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Journal ArticleDOI

The spectral kurtosis: a useful tool for characterising non-stationary signals

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TLDR
A formalisation of the spectral kurtosis by means of the Wold–Cramer decomposition of “conditionally non-stationary” processes is proposed, which engenders many useful properties enjoyed by the SK.
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This article is published in Mechanical Systems and Signal Processing.The article was published on 2006-02-01. It has received 974 citations till now.

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Citations
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Journal ArticleDOI

A novel blind deconvolution method and its application to fault identification

TL;DR: A new criterion called impulse-norm is proposed, a time-domain parameter defined as the ratio of the average amplitude of the first several maximum energy points to the energy of the entire signal, which can effectively identify the weak impulse fault feature of rolling element bearings.
Journal ArticleDOI

Early Fault Diagnosis and Classification of Ball Bearing Using Enhanced Kurtogram and Gaussian Mixture Model

TL;DR: This paper applies a feature extraction technique based on spectral kurtosis (SK) and then filter the results using statistical approaches and presents an effective analytical technique for the early diagnosis of ball bearing faults based on vibration data derived from the bearings.
Journal ArticleDOI

Periodicity-Impulsiveness Spectrum Based on Singular Value Negentropy and Its Application for Identification of Optimal Frequency Band

TL;DR: A method that accurately identifies the optimal frequency band even with complicated interferences from the motor and industrial field is presented, and the resonance frequency band excited by the motor bearing fault is located.
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A study on helicopter main gearbox planetary bearing fault diagnosis

TL;DR: Diagnosis of a MGB planetary bearing with seeded defect was investigated and results indicate that the seeded planetary bearing defect was successfully detected in both test cases.
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Recursive variational mode extraction and its application in rolling bearing fault diagnosis

TL;DR: The established method can extract the fault features as effective as VMD, but the proposed RVME is significantly better than VMD in terms of computational efficiency and compared with other classical fault feature extraction approaches.
References
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Book

Probability, random variables and stochastic processes

TL;DR: This chapter discusses the concept of a Random Variable, the meaning of Probability, and the axioms of probability in terms of Markov Chains and Queueing Theory.
Book

Probability, random variables, and stochastic processes

TL;DR: In this paper, the meaning of probability and random variables are discussed, as well as the axioms of probability, and the concept of a random variable and repeated trials are discussed.
Journal ArticleDOI

Tutorial on higher-order statistics (spectra) in signal processing and system theory: theoretical results and some applications

TL;DR: A compendium of recent theoretical results associated with using higher-order statistics in signal processing and system theory is provided, and the utility of applying higher- order statistics to practical problems is demonstrated.
Journal ArticleDOI

The spectral kurtosis: application to the vibratory surveillance and diagnostics of rotating machines

TL;DR: In this article, the spectral kurtosis (SK) was used to detect and characterize nonstationary signals in the presence of strong masking noise and to detect incipient faults in rotating machines.
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