Extrapolation of band-limited frequency responses for out-of-band modal synthesis

Weihua Zhou, Jef Beerten

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

1 Citation (Scopus)


The bandwidth of the measured or simulated frequency responses is sometimes relatively narrow, resulting in that some out-of-band modes of interest cannot be directly observed from the band-limited frequency responses. Although various kinds of curve fitting algorithms aim at generating linear or nonlinear transfer functions for these frequency samples, their fitting objective is commonly minimizing the in-band fitting errors, whereas their reproduction/identification capabilities for the out-of-band modes are usually ignored and may be not satisfying. To fill this research gap, this paper, based on the sufficient excavation of the in-band frequency responses information induced by the out-of-band partial fraction terms, develops an extrapolation method for the band-limited frequency responses in order to identify or synthesize the out-of-band modes. The effectiveness of the proposed out-of-band modal synthesis method is validated on artificially created rational functions with different numbers of out-of-band modes. The proposed frequency-domain extrapolation method can obtain unknown and much modal information from known and little modal information, which would be a desirable tool to identify the modes of interest not located within the available frequency interval.

Original languageEnglish
Title of host publication2022 International Power Electronics Conference (IPEC-Himeji 2022 - ECCE Asia)
EditorsJunichi Itoh
Place of PublicationPiscataway NJ USA
PublisherIEEE, Institute of Electrical and Electronics Engineers
Number of pages6
ISBN (Electronic)9784886864253
ISBN (Print)9781665416313
Publication statusPublished - 2022
Externally publishedYes
EventInternational Power Electronics Conference (IPEC-ECCE-ASIA) 2022 - Himeji, Japan
Duration: 15 May 202219 May 2022
https://ieeexplore.ieee.org/xpl/conhome/9806820/proceeding (Proceedings)
https://www.ipec2022.org/index.html (Website)


ConferenceInternational Power Electronics Conference (IPEC-ECCE-ASIA) 2022
Abbreviated titleIPEC-Himeji 2022-ECCE Asia
Internet address


  • Band-limited frequency response
  • curve fitting
  • extrapolation
  • modal synthesis
  • out-of-band mode

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