The fit of a sum of exponentials to noisy data

DOI10.1016/0377-0427(87)90135-XzbMath0644.65010OpenAlexW2001957929MaRDI QIDQ1102697

Bart De Moor, Pieter P. N. De Groen

Publication date: 1987

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(87)90135-x

zbMATH Keywords

error estimatesfittingHankel matricessingular value decompositionscontrollability matrixobservability matrixapproximation by sums of exponentialsinfluence of noice

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical optimization and variational techniques (65K10) Controllability (93B05) Observability (93B07) Exponential sums (11T23) Approximation by other special function classes (41A30)

Related Items (7)

The fit of a sum of exponentials to noisy data ⋮ A state space method for estimating frequencies and dampings ⋮ A Data-Driven McMillan Degree Lower Bound ⋮ Vibration data analysis for a commercial aircraft ⋮ Exponential data fitting applied to infiltration, hydrograph separation, and variogram fitting ⋮ Applications of TLS and related methods in the environmental sciences ⋮ Fitting distribution-like data to exponential sums with genetic algorithms

Cites Work

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• The fit of a sum of exponentials to noisy data
• Die Konstruktion der Tschebyscheff-Approximierenden bei der Anpassung mit Exponentialsummen
• On Least Squares Exponential Sum Approximation With Positive Coefficients
• Algorithms for Separable Nonlinear Least Squares Problems
• Approximate linear realizations of given dimension via Ho's algorithm
• On Fitting Exponentials by Nonlinear Least Squares
• On Approximation by Positive Sums of Powers

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