Journal ArticleDOI
Research on the unified mathematical model for FT, STFT and WT and its applications
Shuren Qin,Y.M. Zhong +1 more
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TLDR
In this article, a unified mathematical model for some classical signal transforms is presented and discussed, and the specific values of the variables and parameter functions of FT, STFT and WT are given.About:
This article is published in Mechanical Systems and Signal Processing.The article was published on 2004-11-01. It has received 26 citations till now. The article focuses on the topics: Harmonic wavelet transform & Fractional Fourier transform.read more
Citations
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Journal ArticleDOI
Wavelet transform based on inner product in fault diagnosis of rotating machinery: A review
TL;DR: In this article, the inner product operation of wavelet transform (WT) is verified by simulation and field experiments and the development process of WT based on inner product is concluded and the applications of major developments in rotating machinery fault diagnosis are also summarized.
Journal ArticleDOI
An improved convolutional neural network with an adaptable learning rate towards multi-signal fault diagnosis of hydraulic piston pump
TL;DR: An improved intelligent method based on CNN with adapting learning rate is constructed for fault diagnosis of a hydraulic piston pump and experiments indicate that the improved CNN model can effectively and accurately identify various faults for a hydraulic engine.
Journal ArticleDOI
Role of Signal Processing, Modeling and Decision Making in the Diagnosis of Rolling Element Bearing Defect: A Review
Anil Kumar,Rajesh Kumar +1 more
TL;DR: This paper reviewed recent and traditional research, and development in area of defect diagnosis, defect modelling, defect measurement and prognostics, and highlights the merit and demerit of various signal processing techniques.
Journal ArticleDOI
Early detection of tooth crack damage in gearbox using empirical wavelet transform combined by Hilbert transform
TL;DR: Results of analyzing the pinion’s vibration displacement show that the proposed approach denoted (HEWT) successfully detect the tooth crack at a much earlier stage of damage development even though in noisy environment.
Journal ArticleDOI
A novel gearbox fault feature extraction and classification using Hilbert empirical wavelet transform, singular value decomposition, and SOM neural network:
Boualem Merainani,Boualem Merainani,Chemseddine Rahmoune,Djamel Benazzouz,Belkacem Ould-Bouamama +4 more
TL;DR: A new fault diagnosis method which combines the Hilbert empirical wavelet transform (HEWT), singular value decomposition (SVD), and self-organizing feature map (SOM) neural network is proposed in this paper and results show that the HEWT–SVD is better for feature extraction.
References
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Book
An introduction to the bootstrap
Bradley Efron,Robert Tibshirani +1 more
TL;DR: This article presents bootstrap methods for estimation, using simple arguments, with Minitab macros for implementing these methods, as well as some examples of how these methods could be used for estimation purposes.
Journal ArticleDOI
The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
Norden E. Huang,Zheng Shen,Steven R. Long,Man-Li C. Wu,Hsing H. Shih,Quanan Zheng,Nai-Chyuan Yen,C. C. Tung,Henry H. Liu +8 more
TL;DR: In this paper, a new method for analysing nonlinear and nonstationary data has been developed, which is the key part of the method is the empirical mode decomposition method with which any complicated data set can be decoded.
Journal ArticleDOI
An Introduction to the Bootstrap.
Journal ArticleDOI
The wavelet transform, time-frequency localization and signal analysis
TL;DR: Two different procedures for effecting a frequency analysis of a time-dependent signal locally in time are studied and the notion of time-frequency localization is made precise, within this framework, by two localization theorems.
Book
Time-Frequency Analysis
TL;DR: In this article, the authors present a general approach and the Kernel Method for reduced interference in the representation of signal signals, which is based on the Wigner distribution and the characteristic function operator.
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Application of the wavelet transform in machine condition monitoring and fault diagnostics: a review with bibliography
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