Accession Number : ADA261126

Title :   Estimation of Coefficients in a Rational Function from Observed Values.

Descriptive Note : Technical rept.,

Corporate Author : AERONAUTICAL RESEARCH LABS MELBOURNE (AUSTRALIA)

Personal Author(s) : Emslie, Betty

Report Date : DEC 1992

Pagination or Media Count : 22

Abstract : A method for estimating the coefficients in a rational function representation of the frequency response function of a dynamic system is presented. A nonlinear least squares approach is used and this requires initial estimates for the coefficients. The first attempt to find initial estimates was not satisfactory, but a second approach, which can be thought of as a linear approximation to the nonlinear problem, was much more successful. Tests have been carried out with both generated and experimental data and reasonable estimates have been achieved.... Coefficients, Rational functions, Frequency response, Dynamical systems, Least squares method.

Descriptors :   *COEFFICIENTS, *ESTIMATES, *FREQUENCY RESPONSE, DYNAMICS, EXPERIMENTAL DATA, FREQUENCY, LEAST SQUARES METHOD, RATIONAL FUNCTIONS, TEST AND EVALUATION, DAMPING, NONLINEAR ANALYSIS, SPECTRUM ANALYZERS, AUSTRALIA.

Subject Categories : Statistics and Probability
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE