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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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A sensor-dependent vibration data driven fault identification method via autonomous variational mode decomposition for transmission system of shipborne antenna

TL;DR: An autonomous variational mode decomposition (AVMD) based on Independence-oriented Variational Mode Decomposition (IOVMD) and the Largest Lyapunov Exponent (LLE) criterion is proposed in this paper and shows the effectiveness and superiority of the proposed method.
Journal ArticleDOI

Separation of multiple local-damage-related components from vibration data using Nonnegative Matrix Factorization and multichannel data fusion

TL;DR: A novel methodology based on data fusion from multichannel vibration data from heavy-duty industrial gearbox operating in the driving station of a belt conveyor is presented, using the factorization of spectrograms using Generalized Hierarchical Alternating Least Squares Nonnegative Matrix Factorization with Beta-Divergence.
Journal ArticleDOI

Information interval spectrum: A novel methodology for rolling-element bearing diagnosis

TL;DR: Results indicate that the novel bearing fault diagnosis methodology called information interval spectrum (IIS) can diagnose weak faults in low signal-to-noise ratio, prevent heavy attenuation of the fault harmonics in spectrum, and eliminate the interference of the rotation frequency.

Hybrid modelling in condition monitoring

TL;DR: The reliability, availability, maintainability and safety of assets is key to business success as mentioned in this paper, and a logical first step is to consider the requirements of assets in the design process.
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Initial fault time estimation of rolling element bearing by backtracking strategy, improved VMD and infogram

TL;DR: An integration method for fault diagnosis that combines backtracking strategy, improved variational mode decomposition (VMD), and infogram is proposed to tackle the challenge of the early feature extraction from the heavy noisy non-stationary signal.
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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