Baseline wander elimination is considered a classical problem. In electrocardiography (ECG) signals, baseline drift can influence the accurate diagnosis of heart disease such as ischemia and arrhythmia. We present a wavelet-transform- (WT-) based search algorithm using the energy of the signal in different scales to isolate baseline wander from the ECG signal. The algorithm computes wavelet pac...

This paper deals with the application of the wavelet transform to hierarchical texture analysis. The main goal is the design of texture-matched FIR-filterbanks as the dyadic (2-channel) orthogonal and the M-channel biorthogonal wavelet filterbanks. The new approach represents a generalization of the already known purely mathematically-oriented design methods for multirate and wavelet filterbank...

The denoising of a natural image corrupted by noise is a classical problem in image processing. In this paper, an efficient algorithm of image denoising based on multi-objective optimization in discrete wavelet transform (DWT) domain is proposed, which can achieve the Pareto optimal wavelet thresholds. First, the multiple objectives for image denoising are presented, then the relation between t...

A wavelet method is proposed for solving a class of nonlinear timedependent partial differential equations. Following this method, the nonlinear equations are first transformed into a system of ordinary differential equations by using the modified wavelet Galerkin method recently developed by the authors. Then, the classical fourth-order explicit Runge-Kutta method is employed to solve the resu...

The asymptotic behavior of the dual filters associated with biorthogonal spline wavelet (BSW) systems and general biorthogonal Coifman wavelet (GBCW) systems are studied. As the order of the wavelet systems approaches infinity, the magnitude responses of the dual filters in the BSW systems either diverge or converge to some nonideal frequency responses. However, the synthesis filters in the GBC...

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...

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...