Parameter estimation for multivariate exponential sums

From MaRDI portal
Publication:2450046

zbMath1305.65093MaRDI QIDQ2450046

Daniel Potts, Manfred Tasche

Publication date: 14 May 2014

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/volumes/2011-2020/vol40/abstract_vol40_pp204-224.html




Related Items (35)

Polynomial-exponential decomposition from momentsAn extended Prony's interpolation scheme on an equispaced gridSparse high-dimensional FFT based on rank-1 lattice samplingExact reconstruction of extended exponential sums using rational approximation of their Fourier coefficientsProny's method in several variables: symbolic solutions by universal interpolationRecovery of Atomic Measures on the Unit SphereHigh-dimensional sparse FFT based on sampling along multiple rank-1 latticesMultivariate exponential analysis from the minimal number of samplesProny's method on the sphereParameter estimation for nonincreasing exponential sums by Prony-like methodsLearning algebraic decompositions using Prony structuresSampling the Fourier Transform Along Radial LinesHow many Fourier coefficients are needed?Reconstruction of polygonal shapes from sparse Fourier samplesA multivariate generalization of Prony's methodMUSIC for single-snapshot spectral estimation: stability and super-resolutionSparse Multidimensional Exponential Analysis with an Application to Radar ImagingRecovery of periodicities hidden in heavy‐tailed noiseA multifrequency MUSIC algorithm for locating small inhomogeneities in inverse scatteringA sparse FFT approach for ODE with random coefficientsFast ESPRIT algorithms based on partial singular value decompositionsProny's method in several variablesStructured low rank decomposition of multivariate Hankel matricesSignal recovery by discrete approximation and a Prony-like methodHigh-dimensional sparse Fourier algorithmsProny's method under an almost sharp multivariate Ingham inequalityESPRIT for Multidimensional General GridsA Factorization Method for Multifrequency Inverse Source Problems with Sparse Far Field MeasurementsHow many Fourier samples are needed for real function reconstruction?Multi-kernel unmixing and super-resolution using the modified matrix pencil methodModifications of Prony's method for the recovery and sparse approximation with generalized exponential sumsSuper-resolution for doubly-dispersive channel estimationA randomized multivariate matrix pencil method for superresolution microscopyMultivariate Vandermonde matrices with separated nodes on the unit circle are stableA sample efficient sparse FFT for arbitrary frequency candidate sets in high dimensions


Uses Software



This page was built for publication: Parameter estimation for multivariate exponential sums