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Design of Biorthogonal Wavelets based on Spline and Spline-like Functions for Image Compression

open access: yesInternational Journal of Emerging Research in Engineering, Science, and Management, 2022
Wavelet theory inspired from Fourier analysis is based on the basis function and its properties. Different wavelets use different basis functions which may better suit to some applications.
K Subramanyam, T Ramasri
doaj   +1 more source

Lifting scheme‐based matched wavelet design for effective characterisation of different types of voltage sag

open access: yesIET Science, Measurement & Technology, 2021
This study presents a novel scheme for designing biorthogonal wavelets matched to the voltage sag (VS) signals. Instead of using standard wavelets, matched wavelets designed in this study can extract more distinguishing features for better ...
Akanksha Aggarwal, Manish Kumar Saini
doaj   +1 more source

A Comparative Study of Wavelets Methods for Solving Non-Linear Two-Dimensional Boussinesq System of Type BBM-BBM [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2014
In this paper, numerical techniques based on the wavelets methods are proposed for the numerical solution of non-linear two-dimensional BBM-BBM system and we compared between them.
Ekhlass Al-Rawi, Ahmed Qasim
doaj   +1 more source

Estimation of the regression function by Legendre wavelets [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2022
We estimate a function f with N independent observations by using Leg-endre wavelets operational matrices. The function f is approximated with the solution of a special minimization problem.
M. Hamzehnejad, M.M. Hosseini, A. Salemi
doaj   +1 more source

Gaussian and Golden Wavelets: A Comparative Study and their Applications in Structural Health Monitoring

open access: yesTrends in Computational and Applied Mathematics, 2021
In this work, a comparative analysis between Gaussian and Golden wavelets is presented. These wavelets are generated by the derivative of specific base functions.
F. E. Gossler   +5 more
doaj   +1 more source

Mollification Based onWavelets

open access: yesAxioms, 2013
The mollification obtained by truncating the expansion in wavelets is studied, where the wavelets are so chosen that noise is reduced and the Gibbs phenomenon does not occur.
Ken-ichi Sato, Tohru Morita
doaj   +1 more source

Triangular Wavelets: An Isotropic Image Representation with Hexagonal Symmetry

open access: yesEURASIP Journal on Image and Video Processing, 2009
This paper introduces triangular wavelets, which are two-dimensional nonseparable biorthogonal wavelets defined on the regular triangular lattice. The construction that we propose is a simple nonseparable extension of one-dimensional interpolating ...
Kensuke Fujinoki, Oleg V. Vasilyev
doaj   +2 more sources

Elastic wavelets and their application to problems of solitary wave propagation

open access: yesAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2008
The paper can be referred to that direction in the wavelet theory, which was called by Kaiser "the physical wavelets". He developed the analysis of first two kinds of physical wavelets - electromagnetic (optic) and acoustic wavelets.
Cattani, Carlo, Rushchitsky, Jeremiah
doaj   +1 more source

A high-resolution processing technique for improving the energy of weak signal based on matching pursuit

open access: yesAnnals of Geophysics, 2016
This paper proposes a new method to improve the resolution of the seismic signal and to compensate the energy of weak seismic signal based on matching pursuit. With a dictionary of Morlet wavelets, matching pursuit algorithm can decompose a seismic trace
Shuyan Wang   +4 more
doaj   +1 more source

Hermite wavelets operational matrix of integration for the numerical solution of nonlinear singular initial value problems

open access: yesAlexandria Engineering Journal, 2018
In this paper, new operational matrix of integration is generated by using Hermite wavelets. By aid of these matrices, Hermite wavelets operational matrix method (HWOMM) is developed for second ordered nonlinear singular initial value problems ...
S.C. Shiralashetti, S. Kumbinarasaiah
doaj   +1 more source

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