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

Daniele Traina, Giuseppe Macchiarella, Tapan Kumar Sarkar

Research output: Contribution to journalArticle

9 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)1957-1961
Number of pages5
JournalMicrowave and Optical Technology Letters
Issue number8
StatePublished - Aug 2007



  • Cauchy method
  • Condition number
  • Equilibration
  • Microwave devices
  • Modeling
  • Total least squares
  • Vandermonde matrix

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Atomic and Molecular Physics, and Optics

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