On the Acceleration of the Vector Fitting for Multiport Large-Scale Macromodeling

Chiu Chih Chou, Jose E. Schutt-Aine

Research output: Contribution to journalArticlepeer-review


Vector fitting (VF) is a robust macromodeling method to construct rational models of a network based on tabulated frequency responses. When fitting a network with a large number of ports, the matrix equation in VF quickly grows into a formidable size. The conventional strategy is to break the equation into several small QR factorizations and then combine the results into a least-squares (LS) problem. In this letter, an alternative solution procedure is proposed, the complexity of which is 2.7 times smaller than the conventional approach in terms of floating-point operations (FLOPs). Test cases of 40-200-port data show that the actual computing time can be reduced by as much as 85%, which presents a considerable saving for large-scale problems.

Original languageEnglish (US)
JournalIEEE Microwave and Wireless Components Letters
StatePublished - Jan 2021


  • Acceleration
  • Eigenvalues and eigenfunctions
  • Integrated circuit modeling
  • Macromodeling
  • Mathematical model
  • Matrix decomposition
  • Microwave theory and techniques
  • Wireless communication
  • numerical techniques
  • system identification
  • vector fitting (VF).

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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