@article{10902/18235, year = {2019}, month = {7}, url = {http://hdl.handle.net/10902/18235}, abstract = {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 [1], [2]. 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 [3]-[6]. 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.}, organization = {This work was supported in part by the French Space Agency (CNES) under projects R-S10/TG-0001-019 and R-S14/TG-0001-019; by a joint Ph.D. research grant from CNES and Thales Alenia Space, France; by project TEC2015-67217-R (MINECO/FEDER); and by the Basque Country Government through project IT1104-16.}, publisher = {Institute of Electrical and Electronics Engineers Inc.}, publisher = {IEEE Microwave Magazine, 2019, 20(7), 36-54}, title = {Pole-zero identification: unveiling the critical dynamics of microwave circuits beyond stability analysis}, author = {Collantes Metola, Juan María and Mori Carrascal, Libe and Anakabe Iturriaga, Aitziber and Otegi Urdanpilleta, Nerea and Lizarraga Mallo, Ibone and Ayllon, Natanael and Ramírez Terán, Franco Ariel and Armengaud, Vicent and Soubercaze-Pun, Geoffroy}, }