نتایج جستجو برای: finite wavelet group

تعداد نتایج: 1253819  

2001
Edwin S. Hong Richard E. Ladner Eve A. Riskin

This paper introduces Group Testing for Wavelet Packets (GTWP), a novel embedded image compression algorithm based on wavelet packets and group testing. This algorithm extends the Group Testing for Wavelets (GTW) algorithm [7] to handle wavelet packets. Like its predecessor, GTWP obtains good compression performance without the use of arithmetic coding. It also shows that the group testing meth...

Journal: :Neurocomputing 2013
Hongsun Fu Bo Han Hongbo Liu

A wavelet multiscale iterative regularization method is proposed for the parameter estimation problems of partial differential equations. The wavelet analysis is introduced and a wavelet multiscale method is constructed based on the idea of hierarchical approximation. The inverse problem is decomposed into a sequence of inverse problems which rely on the scale variables and are solved approxima...

2002
Seok Won Lee

In this paper, Haar wavelet-based neural network is described for the identification and control of discrete-time nonlinear dynamical systems. Wavelets are suited to depict functions with local nonlinearities and fast variations because of their intrinsic properties of finite support and self-similarity. Due to the orthonormal properties of Haar wavelet functions, wavelet neural networks result...

Journal: :Journal of Fourier Analysis and Applications 2021

The wavelet group and representation associated with shifts coming from a two dimensional crystal symmetry $$\Gamma $$ dilations by powers of 3, are defined studied. main result is an explicit decomposition this $$3\Gamma -wavelet into irreducible representations the group. Because we prove that multiplicity free, direct integral essentially unique.

2009
S. M. Quraishi R. Gupta

In this paper the second generation wavelets are applied as a basis in finite element method. The wavelet basis is constructed over typical nonequispaced nodes and on boundaries. In addition the wavelet bases are tailored to the Poisson's operator. The wavelet basis is lifted to enforce operator orthogonality, this eliminates coupling between coarse and detail parts of the stiffness matrix. The...

2014

The wavelet transform is a very popular tool for signal processing and analysis. It is widely used for the analysis of non-stationary, non-periodic and transient signals. The popularity of the wavelet transforms is mainly due to their ability to concentrate the energy of the processed signal into a finite number of coefficients. They are capable of providing the time-frequency localization of t...

Journal: :IEEE Trans. Signal Processing 1996
Mark J. Shensa

Discrete nonorthogonal wavelet transforms play an important role in signal processing by offering finer resolution in time and scale than their orthogonal counterparts. The standard inversion procedure for such transforms is a finite expansion in terms of the analyzing wavelet. While this approximation works quite well for many signals, it fails to achieve good accuracy or requires an excessive...

2017
JAKOB LEMVIG

Given a real, expansive dilation matrix we prove that any bandlimited function ψ ∈ L(R), for which the dilations of its Fourier transform form a partition of unity, generates a wavelet frame for certain translation lattices. Moreover, there exists a dual wavelet frame generated by a finite linear combination of dilations of ψ with explicitly given coefficients. The result allows a simple constr...

Journal: :Statistics and Computing 2004
Thomas C. M. Lee Hee-Seok Oh

In Oh, Naveau and Lee (2001) a simple method is proposed for reducing the bias at the boundaries for wavelet thresholding regression. The idea is to model the regression function as a sum of wavelet basis functions and a low-order polynomial. The latter is expected to account for the boundary problem. Practical implementation of this method requires the choice of the order of the low-order poly...

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