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A novel broadband macro‐modeling using piecewise vector fitting
Author(s) -
Zhang Weidong,
Xie Shuguo
Publication year - 2017
Publication title -
ieej transactions on electrical and electronic engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 30
eISSN - 1931-4981
pISSN - 1931-4973
DOI - 10.1002/tee.22347
Subject(s) - broadband , piecewise , frequency domain , frequency response , macro , section (typography) , pole–zero plot , piecewise linear function , algorithm , filter (signal processing) , computer science , control theory (sociology) , transfer function , electronic engineering , mathematics , engineering , mathematical analysis , telecommunications , electrical engineering , control (management) , artificial intelligence , computer vision , programming language , operating system
For broadband frequency domain responses of highly dynamical systems, because vector fitting always has low accuracy especially at resonant frequency response points, a new piecewise vector fitting algorithm is proposed. The complete broadband frequency range is divided into a number of sections. Vector fitting is then applied to each section to identify the poles and residues. Through frequency partitioning, the numerical conditioning of the pole and residue identification equations is improved. Then in each section a sub‐macromodel is obtained. Finally, by adding up the sub‐macromodels in each section, a novel broadband macro‐model with high accuracy is obtained for the whole broadband frequency domain. At the same time, to reduce redundant poles, in each section the number of poles is controlled by a predefined fitting error. An illustrative example involving a low‐pass filter is presented for validation of the proposed method. © 2016 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.