Using the Daubechies wavelet theory we establish rational wavelet decompositions of the Hardy–Sobolev classes on the half-plane. The decay of wavelet coefficients is analyzed and error bounds for approximation are given. We give applications to the modeling of linear systems and to the model reduction of infinite-dimensional systems.

In this paper we solve the Laplace equation by solving a boundary integral equation in a wavelet basis. In wavelet basis the discretized equations preserve their good conditioning while their sparse structures speed up iterative solvers. We analyze the behavior of GCR algorithms under wavelet transformations and in non-standard form, the optimal choice of Daubechies lters and truncation strateg...

In the theory of wavelet frames, known Daubechies bases have been generalized to compactly supported (Daubechies-like) while bandlimited Meyer not date. this study, we will generalize basis into non-separable Meyer-like frames. By using a characteristic function mask Fourier transform one-dimensional scaling with width parameter, can produce family frame functions and associated After that, by ...

Moving object detection is a fundamental task for a variety of traffic applications. In this paper the Daubechies and biorthogonal wavelet families are exploited for extracting the relevant movement information in moving image sequences in a 3D wavelet-based segmentation algorithm. The proposed algorithm is applied for traffic monitoring systems. The objective and subjective experimental result...

We show that asymptotic estimates for the growth in L(R)-norm of a certain subsequence of the basic wavelet packets associated with a finite filter can be obtained in terms of the spectral radius of a subdivision operator associated with the filter. We obtain lower bounds for this growth for p 2 using finite dimensional methods. We apply the method to get estimates for the wavelet packets assoc...

In the computation of forward and inverse Discrete Wavelet Transform (DWT) using Cellular Neural Network (CNN), templates that mimic Haar wavelet are used. It is well known that Daubechies wavelet is the most popular wavelet used in the computation of DWT coefficients. This paper presents an approach towards the design of templates that mimic Daubechies wavelets. A global search algorithm, name...

This paper presents a novel Daubechies-based kernel Principal Component Analysis (PCA) method by integrating the Daubechies wavelet representation of palm images and the kernel PCA method for palmprint recognition. The palmprint is first transformed into the wavelet domain to decompose palm images and the lowest resolution subband coefficients are chosen for palm representation. The kernel PCA ...

This paper presents MATLAB programs for generating the coefficients of the lowpass analysis filter corresponding to orthonormal wavelet analyses. One of the programs generates the famous Daubechies maxflat wavelets, and a second generates the Daubechies complex symmetric orthonormal wavelets. The remaining two programs generate the space of all orthonormal wavelets in terms of parameterizations...

Digital mammograms are coupled with noise which makes de-noising a challenging problem. In the literature, few wavelets like daubechies db3 and haar have been used for de-noising medical images. However, wavelet filters such as sym8, daubechies db4 and coif1 at certain level of soft and hard threshold have not been taken into account for mammogram images. Therefore, in this study five wavelet f...

This chapter illustrates the use of Gabor frame analysis to derive results on the spectral properties of integral and pseudodifferential operators. In particular, we obtain a sufficient condition on the kernel of an integral operator or the symbol of a pseudodifferential operator which implies that the operator is trace-class. This result significantly improves a sufficient condition due to Dau...