A discrete wavelet analysis of freak waves in the ocean.
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Lin, En-Bing, Liu, Paul C. (2004)
Journal of Applied Mathematics
Böhme, Martin, Potts, Daniel (2003)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Petr Augusta, Petra Augustová (2018)
Kybernetika
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.
Martin J. Mohlenkamp (1999)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Fleming, John L., Moser, Jessica (2009)
Mathematical Problems in Engineering
Dominik Michel (2008)
Revista Matemática Complutense
Nir Cohen, Roy Meshulam (1998)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Ketabi, A., Khoshkholgh, M., Feuillet, R. (2009)
Mathematical Problems in Engineering
Kudreyko, Aleksey, Migranov, Nail (2011)
International Journal of Mathematics and Mathematical Sciences
Albert Cohen, Ingrid Daubechies (1996)
Revista Matemática Iberoamericana
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.
Faßbender, Heike (1996)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Karoui, Abderrazek (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Jérémie Bigot (2005)
ESAIM: Probability and Statistics
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...
Jérémie Bigot (2010)
ESAIM: Probability and Statistics
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....
Przemysław Śliwiński, Zygmunt Hasiewicz, Paweł Wachel (2013)
International Journal of Applied Mathematics and Computer Science
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...
Milovanovic, Gradimir V., Cvetkovic, Aleksandar S., Stanic, Marija P. (2007)
Banach Journal of Mathematical Analysis [electronic only]
Willi Freeden, Thorsten Maier, Steffen Zimmermann (2003)
Revista Matemática Complutense
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.
Zhang, Xinming, Liu, Jiaqi, Liu, Ke'an (2009)
Mathematical Problems in Engineering
Linhares de Mattos, José Roberto, Lopes, Ernesto Prado (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Li, Pu, Fang, Yuming (2010)
Mathematical Problems in Engineering
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