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Osiris wavelets and Set wavelets [PDF]
Journal of Applied Mathematics, 2004 An alternative to Osiris wavelet systems is introduced in two dimensions. The basic building blocks are continuous piecewise linear functions supported on equilateral triangles instead of on squares.
Guy Battle
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Generalized Morse Wavelets as a Superfamily of Analytic Wavelets [PDF]
IEEE Transactions on Signal Processing, 2012 The generalized Morse wavelets are shown to constitute a superfamily that essentially encompasses all other commonly used analytic wavelets, subsuming eight apparently distinct types of analysis filters into a single common form.
Lilly, Jonathan M., Olhede, Sofia C.
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A Review on Harmonic Wavelets and Their Fractional Extension
Journal of Advanced Engineering and Computation, 2018 In this paper a review on harmonic wavelets and their fractional generalization, within the local fractional calculus, will be discussed. The main properties of harmonic wavelets and fractional harmonic wavelets will be given, by taking into account of ...
Carlo Cattani
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Design of Biorthogonal Wavelets based on Spline and Spline-like Functions for Image Compression
International 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
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IET 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
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A Comparative Study of Wavelets Methods for Solving Non-Linear Two-Dimensional Boussinesq System of Type BBM-BBM [PDF]
Al-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
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Estimation of the regression function by Legendre wavelets [PDF]
Iranian 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
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Trends 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
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On the computation of directional scale-discretized wavelet transforms on the sphere [PDF]
, 2013 We review scale-discretized wavelets on the sphere, which are directional and allow one to probe oriented structure in data defined on the sphere. Furthermore, scale-discretized wavelets allow in practice the exact synthesis of a signal from its wavelet ...
McEwen, J. D. +2 more
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IEEE Transactions on Information Theory, 2002 Summary: This paper studies the issue of optimal deconvolution density estimation using wavelets. The approach taken here can be considered as orthogonal series estimation in the more general context of the density estimation. We explore the asymptotic properties of estimators based on thresholding of estimated wavelet coefficients.
Jianqing Fan, Ja-Yong Koo
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