Prony’s Method Under an Almost Sharp Multivariate Ingham Inequality
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-017-9571-5
Abstract: The parameter reconstruction problem in a sum of Dirac measures from its low frequency trigonometric moments is well understood in the univariate case and has a sharp transition of identifiability with respect to the ratio… read more here.
Keywords: method almost; ingham inequality; multivariate; prony method ... See more keywords
Optimal approximation with exponential sums by a maximum likelihood modification of Prony’s method
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-019-09692-y
Abstract: We consider a modification of Prony’s method to solve the problem of best approximation of a given data vector by a vector of equidistant samples of an exponential sum in the 2-norm. We survey the… read more here.
Keywords: modification prony; maximum likelihood; prony method; method ... See more keywords
Enhancing Prony’s method by nuclear norm penalization and extension to missing data
Sign Up to like & getrecommendations! Published in 2017 at "Signal, Image and Video Processing"
DOI: 10.1007/s11760-017-1062-2
Abstract: Prony’s method is a widely used method for modelling signals using a finite sum of exponential terms. It has innumerable applications in weather modelling, finance, medical signal analysis, image compression, time series analysis, power grids,… read more here.
Keywords: nuclear norm; prony method; method; method nuclear ... See more keywords
An Adaptive Scheme to Improve Prony’s Method Performance to Estimate Signal Parameters of Power System Oscillations
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Instrumentation and Measurement"
DOI: 10.1109/tim.2022.3191721
Abstract: This work introduces a new methodology based on neural networks (NNs) and Prony’s method to estimate the signal parameters during power oscillations related to transient phenomena caused by severe perturbations. Power system dynamic analysis becomes… read more here.
Keywords: signal parameters; power system; prony method; power ... See more keywords
Robust Data Filtering for Estimating Electromechanical Modes of Oscillation via the Multichannel Prony Method
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Power Systems"
DOI: 10.1109/tpwrs.2017.2775063
Abstract: This paper develops a robust estimator of correlation as a data preprocessing stage to the Prony method that is able to suppress white impulsive noise. The method consists of the following steps. First, the bus… read more here.
Keywords: prony method; method; complex valued; data filtering ... See more keywords