New general formulation of the cauchy method for the accurate model extraction of higher order microwave systems

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 Periodical, Inc.