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New general formulation of the Cauchy method for the accurate model extraction of higher order microwave systems
Author(s) -
Traina Daniele,
Macchiarella Giuseppe,
Sarkar Tapan K.
Publication year - 2007
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.22627
Subject(s) - vandermonde matrix , cauchy matrix , microwave , cauchy distribution , matrix (chemical analysis) , order (exchange) , mathematics , engineering , computer science , mathematical analysis , telecommunications , physics , cauchy boundary condition , chemistry , chromatography , eigenvalues and eigenvectors , finance , quantum mechanics , economics , boundary value problem , free boundary problem
Abstract It is well known that a Vandermonde matrix generates an ill‐conditioned system matrix when applied with finite numerical precision. This deficiency affects the Cauchy method by restricting its application to only lower order systems. This paper presents an innovative and accurate general formulation of the Cauchy method to rectify this limitation and make the Cauchy method suitable for the model extraction of a higher order microwave systems. It has been successfully verified using examples of microwave base‐station filters and duplexers. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 1957–1961, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22627