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1998
The Haar basis is known since 1910. Here we consider the Haar basis on the real line IR and describe some of its properties which are useful for the construction of general wavelet systems. Let L2 (IR) be the space of all complex valued functions f on IR such that their L2-norm is finite: $$ \left\| {f\left\| {2 = \left( {\int_{ - \infty }^\infty {\
Wolfgang Härdle +3 more
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The Haar basis is known since 1910. Here we consider the Haar basis on the real line IR and describe some of its properties which are useful for the construction of general wavelet systems. Let L2 (IR) be the space of all complex valued functions f on IR such that their L2-norm is finite: $$ \left\| {f\left\| {2 = \left( {\int_{ - \infty }^\infty {\
Wolfgang Härdle +3 more
openaire +1 more source
Generalized Haar wavelets and frames
SPIE Proceedings, 2000Generalized Haar wavelets were introduced in connection with the problem of detecting specific periodic components in noisy signals. We showed that the non-normalized continuous wavelet transform of a periodic function taken with respect to a generalized Haar wavelet is periodic in time as well as in scale, and that generalized Haar wavelets are the ...
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Optical Haar wavelet transform
Optical Engineering, 1992An optical Haar mother wavelet is created with a Semetex 128 x 128 magneto-optic spatial light modulator. Two techniques for dilating the mother wavelet are explored: (1) aperture stopping and (2) operating the SLM in ternary phase-amplitude mode. Discrete resolution levels of a continuous wavelet transform are obtained by optically correlating a ...
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Fast Coding of Haar Wavelet Trees
2022 Data Compression Conference (DCC), 2022Dylan Tarter, Brian Nutter
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A numerical algorithm based on scale-3 Haar wavelets for fractional advection dispersion equation
Engineering Computations, 2021Sapna Paṇḍit, R C Mittal
exaly
State analysis of linear time delayed systems via Haar wavelets
Mathematics and Computers in Simulation, 1997Chun-Hui Hsiao
exaly
A numerical assessment of parabolic partial differential equations using Haar and Legendre wavelets
Applied Mathematical Modelling, 2013Imran Aziz
exaly

