The differentiation matrix for a Daubechies-based wavelet basis defined on an interval will be constructed. It will be shown that the differentiation matrix based on the currently available boundary constructions does not maintain the superconvergence encountered under periodic boundary conditions. BJgy .. .. . .. .A0000 w__ •t!ar ~'..,-

Explicit solutions are given for the rational function P (z) for two classes of IIR orthogonal two-band wavelet bases, for which the scaling filter is maximally flat. P (z) denotes the rational transfer function H(z)H(1=z), where H(z) is the (lowpass) scaling filter. The first is the class of solutions that are intermediate between the Daubechies and the Butterworth wavelets. It is found that t...

This paper studies long-memory properties of stock prices in PIIGS economies (Portugal, Ireland, Italy, Greece and Spain) and measures the evolution of their long-memory phenomena over time. We use the Hurst exponent as a measure of long-range dependence in stock prices. We apply wavelet analysis (based on Haar, Daubechies-4, Daubechies12 and Daubechies-20 wavelets) for computation of Hurst exp...

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...

At the 60 GHz band a massive amount of spectral space (5 GHz) has been allocated unlicensed worldwide for dense wireless local communications. OFDM has gained much popularity in the field of wireless communication because of its ability to transfer the data at higher rate, high bandwidth efficiency and robustness to multipath and delay.The BER performance of conventional FFT-OFDM system is comp...

A new set of wavelet filter families has been added to the systematized collection of Daubechies wavelets. This new set includes complex and real, orthogonal and biorthogonal, least and most disjoint families defined using constraints derived from the principle of separably disjoint root sets in the complex z-domain. All of the new families are considered to be constraint selected without a sea...

entropy as a measure of uncertainty was used to represent the results of the wavelet technique in electrochemical noise analysis. the experimental signals were obtained by recording the electrochemical potential and current noise of 7075 aluminum alloy in 3.5% nacl solution. the electrochemical potential and current noise were decomposed into 16 levels using daubechies wavelets. wavelet output ...

Image denoising is a very important step in Cryo-transmission electron microscopy (cryo-TEM) and energy filtering TEM images, before the three-dimensional reconstruction (tomography reconstruction), because they normally have a problem of high noise level, which causes a loss in the contained information and difficult the process of alignment required for tomographic 3D reconstruction. This pap...

We demonstrate that Daubechies wavelets can be used to construct a minimal set of optimized localized adaptively contracted basis functions in which the Kohn-Sham orbitals can be represented with an arbitrarily high, controllable precision. Ground state energies and the forces acting on the ions can be calculated in this basis with the same accuracy as if they were calculated directly in a Daub...