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The Haar basis wavelet system

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
openaire   +1 more source

Generalized Haar wavelets and frames

SPIE Proceedings, 2000
Generalized 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 ...
openaire   +2 more sources

Optical Haar wavelet transform

Optical Engineering, 1992
An 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 ...
openaire   +1 more source

Haar Wavelets

2014
Ülo Lepik, Helle Hein
openaire   +2 more sources

Fast Coding of Haar Wavelet Trees

2022 Data Compression Conference (DCC), 2022
Dylan Tarter, Brian Nutter
openaire   +1 more source

State analysis of linear time delayed systems via Haar wavelets

Mathematics and Computers in Simulation, 1997
Chun-Hui Hsiao
exaly  

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