Journal ArticleDOI
Wavelet Transform With Tunable Q-Factor
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TLDR
A discrete-time wavelet transform for which the Q-factor is easily specified and the transform can be tuned according to the oscillatory behavior of the signal to which it is applied, based on a real-valued scaling factor.Abstract:
This paper describes a discrete-time wavelet transform for which the Q-factor is easily specified. Hence, the transform can be tuned according to the oscillatory behavior of the signal to which it is applied. The transform is based on a real-valued scaling factor (dilation-factor) and is implemented using a perfect reconstruction over-sampled filter bank with real-valued sampling factors. Two forms of the transform are presented. The first form is defined for discrete-time signals defined on all of Z. The second form is defined for discrete-time signals of finite-length and can be implemented efficiently with FFTs. The transform is parameterized by its Q-factor and its oversampling rate (redundancy), with modest oversampling rates (e.g., three to four times overcomplete) being sufficient for the analysis/synthesis functions to be well localized.read more
Citations
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Journal ArticleDOI
Automated detection of abnormal heart sound signals using Fano-factor constrained tunable quality wavelet transform
Nidhi Kalidas Sawant,Shivnarayan Patidar,Naimahmed Nesaragi,U. Rajendra Acharya,U. Rajendra Acharya,U. Rajendra Acharya +5 more
TL;DR: A novel method for the automated binary classification of heart sound signals using the Fano-factor constrained tunable quality wavelet transform (TQWT) technique, which can be used in digital stethoscopes to automatically detect abnormal heart sounds and aid the clinicians in their diagnosis.
Journal ArticleDOI
Resonance-Based Nonlinear Demodulation Analysis Method of Rolling Bearing Fault:
TL;DR: In this article, the authors proposed a method to analyze mechanical nonstationary fault signals using a mixture of sustained oscillations and nonoscillatory transients, which are difficult to efficiently analyze using linear methods.
Journal ArticleDOI
Hierarchical Frequency-Domain Sparsity-Based Algorithm for Fault Feature Extraction of Rolling Bearings
Baoxiang Wang,Chuancang Ding +1 more
TL;DR: The results demonstrate that the HFDSA can efficiently extract fault transients in noisy vibration signal and achieve fault detection of rolling bearings.
Journal ArticleDOI
Robust Single-Shot Fringe Projection Profilometry Based on Morphological Component Analysis
TL;DR: A new single-shot FPP algorithm which allows the object texture and fringe pattern to be estimated simultaneously, is proposed, which has a side benefit that the object Texture can be simultaneously obtained in the fringe pattern estimation process, which is useful in many FPP applications.
Journal ArticleDOI
Intelligent Fault Diagnosis of Rotating Machinery Using ICD and Generalized Composite Multi-Scale Fuzzy Entropy
TL;DR: The proposed intelligent fault diagnosis algorithm of rotating machinery based on intrinsic characteristic-scale decomposition, generalized composite multi-scale fuzzy entropy, Laplacian score, and particle swarm optimization-based support vector machine (PSO-SVM) is proposed is validated.
References
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Book
Ten lectures on wavelets
TL;DR: This paper presents a meta-analyses of the wavelet transforms of Coxeter’s inequality and its applications to multiresolutional analysis and orthonormal bases.
Journal ArticleDOI
Ten Lectures on Wavelets
TL;DR: In this article, the regularity of compactly supported wavelets and symmetry of wavelet bases are discussed. But the authors focus on the orthonormal bases of wavelets, rather than the continuous wavelet transform.
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Atomic Decomposition by Basis Pursuit
TL;DR: Basis Pursuit (BP) is a principle for decomposing a signal into an "optimal" superposition of dictionary elements, where optimal means having the smallest l1 norm of coefficients among all such decompositions.
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Fast Image Recovery Using Variable Splitting and Constrained Optimization
TL;DR: A new fast algorithm for solving one of the standard formulations of image restoration and reconstruction which consists of an unconstrained optimization problem where the objective includes an l2 data-fidelity term and a nonsmooth regularizer is proposed.
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Calculation of a constant Q spectral transform
TL;DR: In this article, a constant Q transform with a constant ratio of center frequency to resolution has been proposed to obtain a constant pattern in the frequency domain for sounds with harmonic frequency components.