Parameter estimation for signals described by differential equations

DOI10.1080/00036810802555441zbMath1164.94003OpenAlexW2051408351MaRDI QIDQ3634309

Mamadou Mboup

Publication date: 24 June 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802555441

zbMATH Keywords

numerical integrationoperational calculusparametric estimationJacobi orthogonal polynomialsdifferential ring/field

Mathematics Subject Classification ID

Calculus of Mikusi?ski and other operational calculi (44A40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Commutative rings of differential operators and their modules (13N10) Differential algebra (12H05) Linear equations (linear algebraic aspects) (15A06) Classical operational calculus (44A45)

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Cites Work

• An algebraic frequency estimator for a biased and noisy sinusoidal signal
• Stochastic Perturbation Theory
• Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise
• Scaling for Numerical Stability in Gaussian Elimination
• Asymptotic wavelet and Gabor analysis: extraction of instantaneous frequencies
• A Modified Prony Algorithm for Exponential Function Fitting
• An algebraic framework for linear identification
• TIME SCALE APPROACH FOR CHIRP DETECTION

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