Insight into frequency-domain extrapolations of least-squares-based curve fitting algorithms

Weihua Zhou, Jef Beerten

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

2 Citations (Scopus)


Many efforts have been made in order to identify state-space models of the black-box devices from their terminal admittance/impedance frequency responses. However, the band of the available admittance/impedance frequency responses is some-times relatively narrow, from which some out-of-band critical modes of interest can thus not be intuitively observed. In order to overcome this limitation, the vector fitting (VF) algorithm is used in this paper to identify some out-of-band critical modes of an artificially created rational function. On its basis, the sensitivity index which depicts the effect of the partial fraction term on the in-band fitting error is derived in order to explain the VF's extrapolation behavior, and its effectiveness is verified on the cases where out-of-band modes of different numbers coexist.

Original languageEnglish
Title of host publicationIECON 2021 - 47th Annual Conference of the IEEE Industrial Electronics Society
EditorsGiampaolo Buticchi, Thomas Strasser, Gabor Sziebig, Sehoon Oh, Jan Haase, Valeriy Vyatkin, Hipolito Guzman-Miranda, Jinhua She
Place of PublicationPiscataway NJ USA
PublisherIEEE, Institute of Electrical and Electronics Engineers
Number of pages6
ISBN (Electronic)9781665435543
Publication statusPublished - 2021
Externally publishedYes
EventAnnual Conference of the IEEE Industrial Electronics Society 2021 - Toronto, Canada
Duration: 13 Oct 202116 Oct 2021
Conference number: 47th (Proceedings) (Website) (Review and committee proof link )


ConferenceAnnual Conference of the IEEE Industrial Electronics Society 2021
Abbreviated titleIECON 2021
Internet address


  • Band-limited frequency responses
  • extrapolation
  • out-of-band modes
  • sensitivity index
  • vector fitting

Cite this