Wavelet analysis has strong advantages over Fourier analysis, as it allows a time-frequency representation domain, allowing optimal resolution and flexibility. Although OFDM principle has been proposed long time ago, its implementation is quite new and still raises some challenges as frame synchronization. Moreover, wavelet analysis has been proposed only recently for OFDM. While classical sync...

Baseline wander elimination is considered as a classical problem. We present a wavelet based search algorithm using the energy of the signal in different scales to isolate baseline wander from ECG signal. The algorithm calculates the wavelet packet coefficients. In each scale the energy of the signal is calculated. Comparison is made and the branch of the wavelet binary tree corresponding to hi...

the article introduces cyclic dilation groups and finite affine groups for prime integers, and  as an application of this theory it presents a unified group theoretical approach for the  cyclic wavelet transform (cwt) of prime dimensional periodic signals.

Abstract In this paper we introduce new function spaces which call anisotropic hyperbolic Besov and Triebel-Lizorkin spaces. Their definition is based on a Littlewood-Paley analysis involving an anisotropy vector only occurring in the smoothness weights. Such provide general natural setting order to understand what kind of can be described using wavelets (in literature also sometimes called ten...

This paper aims to study the q-wavelet and the q-wavelet transforms, associated with the q-Bessel operator for a fixed q ∈]0, 1[. As an application, an inversion formulas of the q-Riemann-Liouville and q-Weyl transforms using qwavelets are given. For this purpose, we shall attempt to extend the classical theory by giving their q-analogues.

This paper aims to study the q-wavelet and the q-wavelet transforms, associated with the q-Bessel operator for a fix q ∈]0, 1[. As application, an inversion formulas of the q-Riemann-Liouville and q-Weyl transforms using q-wavelets are given. For this purpose, we shall attempt to extend the classical theory by giving their q-analogues.

The paper is devoted to theoretical and computational studies on application of the multiresolutional wavelet-based homogenization approach in the Finite Element Method modeling of heterogeneous media. Multiresolutional homogenization scheme is proposed for 1D elastostatic equilibrium problem of periodic heterogeneous medium with Young modulus defined by some elementary wavelet functions and co...

In this letter, the wavelet transform is used to decompose classical linearly polarized plane light wave into a series of discrete Morlet wavelets. It found that energy can be discrete, associated with its structure.It also changeable basic packet or train vector $\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}}\over k} $ and structure form ${H_{0k}} = n{p_{0k}}\omega$ $(...

Classical nondecimated wavelet transforms are attractive for many applications. When the data comes from complex or irregular designs, the use of second generation wavelets in nonparametric regression has proved superior to that of classical wavelets. However, the construction of a nondecimated second generation wavelet transform is not obvious. In this paper we propose a new ‘nondecimated’ lif...