Reconstruction of stationary and non-stationary signals by the generalized Prony method

DOI10.1142/S0219530518500240zbMath1422.94015OpenAlexW2883562571MaRDI QIDQ5382491

Ingeborg Keller, Kilian Stampfer, Gerlind Plonka-Hoch

Publication date: 17 June 2019

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530518500240

zbMATH Keywords

exponential sumssignal reconstructionnon-stationary signalsempirical mode decompositiontrigonometric sumsGaussian chirpsgeneralized prony methodmodulated Gaussian windows

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (6)

Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients ⋮ ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application ⋮ Multiscale matrix pencils for separable reconstruction problems ⋮ The generalized operator based Prony method ⋮ Modifications of Prony's method for the recovery and sparse approximation with generalized exponential sums ⋮ Exact reconstruction of sparse non-harmonic signals from their Fourier coefficients

Uses Software

• FRESH

Cites Work

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• FRESH—FRI-Based Single-Image Super-Resolution Algorithm
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• A generalized Prony method for reconstruction of sparse sums of eigenfunctions of linear operators
• Hilbert–Huang Transform and Its Applications
• Prony methods for recovery of structured functions
• Sampling signals with finite rate of innovation

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