16 papers · ranked by Valyu relevance
Hailiang Sun, Yanyang Zi, Zhengjia He, Jing Yuan + 2 more
'Lue Chen'] Planetary gearboxes exhibit complicated dynamic responses which are more difficult to detect in vibration signals than fixed-axis gear trains because of the special gear transmission structures. Diverse advanced methods have been developed for this challenging task to reduce or avoid unscheduled breakdown…
Jeffrey S. Geronimo, Plamen Iliev, Walter Van Assche
We show that the multiwavelets, introduced by Alpert in 1993, are related to type I Legendre-Angelesco multiple orthogonal polynomials. We give explicit formulas for these Legendre-Angelesco polynomials and for the Alpert multiwavelets. The multiresolution analysis can be done entirely using Legendre polynomials, and…
Malika Jallouli, Makerem Zemni, Anouar Ben Mabrouk, Mohamed Ali Mahjoub
'Mohamed Ali Mahjoub'] Biosignals are nowadays important subjects for scientific researches from both theory and applications especially with the appearance of new pandemics threatening the humanity such as the new Coronavirus. One aim in the present work is to prove that Wavelets may be a successful machinery to…
J. Locke, Adrian M. Peter
Accurate density estimation methodologies play an integral role in a variety of scientific disciplines, with applications including simulation models, decision support tools, and exploratory data analysis. In the past, histograms and kernel density estimators have been the predominant tools of choice, primarily due to…
Vasil Kolev, Todor Cooklev, Fritz Keinert
We consider the design of an orthogonal symmetric/antisymmetric multiwavelet from its matrix product filter by matrix spectral factorization (MSF). As a test problem, we construct a simple matrix product filter with desirable properties, and factor it using Bauer's method, which in this case can be done in closed form.…
Malika Jallouli, Sabrine Arfaoui, Anouar Ben Mabrouk, Carlo Cattani + 2 more
Analysis of the fetal heart rate during pregnancy is essential for monitoring the proper development of the fetus. Current fetal heart monitoring techniques lack the accuracy in fetal heart rate monitoring and features acquisition, resulting in diagnostic medical issues. The challenge lies in the extraction of the…
Gabriel A. Gerez S, Roberto Di Remigio Eikås, Stig Rune Jensen, Magnar Bjørgve + 1 more
Parametrization in a Multiwavelet Framework Authors: ['Gabriel\nA. Gerez S' 'Roberto Di Remigio Eikås' 'Stig Rune Jensen' 'Magnar Bjørgve' 'Luca Frediani'] We present a multiwavelet-based implementation of a quantum/classical polarizable continuum model. The solvent model uses a diffuse solute-solvent boundary and a…
Mariantonia Cotronei, Caroline Moosmüller, Tomas Sauer, Nada Sissouno
'Nada Sissouno'] In this paper we present a construction of interpolatory Hermite multiwavelets for functions that take values in nonlinear geometries such as Riemannian manifolds or Lie groups. We rely on the strong connection between wavelets and subdivision schemes to define a prediction-correction approach based on…
Martina Nibbi, Luca Frediani, Evgueni Dinvay, Christian B. Mendl
at the Complete Basis Set Limit with Multiwavelets and DMRG Authors: Martina Nibbi, Luca Frediani, Evgueni Dinvay, Christian B. Mendl The density matrix renormalization group (DMRG) is a powerful numerical technique to solve strongly correlated quantum systems: it deals well with systems which are not dominated by a…
Wei Guo, Juntao Huang, Zhanjing Tao, Yingda Cheng
We are interested in numerically solving the Hamilton-Jacobi (HJ) equations, which arise in optimal control and many other applications. Oftentimes, such equations are posed in high dimensions, and this poses great numerical challenges. This work proposes a class of adaptive sparse grid (also called adaptive…
Christian Tantardini, Roberto Di Remigio Eikås, Magnar Bjørgve, Stig Rune Jensen + 1 more
in the Multiwavelets Framework Authors: ['Christian Tantardini' 'Roberto Di Remigio Eikås' 'Magnar Bjørgve' 'Stig Rune Jensen' 'Luca Frediani'] New techniques in core-electron spectroscopy are necessary to resolve the structures of oxides of f-elements and other strongly correlated materials that are present only as…
Vasile V. Moca, Adriana Nagy-Dăbâcan, Harald Bârzan, Raul C. Mureşan
Time-frequency analysis is ubiquitous in many fields of science. Due to the Heisenberg-Gabor uncertainty principle, a single measurement cannot estimate precisely the localization of a finite oscillation in both time and frequency. Classical spectral estimators, like the short-time Fourier transform (STFT) or the…
Lina Chato, Alex Kagozi
Accurate diagnosis of cardiac abnormalities from electrocardiogram signals remains a central challenge in automated cardiovascular assessment. This study investigates the efficiency of time–frequency representations and deep learning architectures in classifying 12-lead ECGs into five diagnostic super-classes using the…
Eric Rawls
Time-frequency (TF) analysis of M/EEG data enables rich understanding of cortical dynamics underlying cognition, health, and disease. There are many algorithms for time-frequency decomposition of M/EEG neural data, but they are implemented in an inconsistent manner and most existing toolboxes either 1) contain only one…
Michael X Cohen
Morlet wavelets are frequently used for time-frequency analysis of non-stationary time series data, such as neuroelectrical signals recorded from the brain. The crucial parameter of Morlet wavelets is the width of the Gaussian that tapers the sine wave. This width parameter controls the trade-off between temporal…
Authors not listed
This report compares various simulation and data analysis methods for free induction decay (FID) signals in Nuclear Magnetic Resonance (NMR) Spectroscopy. The methods discussed include discrete fast Fourier transformation (FFT), least squares fitting (LSF), short-time Fourier transformation (STFT), and wavelet…