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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

Nonlinear fast kurtogram for the extraction of gear fault features with shock interference

TL;DR: In this paper , the authors proposed a nonlinear fast kurtogram (NFK) method to extract the gearbox fault features under shock interference by using Sigmoid to improve the fault representation.
Proceedings ArticleDOI

Fault Feature Extraction of Bearing Fault in Wind Turbine Generator Based on the Variational Modal Decomposition and Spectral Kurtosis

TL;DR: In this paper, a method based on variational mode decomposition and spectral kurtosis was proposed to extract fault features of rolling bearing effectively, and the intrinsic mode function (IMF) containing fault information was selected to reconstruct based on the spectral Kurtosis and then extracting the fault feature frequency by envelope spectrum analysis and good results were obtained.
Patent

Method for detecting at least one broadband interferer and detecting system

TL;DR: In this article, a method for detecting broadband interferer is described wherein a time-frequency area of incoming signals is determined by means of a spectrogram, and a spectral kurtosis is used such that a spectral Kurtosis value is calculated for each frequency bin of the incoming signals.
Journal ArticleDOI

Cyclogram: an effective method for selecting frequency bands for fault diagnosis of rolling element bearings

TL;DR: In this article , a novel frequency band selection method based on kurtosis and cyclostationarity is proposed for fault diagnosis of rolling element bearings. But, the proposed method is not suitable for fault detection with Gaussian and non-Gaussian noise.
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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