Results 161 to 170 of about 24,857 (199)
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1999
This chapter explains the nature of the simplest wavelets and an algorithm to compute a fast wavelet transform. Such wavelets have been called “Haar’s wavelets” since Haar’s publication in 1910 (reference [19] in the bibliography). To analyze and synthesize a signal—which can be any array of data—in terms of simple wavelets, this chapter employs shifts
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This chapter explains the nature of the simplest wavelets and an algorithm to compute a fast wavelet transform. Such wavelets have been called “Haar’s wavelets” since Haar’s publication in 1910 (reference [19] in the bibliography). To analyze and synthesize a signal—which can be any array of data—in terms of simple wavelets, this chapter employs shifts
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WEIGHTED HAAR WAVELETS ON THE SPHERE
International Journal of Wavelets, Multiresolution and Information Processing, 2007Starting from the one-dimensional Haar wavelets on the interval [0,1], we construct spherical Haar wavelets which are orthogonal with respect to a given scalar product. This scalar product induces a norm which is equivalent to the usual ‖ · ‖2norm of L2(𝕊2).
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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
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Haar wavelet method for solving Fisher’s equation
Applied Mathematics and Computation, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hariharan, G., Kannan, K., Sharma, K. R.
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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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Selective Crypting with Haar-Wavelets
2000The coefficients of a wavelet—decomposition form into different levels according to the size of the described details. This can be utilized to crypt only a part of the given data while keeping the rest unchanged so that critical information is filtered out.
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Haar Wavelets on Spherical Triangulations
2005We construct piecewise constant wavelets on spherical triangulations, which are orthogonal with respect to a scalar product on L2(\(\mathbb{S}\)2). Our classes of wavelets include certain wavelets obtained by Bonneau and by Nielson et al. We also prove the Riesz stability and show some numerical experiments.
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Redundant Multiscale Haar Wavelet Transforms
2015We consider a redundant lifting scheme for Haar wavelet transform that does not use the polyphase decomposition. We also extend the method to a two-dimensional triangular lattice, and define a nonseparable two-dimensional redundant Haar wavelet transform on the lattice.
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