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
Improvement of an Industrial Robotic Flaw Detection System
TL;DR: A novel strategy using singular spectrum analysis (SSA) integrated with hierarchical hyper-Laplacian prior prototype (HHLP) is proposed in this study for defect detection in industrial robots and establishes a modern prototype that represents the former dispersed from the perspective of maximizing the probability of the latter.
Journal ArticleDOI
Face Milling Tool Wear Condition Monitoring Based on Wavelet Transform and Shannon Entropy
Min Zhang,Hong Qi Liu,Bin Li +2 more
TL;DR: In this paper, a new method for milling tool wear condition monitoring based on tunable Q-factor wavelet transform and Shannon entropy is presented, which is suitable for mass production of cutting parameters fluctuation.
Journal ArticleDOI
Emotion Identification From TQWT-Based EEG Rhythms
TL;DR: In this paper , a tunable Q-factor wavelet transform (TQWT) was used to extract features from the TQWT-based EEG rhythms for emotion recognition.
Frequency Enhancement of Seismic Data via Tunable Q-factor Wavelet Transform
TL;DR: In this paper, a technique to enhance the frequency spectrum of seismic data via the tunable Q-factor wavelet transform (TQWT) is presented. But the proposed method does not consider the phase and temporal position of events.
Proceedings ArticleDOI
Power Transformer Fault Diagnosis Based on Controlled Switching Vibration Analysis
TL;DR: A method of power transformer mechanical structure fault diagnosis based on controlled switching process vibration measurement is presented and the wavelet packet decomposition is used to detect the signal envelop of such vibration response signal.
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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.