Title
Identification of microwave filters by analytic and rational H2 approximation
Abstract
In this paper, an original approach to frequency identification is explained and demonstrated through an application in the domain of microwave filters. This approach splits into two stages: a stable and causal model of high degree is first computed from the data (completion stage); then, model reduction is performed to get a rational low order model. In the first stage the most is made of the data taking into account the expected behavior of the filter. A reduced order model is then computed by rational H^2 approximation. A new and efficient method has been developed, improved over the years and implemented to solve this problem. It heavily relies on the underlying Hilbert space structure and on a nice parameterization of the optimization set. This approach guarantees the stability of the MIMO approximant of prescribed McMillan degree.
Year
DOI
Venue
2013
10.1016/j.automatica.2012.10.005
Automatica
Keywords
Field
DocType
Low-pass filters,System identification,Incomplete data,Model reduction,Analytic approximations,Rational approximation,Lossless rational matrices,Parameterization
Hilbert space,Microwave,Mathematical optimization,Parametrization,Control theory,MIMO,Low-pass filter,System identification,Mathematics,Causal model
Journal
Volume
Issue
ISSN
49
2
0005-1098
Citations 
PageRank 
References 
2
0.53
7
Authors
3
Name
Order
Citations
PageRank
Martine Olivi1147.92
Fabien Seyfert221.54
Jean-Paul Marmorat3121.60