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
A Modified Tunable – Q Wavelet Transform Approach for Tamil Speech Enhancement
TL;DR: A new speech enhancement approach using the modified Tunable-Q Wavelet Transform (TQWT) for Tamil speaker recognition systems is proposed.
Proceedings ArticleDOI
Robust vehicle detection from noisy acceleration signal for bridge monitoring systems
Tung Doan,Atsuhiro Takasu +1 more
TL;DR: This paper proposes a vehicle detection method from acceleration signals acquired from sensors of the bridge monitoring systems, using a wavelet-based pattern matching technique to reduce noise in the generated signal.
Dissertation
Décodage des intentions et des exécutions motrices : étude du rôle des oscillations cérébrales via l’apprentissage machine et développement d’outils open-source
TL;DR: In this paper, the role of composante de phase, d'amplitude ou couplage phase-amplitudes (PAC) durant the preparation and l'execution motrice of a simple mouvement is investigated.
Book ChapterDOI
The Research of the Transient Feature Extraction by Resonance-Based Method Using Double-TQWT
TL;DR: Results of applications in transient feature extraction for simulation signal and bearing fault signal show the new method outperforms the average filtering method and the wavelet threshold algorithm, which further confirms the validity and superiority of this method for transient features extraction.
Dissertation
Robust fringe projection profilometry
TL;DR: The author’s aim has been to provide a chronology of events leading to and following the publication of this book.
References
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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.
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.