## Abstract

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 language | English (US) |
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Article number | 9258942 |

Pages (from-to) | 1-4 |

Number of pages | 4 |

Journal | IEEE Microwave and Wireless Components Letters |

Volume | 31 |

Issue number | 1 |

DOIs | |

State | Published - Jan 2021 |

Externally published | Yes |

## Keywords

- Macromodeling
- numerical techniques
- system identification
- vector fitting (VF)

## ASJC Scopus subject areas

- Condensed Matter Physics
- Electrical and Electronic Engineering