Introduction: Multidimensional magnetic resonance spectroscopy (MRS) can provide additional information at the expense of longer acquisition time than 1D MRS. Assuming 2D MRS is sparse in wavelet domain, Iddo[1] first introduced compressed sensing (CS) [2,3] to reconstruct multidimensional MRS from partial and random free induction decay (FID) data. However, the darkness in 1D MRS derives from ...

Abstract We study approximation properties of multivariate periodic functions from weighted Wiener spaces by sparse grid methods constructed with the help quasi-interpolation operators. The class such operators includes classical interpolation and sampling operators, Kantorovich-type scaling expansions associated wavelet constructions, others. obtain rate convergence corresponding in norms as w...

The periodic generalized harmonic wavelet (PGHW) method is used to analyze the response of chain-like multi-degree-of-freedom (MDOF) nonlinear structural system with seismic excitation in time and frequency domain. First, theoretical background PGHW briefly introduced, relationship between power spectral density (PSD) stochastic process corresponding coefficient given. Next, wavelet-Galerkin st...

We give de nitions of Multiresolution analysis and wavelet decomposition for a wide range of quasi Banach spaces of periodic distributions Elementary properties of such MRA are investigated Economical algorithms of wavelet decomposition and reconstruction are represented x Introduction We consider a general approach to de nition of Multiresolution analysis MRA fV g j of a broad range of quasi B...

Introduction Cardiovascular disease is a major cause of premature dying. If any patient is diagnosed at early stage of cardiovascular disease [(myocardial infarction (MI)], it may be possible to reverse disease process. Functional behavior of heart is represented by electrocardiogram (ECG), signals of which are quasiperiodic (Fig. 1). Various transform techniques (Fourier, wavelet etc.) are ine...

Vidya Venkatachalam and Jorge L. Aravena Department of Electrical and Computer Engineering Louisiana State University, Baton Rouge, LA 70803-5901 Tel : (504) 388-5537, Fax : (504) 388-5200 Email : [email protected] ABSTRACT This paper presents results on the multiresolution analysis of nonstationary signals with the objective of detecting underlying periodic phenomena. Wavelet packet analysis ...

Image fusion can synthesize many images from different sensors into a picture which can meet specific application by using a mathematical model. It can effectively combine the advantages from different images and improve the analysis ability (Blum et al., 2005). In recent years, the image fusion in automatic target recognition, computer vision, remote sensing, robots, medical image processing a...

In the present paper we study quasi-Monte Carlo methods to integrate functions representable by generalized Haar series in high dimensions. Using (t; m; s)-nets to calculate the quasi-Monte Carlo approximation, we get best possible estimates of the integration error for practically relevant classes of functions. The local structure of the Haar functions yields interesting new aspects in proofs ...

We propose a general framework for computing invariant features from images. The proposed approach is based on a simple concept of basis expansion. It is widely applicable to many popular basis representations, such as wavelets 4, 5, 24, 25], short-time Fourier analysis 15, 30], and splines 2, 6, 33]. Exploiting formulations that use both global and local information about shape and color, the ...