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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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Proceedings ArticleDOI

An Optimal Band-pass Filter based on Adaptive Identification of Bearing Resonant Frequency Band

TL;DR: The experimental results of bearings with single and multiple defects demonstrate that the proposed method can successfully search the location of RFB and extract the bearing signals under strong noise, so that weak faults cannot be missed for accurate bearing fault diagnosis.
Journal ArticleDOI

Enhanced Bayesian sparse representation of mechanical fault signals by structural feature-oriented matching composite dictionary construction

TL;DR: Wang et al. as discussed by the authors proposed an enhanced Bayesian sparse representation (EBSR) model which improves the recovery accuracy and robustness of the sparse representation by using the structural information as a priori information.
Journal ArticleDOI

A Two-Stage Rolling Bearing Weak Fault Feature Extraction Method Combining Adaptive Morphological Filter with Frequency Band Selection Strategy

TL;DR: In this article , a two-stage adaptive morphological filter (AMF) and frequency band selection (FBS) strategy is proposed to extract the weak fault features hidden in strong background interference in the event of the early failure of rolling bearings.
Journal ArticleDOI

Band Relevance Factor (BRF): a novel automatic frequency band selection method based on vibration analysis for rotating machinery

TL;DR: In this paper, a new approach called Band Relevance Factor (BRF) is proposed to perform an automatic selection of all relevant frequency bands for a vibration analysis of a rotating machine based on spectral entropy.
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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