Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions
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Publication:5864074
DOI10.1137/21M1420277MaRDI QIDQ5864074
Heather Wilber, Alex Townsend, Anil Damle
Publication date: 3 June 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.07324
Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Approximation by rational functions (41A20)
Related Items
Pole recovery from noisy data on imaginary axis, Analytic continuation from limited noisy Matsubara data, Numerical analytic continuation, ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application, AAA Rational Approximation on a Continuum, AAA interpolation of equispaced data
Uses Software
Cites Work
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- Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
- Parameter estimation for nonincreasing exponential sums by Prony-like methods
- A course in \(H_{\infty}\) control theory
- Nonlinear inversion of a band-limited Fourier transform
- Rational functions for guaranteed and experimentally well-conditioned global interpolation
- Barycentric formulas for interpolating trigonometric polynomials and their conjugates
- Some results on linear rational trigonometric interpolation
- Solving Burgers equation using optimal rational approximations
- Wavelets and signal processing
- An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
- Exponential node clustering at singularities for rational approximation, quadrature, and PDEs
- Conversions between barycentric, RKFUN, and Newton representations of rational interpolants
- Exact reconstruction of sparse non-harmonic signals from their Fourier coefficients
- A bootstrap method for sum-of-poles approximations
- On approximation of functions by exponential sums
- On calculating with B-splines
- Nonlinear approximation by sums of nonincreasing exponentials
- Chopping a Chebyshev Series
- 6 The Loewner framework for system identification and reduction
- Extension of Chebfun to Periodic Functions
- On the Gibbs Phenomenon and Its Resolution
- Rational Minimax Approximation via Adaptive Barycentric Representations
- Barycentric Lagrange Interpolation
- The numerical stability of barycentric Lagrange interpolation
- On the numerical stability of the second barycentric formula for trigonometric interpolation in shifted equispaced points
- Efficient Algorithms for Computing a Strong Rank-Revealing QR Factorization
- Fast and Accurate Con-Eigenvalue Algorithm for Optimal Rational Approximations
- Generalized Rational Variable Projection With Application in ECG Compression
- The AAAtrig Algorithm for Rational Approximation of Periodic Functions
- Fast and Accurate Computation of Gauss--Legendre and Gauss--Jacobi Quadrature Nodes and Weights
- Sampling signals with finite rate of innovation
- The RKFIT Algorithm for Nonlinear Rational Approximation
- Towards a Mathematical Theory of Super‐resolution
- Stabilized Numerical Analytic Prolongation with Poles
- The AAA Algorithm for Rational Approximation
