Two items will be presented in the talk. The rst one is modiication of classic Daubechies compactly supported wavelets preserving localization in time with the growth of smoothness. The second one is nonstation-ary wavelets with the use of scaling lters that vary from one scale to the next ner one. Wavelets are a tool for decomposing functions in various applications. It is closely connected wi...

Numerical optimization is used to construct new orthonormal compactly supported wavelets with Sobolev regularity exponent as high as possible among those mother wavelets with a fixed support length and a fixed number of vanishing moments. The increased regularity is obtained by optimizing the locations of the roots the scaling filter has on the interval (π/2, π). The results improve those obtai...

A new approach to the multiresolution time-domain (MRTD) algorithm is presented in this paper by introducing a field expansion in terms of biorthogonal scaling and wavelet functions. Particular focus is placed on the Cohen–Daubechies–Feauveau (CDF) biorthogonal-wavelet class, although the methodology is appropriate for general biorthogonal wavelets. The computational efficiency and numerical di...

This paper presents an algorithm based on the wavelet decomposition, for feature extraction from the ECG signal and recognition of four types of Ventricular Arrhythmias. A set of Discrete Wavelet Transform (DWT) coefficients, which contain the maximum information about the arrhythmia, was selected from the wavelet decomposition. The algorithm is applied on the ECG registrations from the MIT-BIH...

Wavelet applications to date have been dominated by signal and image processing. While perhaps not immediately obvious as a means of solving diierential equations, the growing body of literature in this area indicates that wavelets have a role to play here, too. Particularly attractive is their multilevel structure which leads to the possibility of data compression. In this paper we give some o...

1 Facultatea de Electronică şi Telecomunicaţii, Departamentul Comunicaţii Bd. V. Pârvan Nr. 2, 300223 Timişoara, e-mail [email protected] Abstract – This paper presents an in-depth investigation of DWTbased OFDM, by analyzing the influence of the wavelets mother choice on the BER performance for the transmission in a flat fading channel. Simulations made show the importance of this param...

We study the scaling behavior of the fluctuations, as extracted through wavelet coefficients based on discrete wavelets. The analysis is carried out on a variety of physical data sets, as well as Gaussian white noise and binomial multi-fractal model time series and the results are compared with continuous wavelet based average wavelet coefficient method. It is found that high-pass coefficients ...

Regression or function classes of Euclidean type with compact support and certain smoothness properties are shown to be PAC learnable by the Nadaraya-Watson estimator based on complete orthonormal systems. While requiring more smoothness properties than typical PAC formulations, this estimator is computationally efficient, easy to implement, and known to perform well in a number of practical ap...

A novel algebraic integer (AI) based multiencoding of Daubechies-12 2-D wavelet filters having error-free integer-based computation. Digital VLSI architectures employing parallel channels are proposed, physically realized and tested. The multi-encoded AI framework allows a multiplication-free and computationally accurate architectture. It also guarantees a noise-free computation throughput the ...