System identification of microwave filters from multiplexers by rational interpolation

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• 作者：Sanda Lefteriu^a ; ^{sanda.lefteriu@mines-douai.fr}Author Vitae ; Martine Olivi^b ; ^{martine.olivi@inria.fr}Author Vitae ; Fabien Seyfert^b ; ^{fabien.seyfert@inria.fr}Author Vitae ; Matteo Oldoni^c ; ^{matteo.oldoni@siaemic.com}Author Vitae
• 关键词：System identification ; Interpolation ; Continuous time filters ; Scattering parameters ; System transfer functions
• 刊名：Automatica
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：76
• 期：Complete
• 页码：367-377
• 全文大小：1126 K
• 卷排序：76

文摘

Microwave multiplexers are multi-port structures composed of several two-port filters connected to a common junction. This paper addresses the de-embedding problem, in which the goal is to determine the filtering components given the measured scattering parameters of the overall multiplexer at several frequencies. Due to structural properties, the transmission zeros of the filters play a crucial role in this problem, and, consequently, in our approach. We propose a system identification algorithm for deriving a rational model of the filters’ scattering matrix. The approach is based on rational interpolation with derivative constraints, with the interpolation conditions being located precisely at the filters’ transmission zeros.