Wavelet packet approximation

DOI10.1080/10652469.2016.1189912zbMath1348.42044OpenAlexW2470437475MaRDI QIDQ2816584

Varinder Kumar, Nikhil Khanna, S. K. Kaushik

Publication date: 23 August 2016

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2016.1189912

zbMATH Keywords

Hilbert transformapproximation of compactly supported functionsHartley-like wavelet packetsorthogonal Coifman wavelet packetsorthonormal wavelet packetswavelet packet expansions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (10)

Wavelet packet analysis associated with the Weinstein operator on \(\mathbb{R}^{d+1}_+\) ⋮ Wavelet packet approximation theorem forH^rtype norm ⋮ Wavelet approximation of functions belonging to generalized Lipschitz class by extended Haar wavelet series and its application in the solution of Bessel differential equation using Haar operational matrix ⋮ Approximation of a function \(f\) belonging to Lipschitz class by Legendre wavelet method ⋮ Some properties of fractional Boas transforms of wavelets ⋮ Some remarks on Boas transforms of wavelets ⋮ Periodized wavelet packets on bounded subsets of \(\mathbb{R}\) ⋮ Wavelet packets: Uniform approximation and numerical integration ⋮ Some results on vanishing moments of wavelet packets, convolution and cross-correlation of wavelets ⋮ An Improved One Point Quadrature Formula

Cites Work

• On the Instability of Arbitrary Biorthogonal Wavelet Packets
• A theory for multiresolution signal decomposition: the wavelet representation
• Construction of Hilbert Transform Pairs of Wavelet Bases and Gabor-Like Transforms
• On the Hilbert Transform of Wavelets
• Orthonormal Bases of Compactly Supported Wavelets II. Variations on a Theme
• Nonorthogonal Wavelet Packets
• On Fourier transforms of wavelet packets

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