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Parametric modeling of transient electromagnetic systems
Author(s) -
Dudley D. G.
Publication year - 1979
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs014i003p00387
Subject(s) - impulse response , impulse (physics) , nonlinear system , parametric statistics , parametric model , computer science , mathematics , transient (computer programming) , system identification , estimation theory , noise (video) , control theory (sociology) , algorithm , mathematical analysis , data modeling , statistics , physics , operating system , control (management) , quantum mechanics , database , artificial intelligence , image (mathematics)
The modeling of a transient electromagnetic system as a single‐input, single‐output, linear, causal process is considered. Two canonical forms are discussed; one for impulse function input and the other for more general input. Expressions are derived for errors in the estimation of the model parameters caused by errors in the process data. It is shown that Prony's method is a special case of the impulse function model and that serious errors occur in attempts to apply the method in a noisy environment. It is also shown that least squares estimation of the model parameters produces biased results and that attempts to overcome this problem have led to nonlinear equation sets. Some recommendations are made concerning noise identification and filtering in order to improve results.