Application of the Padé Method to Solving the Noisy Trigonometric Moment Problem: Some Initial Results

DOI10.1137/S0036139995268742zbMath0918.41015OpenAlexW2004280970MaRDI QIDQ4388827

Piero Barone, Riccardo March

Publication date: 10 May 1998

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139995268742

zbMATH Keywords

orthogonal polynomialsPadé approximantsCauchy integralssuperresolution

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Padé approximation (41A21) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (5)

On the condensed density of the generalized eigenvalues of pencils of Gaussian random matrices and applications ⋮ Kernel density estimation via diffusion and the complex exponentials approximation problem ⋮ On the distribution of poles of Padé approximants to the \(Z\)-transform of complex Gaussian white noise ⋮ A new transform for solving the noisy complex exponentials approximation problem ⋮ Orthogonal polynomials, random matrices and the numerical inversion of the Laplace transform of positive functions

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