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 behaviour of the filter. A reduced order model is then computed by rational H2 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 parametrization of the optimization set. This approach guarantees the stability of the MIMO approximant of prescribed McMillan degree.
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Automatica, Elsevier, 2013, 49 (2), pp.317-325. 〈10.1016/j.automatica.2012.10.005〉
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Martine Olivi, Fabien Seyfert, Jean-Paul Marmorat. Identification of microwave filters by analytic and rational H2 approximation. Automatica, Elsevier, 2013, 49 (2), pp.317-325. 〈10.1016/j.automatica.2012.10.005〉. 〈hal-00753824〉

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