Journal ArticleDOI
Wavelet Transform With Tunable Q-Factor
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
Multi-objective Approach to Speech Enhancement Using Tunable Q-Factor-based Wavelet Transform and ANN Techniques
TL;DR: In this paper, a multi-objective formulation was proposed to find the optimal values of the Q and J of the TQWT algorithm at different noise levels, and a low complexity functional link artificial neural network-based model was developed in order to correctly estimate the appropriate values of Q andJ from the unknown noisy speech, a subjective and objective evaluation tests were carried out using three standard noisy speech data sets.
Journal ArticleDOI
An Intelligent Motor Imagery Detection System Using Electroencephalography with Adaptive Wavelets
TL;DR: In this article , three evolutionary optimization algorithms are explored for automating the tuning parameters of robust TQWT, and the fitness function of the mean square error of decomposition is used for channel selection using a Laplacian score for dominant channel selection.
Journal ArticleDOI
Reverberant blind separation of heart and lung sounds using nonnegative matrix factorization and auxiliary function technique
TL;DR: Experimental results according to the BSS performance of heart sound mixture and lung sound mixtures demonstrate that the proposed method is superior to the conventional BSS methods, especially for the highly reverberant environment.
Journal ArticleDOI
Modeling seasonal oscillations in GNSS time series with Complementary Ensemble Empirical Mode Decomposition
Wnęk Agnieszka,Kudas Dawid +1 more
Journal ArticleDOI
Identification of Emotion Using Electroencephalogram by Tunable Q-Factor Wavelet Transform and Binary Gray Wolf Optimization
TL;DR: In this article, a tunable-Q wavelet transform was used to decomposed the pre-processed EEG signal and then the binary gray wolf optimization algorithm was applied to optimize the feature matrix.
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.