ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application
DOI10.1007/s11075-022-01432-6OpenAlexW4310266194MaRDI QIDQ2679669
Nadiia Derevianko, Raha Razavi, Gerlind Plonka-Hoch
Publication date: 23 January 2023
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.03312
rational interpolationLoewner matricesprony methodAAA algorithmsparse cosine sumsToeplitz + Hankel matrices
Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Approximation by rational functions (41A20) General harmonic expansions, frames (42C15) Algorithms for approximation of functions (65D15) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Numerical analysis (65-XX)
Uses Software
Cites Work
- A comparison of companion matrix methods to find roots of a trigonometric polynomial
- Parameter estimation for nonincreasing exponential sums by Prony-like methods
- Fast ESPRIT algorithms based on partial singular value decompositions
- Nonlinear inversion of a band-limited Fourier transform
- Extrapolation methods theory and practice
- Numerical Fourier analysis
- Fast and numerically stable algorithms for discrete cosine transforms
- A derivation of extrapolation algorithms based on error estimates
- Optimal approximation with exponential sums by a maximum likelihood modification of Prony's method
- Computation of adaptive Fourier series by sparse approximation of exponential sums
- 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
- High accuracy trigonometric approximations of the real Bessel functions of the first kind
- The generalized operator based Prony method
- New representations of Padé, Padé-type, and partial Padé approximants
- Sparse polynomial interpolation in Chebyshev bases
- On approximation of functions by exponential sums
- Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise
- A Modified Prony Algorithm for Exponential Function Fitting
- Sparse Polynomial Interpolation in Nonstandard Bases
- Convergence of Linear Barycentric Rational Interpolation for Analytic Functions
- Exponential Data Fitting and its Applications
- Prony methods for recovery of structured functions
- Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients
- Sampling signals with finite rate of innovation
- Reconstruction of stationary and non-stationary signals by the generalized Prony method
- The AAA Algorithm for Rational Approximation
- Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions
- From ESPRIT to ESPIRA: estimation of signal parameters by iterative rational approximation
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