On the use of orthogonal polynomials in high order frequency domainsystem identification and its application to modal parameter estimation

摘要

In this paper a maximum likelihood frequency domain identificationtechnique is presented for the parametric transfer function of very highorder linear time invariant systems. Through the use of orthogonalpolynomials, the numerical stability of both the estimation and thecalculation of derived quantities (zeros, poles) is obtained.Stochastical uncertainty bounds are provided for both estimated andderived quantities. The method will be used to perform theidentification of modal analyses problems: a 50-mode simulated systemand a 60-mode measured beam-structure