for non-stationary signal, such as wavelet transform, Wigner distribution, Gabor transform, etc., have been applied in fault diagnosis [3][4][5][6][7][8][9][10][11]. For example, Peng and Chu [3] presented a summary about the application of the wavelet transform in machine fault diagnosis, and gave some useful prospects of the wavelet transform combined with other tools in condition monitoring and fault diagnosis.…”
Section: Introductionmentioning
confidence: 99%
“…[10] presented a non-linear BSS approach and applied it to failure detection of gear tooth. Shen and Yang [11] presented a novel BSS method based on Fractional Fourier Transform, which could be used to separate the mixed non-stationary signals successfully and was applied for fault diagnosis of rolling bearing in freight train successfully.…”
Section: Introductionmentioning
confidence: 99%