Title
Numerically robust transfer function modeling from noisy frequency domain data
Abstract
Using vector orthogonal polynomials as basis func- tions for the representation of the rational form of a linear time invariant system, in frequency domain identification problems, it is shown that the notorious numerical ill conditioning of these maximum likelihood problems can be overcome completely. For the identification of high order (100/100) systems operating over a wide frequency band, or even in the situation of over- or undermodelling, condition numbers less than 10 are reported for real measurements.
Year
DOI
Venue
2005
10.1109/TAC.2005.858651
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Robustness,Transfer functions,Frequency domain analysis,Polynomials,Frequency measurement,Frequency estimation,Equations,Vectors,Maximum likelihood estimation,Frequency response
Frequency domain,Mathematical optimization,Orthogonal functions,Linear system,Linear form,Orthogonal polynomials,Frequency band,Basis function,System identification,Mathematics
Journal
Volume
Issue
ISSN
50
11
0018-9286
Citations 
PageRank 
References 
5
0.57
7
Authors
4
Name
Order
Citations
PageRank
A. Bultheel111717.02
M. Van Barel2476.56
Yves Rolain320937.68
Rik Pintelon41011163.45