Interpolation and Extrapolation of S-Parameter Data of a Microwave Filter in the Frequency Domain Using the Cauchy Method

Nicolas F. Reginelli, Tapan Kumar Sarkar, Magdalena Salazar-Palma

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

The interpolation and extrapolation of complex S-parameter data using the Cauchy method is described. An approximation of the complex S-parameter data is accomplished by a ratio of two polynomials. By applying the Cauchy method, an electromagnetic system is represented by a set of poles and zeros in the s-plane. The Total Least Squares (TLS) implementation of the Singular Value Decomposition (SVD) is used to estimate the dimension of the null space and hence calculate the value of the coefficients of the polynomials. Once these coefficients are computed, the complex S-parameter data can be interpolated or extrapolated over other frequencies of interest. A numerical example is provided to show the applicability of the Cauchy method in interpolating or extrapolating the complex S-parameter data over a whole frequency band including the pass and the stop bands.

Original languageEnglish (US)
Title of host publicationProceedings of the 2018 IEEE/MTT-S International Microwave Symposium, IMS 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages330-333
Number of pages4
Volume2018-June
ISBN (Print)9781538650677
DOIs
StatePublished - Aug 17 2018
Event2018 IEEE/MTT-S International Microwave Symposium, IMS 2018 - Philadelphia, United States
Duration: Jun 10 2018Jun 15 2018

Other

Other2018 IEEE/MTT-S International Microwave Symposium, IMS 2018
CountryUnited States
CityPhiladelphia
Period6/10/186/15/18

Keywords

  • Cauchy Method
  • extrapolation
  • interpolation
  • QR decomposition
  • Singular Value Decomposition (SVD)
  • Total Least Squares (TLS)

ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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    Reginelli, N. F., Sarkar, T. K., & Salazar-Palma, M. (2018). Interpolation and Extrapolation of S-Parameter Data of a Microwave Filter in the Frequency Domain Using the Cauchy Method. In Proceedings of the 2018 IEEE/MTT-S International Microwave Symposium, IMS 2018 (Vol. 2018-June, pp. 330-333). [8439416] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MWSYM.2018.8439416