On the problem of parameter estimation in exponential sums
From MaRDI portal
Publication:431153
DOI10.1007/s00365-011-9136-9zbMath1254.94015OpenAlexW1972401324MaRDI QIDQ431153
Jürgen Prestin, Hrushikesh N. Mhaskar, Frank-Dieter Filbir
Publication date: 26 June 2012
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00365-011-9136-9
Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15) Numerical methods for trigonometric approximation and interpolation (65T40)
Related Items
Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients, Recovery of Atomic Measures on the Unit Sphere, Parameter estimation for nonincreasing exponential sums by Prony-like methods, A Fast and Accurate Numerical Method for the Computation of Unstable Micromagnetic Configurations, Reconstruction of polygonal shapes from sparse Fourier samples, A multivariate generalization of Prony's method, Signal decomposition and analysis via extraction of frequencies, Recovery of periodicities hidden in heavy‐tailed noise, Spherical Bessel transform via exponential sum approximation of spherical Bessel function, Sparse polynomial interpolation in Chebyshev bases, Fast ESPRIT algorithms based on partial singular value decompositions, Applications of classical approximation theory to periodic basis function networks and computational harmonic analysis, Stable soft extrapolation of entire functions, Prony's method under an almost sharp multivariate Ingham inequality, Stability and super-resolution of generalized spike recovery, How many Fourier samples are needed for real function reconstruction?, Exact reconstruction of sparse non-harmonic signals from their Fourier coefficients, Super-resolution meets machine learning: approximation of measures, Estimate the spectrum of affine dynamical systems from partial observations of a single trajectory data
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On local smoothness classes of periodic functions
- On the tractability of multivariate integration and approximation by neural networks
- Parameter estimation for exponential sums by approximate prony method
- Asymptotics for zeros of Szegő polynomials associated with trigonometric polynomial signals
- Detection of edges in spectral data
- On the detection of singularities of a periodic function
- On approximation of functions by exponential sums
- Szegö polynomials associated with Wiener-Levinson filters
- Linear Prediction of Speech
- On strong tractability of weighted multivariate integration
- Accurate Reconstructions of Functions of Finite Regularity from Truncated Fourier Series Expansions
- A Refined Wiener–Levinson Method in Frequency Analysis
- Convergence of stochastic processes