A discrete wavelet analysis of freak waves in the ocean.
A fast algorithm for filtering and wavelet decomposition on the sphere.
A fast numerical test of multivariate polynomial positiveness with applications
The paper presents a simple method to check a positiveness of symmetric multivariate polynomials on the unit multi-circle. The method is based on the sampling polynomials using the fast Fourier transform. The algorithm is described and its possible applications are proposed. One of the aims of the paper is to show that presented algorithm is significantly faster than commonly used method based on the semi-definite programming expression.
A Fast Transform for Spherical Harmonics.
A Fourier approach to model electromagnetic fields scattered by a buried rectangular cavity.
A general Hilbert space approach to framelets.
A Geometrical Problem Arising in a Signal Restoration Algorithm.
A new approach to nonsinusoidal steady-state power system analysis.
A new solution for the director relaxation problem in twisted nematic film based on wavelet analysis.
A new technique to estimate the regularity of refinable functions.
We study the regularity of refinable functions by analyzing the spectral properties of special operators associated to the refinement equation; in particular, we use the Fredholm determinant theory to derive numerical estimates for the spectral radius of these operators in certain spaces. This new technique is particularly useful for estimating the regularity in the cases where the refinement equation has an infinite number of nonzero coefficients and in the multidimensional cases.
A note on Newbery's algorithm for discrete least-squares approximation by trigonometric polynomials.
A note on the construction of nonseparable wavelet bases and multiwavelet matrix filters of , where .
A scale-space approach with wavelets to singularity estimation
This paper is concerned with the problem of determining the typical features of a curve when it is observed with noise. It has been shown that one can characterize the Lipschitz singularities of a signal by following the propagation across scales of the modulus maxima of its continuous wavelet transform. A nonparametric approach, based on appropriate thresholding of the empirical wavelet coefficients, is proposed to estimate the wavelet maxima of a signal observed with noise at various scales. In...
A scale-space approach with wavelets to singularity estimation
This paper is concerned with the problem of determining the typical features of a curve when it is observed with noise. It has been shown that one can characterize the Lipschitz singularities of a signal by following the propagation across scales of the modulus maxima of its continuous wavelet transform. A nonparametric approach, based on appropriate thresholding of the empirical wavelet coefficients, is proposed to estimate the wavelet maxima of a signal observed with noise at various scales....
A simple scheme for semi-recursive identification of Hammerstein system nonlinearity by Haar wavelets
A simple semi-recursive routine for nonlinearity recovery in Hammerstein systems is proposed. The identification scheme is based on the Haar wavelet kernel and possesses a simple and compact form. The convergence of the algorithm is established and the asymptotic rate of convergence (independent of the input density smoothness) is shown for piecewiseLipschitz nonlinearities. The numerical stability of the algorithm is verified. Simulation experiments for a small and moderate number of input-output...
A special Gaussian rule for trigonometric polynomials.
A survey on wavelet methods for (geo) applications.
Wavelets originated in 1980's for the analysis of (seismic) signals and have seen an explosion of applications. However, almost all the material is based on wavelets over Euclidean spaces. This paper deals with an approach to the theory and algorithmic aspects of wavelets in a general separable Hilbert space framework. As examples Legendre wavelets on the interval [-1,+1] and scalar and vector spherical wavelets on the unit sphere 'Omega' are discussed in more detail.
A wavelet Galerkin finite-element method for the biot wave equation in the fluid-saturated porous medium.
A wavelet Galerkin method applied to partial differential equations with variable coefficients.
A wavelet interpolation Galerkin method for the simulation of MEMS devices under the effect of squeeze film damping.