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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

Wavelet Packet Envelope Manifold for Fault Diagnosis of Rolling Element Bearings

TL;DR: The envelope analysis technique for fault diagnosis of rolling element bearings is explored, and a new method, called wavelet packet envelope manifold (WPEM) approach, to extract the intrinsic envelope structure for well identification of the specific characteristic frequency is proposed.
Journal ArticleDOI

Novel synthetic index-based adaptive stochastic resonance method and its application in bearing fault diagnosis

TL;DR: In this article, the authors proposed a new synthetic quantitative index (SQI) via a back propagation neural network to guide the adaptive parameter selection of the stochastic resonance (SR) procedure.
Journal ArticleDOI

Detection of signal component modulations using modulation intensity distribution

TL;DR: In this article, a modulation intensity distribution (MID) is proposed for detection of modulations, which may be considered as a generalization of the spectral correlation density, which applies to most common types of modulation in mechanical systems thanks to an open module tailored accordingly by the user.
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Optimization of segmentation fragments in empirical wavelet transform and its applications to extracting industrial bearing fault features

TL;DR: Comparisons with empirical wavelet transform guided by the artificial rule as well as two advanced fault diagnosis algorithms are made to experimentally demonstrate that the optimal segmentation fragments in empirical wavelets transform can result in higher detection performance.
Proceedings ArticleDOI

Spectral kurtosis optimization for rolling element bearings

TL;DR: A technique to optimise spectral kurtosis for diagnostics of rolling element bearings by prewhitening the signal using an autoregressive model and decomposed using complex Morlet wavelets.
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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