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Main Title Sampling and Data Analysis Properties of Prony's Method Applied to Model Identification.
Author Crittenden, J. L. ; Mulholland, R. J. ; Hill, IV, J. ; Martinez, E. F. ;
CORP Author Conoco, Inc., Ponca City, OK.;Environmental Research Lab., Athens, GA.
Year Published 1983
Report Number EPA-R-806330; EPA-600/J-83-059;
Stock Number PB84-102474
Additional Subjects Mathematical models ; Monte Carlo method ; Regression analysis ; Simulation ; Exponential functions ; Sampling theory ; Polynomials ; Matrices(Mathematics) ; Pesticides ; Water pollution ; Reprints ; Prony method ; Continuous time systems ; Time invariant systems ; Parameter estimation ; Systems theory ; Microcosms ; Parathion/methyl
Library Call Number Additional Info Location Last
NTIS  PB84-102474 Some EPA libraries have a fiche copy filed under the call number shown. 07/26/2022
Collation 17p
The advantages and limitations of Prony's (1795) method as a scheme for model identification are explored. A description of the data requirements is followed by a presentation of a theory for bounds on the sample period for data collection. The validity of the existence of a sample period window is tested by Monte Carlo simulations. Many of the results presented in this paper are compared with those obtained with regression analysis techniques. Finally, using measured data, Prony's method is applied to the identification of a dynamic model for the movement of toxic material through an aquatic microcosm.