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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

The FERgram: A rolling bearing compound fault diagnosis based on maximal overlap discrete wavelet packet transform and fault energy ratio

TL;DR: The results show that the FERgram method can effectively extract and accurately diagnose the compound fault of rolling bearing.
Journal ArticleDOI

Hybrid method on signal de-noising and representation for online partial discharge monitoring of power transformers at substations

TL;DR: In this article, a hybrid method combining pre-whitening and blind equalisation for de-noising the signals obtained from online partial discharge (PD) measurements of transformers is proposed.
Journal ArticleDOI

Detectivity: A combination of Hjorth’s parameters for condition monitoring of ball bearings

TL;DR: In this paper, Hjorth's parameters are applied to vibration signals for fault detection in ball bearings and two open-access datasets are used: the NASA bearing dataset of the University of Cincinnati and the Polytechnic of Turin rolling bearing dataset.
Journal ArticleDOI

Automatic detection of bioacoustics impulses based on kurtosis under weak signal to noise ratio

TL;DR: In this article, a click detection algorithm based on kurtosis estimation is proposed as a general automatic click detector, which works under the assumption that click trains are embedded in stochastic but Gaussian noise.
Journal ArticleDOI

An improved empirical wavelet transform and sensitive components selecting method for bearing fault

TL;DR: A new algorithm to improve EWT is proposed to weaken the influence of extreme points in the complex Fourier spectrum on modal differentiation, and the cycle envelope spectral segmentation method is proposed.
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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