Multiple input orthogonal polynomial parameter estimation

Comparative Study of Modal Analysis Techniques for Bridge Dynamic Characteristics

“…equation (14) without the terms in u k : Although no IRFs can be computed, a similar algorithm can be used that is based on output covariances instead. Output covariances are defined as…”

“…The method was introduced by Richardson and Formenti [13] and was extended to the multiple input (or polyreference) case by Van der Auweraer and Leuridan [14]. It can be shown that the FRF matrix can be parameterised as an RFP model:…”

Exploiting vibration-based spectral signatures for automatic target recognition

“…9, 10 In order to identify frequencies consistenly present within the measured signal(s) these diagrams are typically created using a parametric model using time domain methods such as the Eigensystem Realization Algorithm 3 or Ibrahim Time Domain 2 as well as frequency domain methods such as Polyreference Frequency Domain 11 or Orthogonal Polynomials. 1 The frequencies which are consistently identified regardles of model order are selected as operating frequencies of the system under test.…”

A Dual Fitting Algorithm for Modal Parameters Identification

“…Shih et al [3] listed the detailed procedure for generating a simplified version of Forsythe orthogonal polynomials and they extended it to the domain of global parameter estimation. Vold [4] and Auweraer and Leuridan [5] also researched modal parameters identified with orthogonal polynomials. The method based on Forsythe orthogonal polynomials is one of the most important methods in frequency domain identification.…”