On the distribution of poles of Padé approximants to the \(Z\)-transform of complex Gaussian white noise

DOI10.1016/j.jat.2004.10.014zbMath1067.41008OpenAlexW1973930487MaRDI QIDQ1775005

Piero Barone

Publication date: 4 May 2005

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2004.10.014

zbMATH Keywords

Padé approximantsRandom polynomialsLogarithmic potentialsRandom determinants

Mathematics Subject Classification ID

Padé approximation (41A21)

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Cites Work

• Approximants de Padé
• Orthogonal polynomials, random matrices and the numerical inversion of the Laplace transform of positive functions
• Padé approximations in noise filtering
• Convergence of Padé approximants to quasianalytic functions beyond natural boundaries
• Some properties of the asymptotic location of poles of Pade approximants to noisy rational functions, relevant for modal analysis
• Asymptotic zero distribution of orthogonal polynomials in sinusoidal frequency estimation
• Application of the Padé Method to Solving the Noisy Trigonometric Moment Problem: Some Initial Results
• Reconstruction of a Piecewise Constant Function from Noisy Fourier Coefficients by Padé Method
• Inequalities: theory of majorization and its applications
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