Results 1 to 10 of about 861 (50)

Wigner-Ville distribution and ambiguity function associated with the quaternion offset linear canonical transform

open access: yesDemonstratio Mathematica, 2022
Wigner-Ville transform or Wigner-Ville distribution (WVD) associated with quaternion offset linear canonical transform (QOLCT) was proposed by Bhat and Dar. This work is devoted to the development of the theory proposed by them, which is an emerging tool
Bhat Mohammad Younus   +3 more
doaj   +1 more source

Quadratic phase S-Transform: Properties and uncertainty principles

open access: yese-Prime: Advances in Electrical Engineering, Electronics and Energy, 2023
In this paper, a novel quadratic phase S-transform (QPST) is proposed, by generalizing the S-transform (ST) with five parameters a, b, c,d and e. QPST displays the time and quadratic phase domain-frequency information jointly in the time-frequency plane.
M. Younus Bhat, Aamir H. Dar
doaj   +1 more source

Besov-type spaces for the κ-Hankel wavelet transform on the real line

open access: yesConcrete Operators, 2021
In this paper, we shall introduce functions spaces as subspaces of Lpκ (ℝ) that we call Besov-κ-Hankel spaces and extend the concept of κ-Hankel wavelet transform in Lpκ(ℝ) space.
Pathak Ashish, Pandey Shrish
doaj   +1 more source

Some results on vanishing moments of wavelet packets, convolution and cross-correlation of wavelets

open access: yesArab Journal of Mathematical Sciences, 2019
A formula for calculating moments for wavelet packets is derived and a sufficient condition for moments of wavelet packets to be vanishing is obtained.
A.M. Jarrah, Nikhil Khanna
doaj   +1 more source

Function spaces on the Koch curve

open access: yesJournal of Function Spaces, Volume 8, Issue 3, Page 287-299, 2010., 2010
We consider two types of Besov spaces on the Koch curve, defined by traces and with the help of the snowflaked transform. We compare these spaces and give their characterization in terms of Daubechies wavelets.
Maryia Kabanava, Hans Triebel
wiley   +1 more source

Discrete differential operators in multidimensional Haar wavelet spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 44, Page 2347-2355, 2004., 2004
We consider a class of discrete differential operators acting on multidimensional Haar wavelet basis with the aim of finding wavelet approximate solutions of partial differential problems. Although these operators depend on the interpolating method used for the Haar wavelets regularization and the scale dimension space, they can be easily used to ...
Carlo Cattani, Luis M. Sánchez Ruiz
wiley   +1 more source

Vanishing moments for scaling vectors

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 36, Page 1897-1908, 2004., 2004
One advantage of scaling vectors over a single scaling function is the compatibility of symmetry and orthogonality. This paper investigates the relationship between symmetry, vanishing moments, orthogonality, and support length for a scaling vector Φ. Some general results on scaling vectors and vanishing moments are developed, as well as some necessary
David K. Ruch
wiley   +1 more source

Métodos tiempo-frecuencia basados en la transformada wavelet

open access: yesRevista de Matemática: Teoría y Aplicaciones, 2012
La información contenida en una señal analógica se evidencia por su representación numérica. El par de Fourier en dos representaciones complementarias explicita las estructuras temporales y frecuenciales. Para detectar y caracterizar eventos que combinan
Eduardo P. Serrano   +2 more
doaj   +1 more source

Infinite matrices, wavelet coefficients and frames

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 67, Page 3695-3702, 2004., 2004
We study the action of A on f ∈ L2(ℝ) and on its wavelet coefficients, where A=(almjk) lmjk is a double infinite matrix. We find the frame condition for A‐transform of f ∈ L2(ℝ) whose wavelet series expansion is known.
N. A. Sheikh, M. Mursaleen
wiley   +1 more source

Refinement equations for generalized translations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 64, Page 3435-3444, 2004., 2004
We study refinement equations which relate the dilation of a function with generalized translates of the function, consisting of convolutions against certain kernels including Cauchy and Gaussian densities; solutions are expressed in terms of solutions of the corresponding refinement equation involving ordinary translation.
W. Christopher Lang
wiley   +1 more source

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