Pole-zero identification: unveiling the critical dynamics of microwave circuits beyond stability analysis
Stability analysis with Pole-zero Identification: unveiling the critical dynamics of microwave circuits
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AuthorCollantes Metola, Juan María; Mori Carrascal, Libe; Anakabe Iturriaga, Aitziber; Otegi Urdanpilleta, Nerea; Lizarraga Mallo, Ibone; Ayllon, Natanael; Ramírez Terán, Franco Ariel; Armengaud, Vicent; Soubercaze-Pun, Geoffroy
The term <;italic>pole-zero identification<;/italic> refers to obtaining the poles and zeros of a linear (or linearized) system described by its frequency response. This is usually done using optimization techniques (such as least squares, maximum likelihood estimation, or vector fitting) that fit a given frequency response of the linear system to a transfer function defined as the ratio of two polynomials , . This kind of linear system identification in the frequency domain has numerous applications in a wide variety of engineering fields, such as mechanical systems, power systems, and electromagnetic compatibility. In the microwave domain, rational approximation is increasingly used to obtain black-box models of complex passive structures for model order reduction and efficient transient simulation. An extensive bibliography on the matter can be found in -. In this article, we focus on a different application of pole-zero identification. We review the different ways in which pole-zero identification can be applied to nonlinear circuit design, for power-amplifier stability analysis, and more. We provide a comprehensive view of recent approaches through illustrative application examples. Other uses for rational-approximation techniques are beyond the scope of this article.