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
Migraine detection from EEG signals using tunable Q-factor wavelet transform and ensemble learning techniques
TL;DR: The results reveal the potential of the study as a tool that will support expert opinion in the diagnosis of migraine and propose a Tunable Q-Factor Wavelet Transform (TQWT) based method for the analysis of the oscillatory structure of EEG signals.
Journal ArticleDOI
Tunable Q-factor Wavelet Transform for Extraction of Weak Bursts in the Vibration Signal of an Angular Contact Bearing☆
TL;DR: In this article, a feature extraction method making use of tunable Q-factor wavelet transform (TQWT) is applied for the ease of detection of bearing defect, the acquired vibration signal is decomposed into various sub-bands using TQWT.
Proceedings ArticleDOI
Tunable-Q wavelet transform based optimal compression of cardiac sound signals
TL;DR: The proposed compression method has provided significant compression performance with lower distortion for various clinical cases as comprised in the publicly available dataset and has been found comparatively better than that of an existing wavelet transform (WT) based method.
Journal ArticleDOI
Compound Faults Feature Extraction for Rolling Bearings Based on Parallel Dual-Q-Factors and the Improved Maximum Correlated Kurtosis Deconvolution
TL;DR: In this paper, a compound fault separation algorithm based on parallel dual-Q-factors and improved maximum correlation kurtosis deconvolution (IMCKD) is proposed.
Book ChapterDOI
Classification of Heart Disorders Based on Tunable-Q Wavelet Transform of Cardiac Sound Signals
TL;DR: In this book chapter, a new method for segmentation and classification of cardiac sound signals using tunable-Q wavelet transform (TQWT) has been proposed and has provided significant performance in segmentation
References
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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.
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.