Interpolation of amplitude-only S-parameter data of passive integrated devices in the frequency domain using the Cauchy Method

Magdalena Salazar-Palma, Tapan K. Sarkar, Arijit De

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

1 Scopus citations

Abstract

This paper deals with the application of the Cauchy Method to interpolate the S-parameter of a passive integrated device of which amplitude-only data over a given frequency band are known. An approximation of the amplitude-only data by a ratio of two polynomials is done. The coefficients of the polynomials depend on the data set itself. 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 a Singular Value Decomposition (SVD) is used to properly estimate the dimension of the null space, and hence calculate the value of the coefficients. Once these coefficients are computed using the amplitude-only S-parameter data, the response can be interpolated over other frequencies of interest. A numerical example is provided to show the applicability of the Cauchy Method in interpolating the amplitude-only S-parameter data over a whole frequency band.

Original languageEnglish (US)
Title of host publicationEuropean Microwave Week 2011
Subtitle of host publication"Wave to the Future", EuMW 2011, Conference Proceedings - 41st European Microwave Conference, EuMC 2011
Pages5-8
Number of pages4
StatePublished - Dec 1 2011
Event14th European Microwave Week 2011: "Wave to the Future", EuMW 2011 - 41st EuropeanMicrowave Conference, EuMC 2011 - Manchester, United Kingdom
Duration: Oct 10 2011Oct 13 2011

Publication series

NameEuropean Microwave Week 2011: "Wave to the Future", EuMW 2011, Conference Proceedings - 41st European Microwave Conference, EuMC 2011

Other

Other14th European Microwave Week 2011: "Wave to the Future", EuMW 2011 - 41st EuropeanMicrowave Conference, EuMC 2011
CountryUnited Kingdom
CityManchester
Period10/10/1110/13/11

Keywords

  • Cauchy Method
  • Singular Value Decomposition (SVD)
  • Total Least Squares (TLS)
  • amplitude-only data
  • interpolation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Salazar-Palma, M., Sarkar, T. K., & De, A. (2011). Interpolation of amplitude-only S-parameter data of passive integrated devices in the frequency domain using the Cauchy Method. In European Microwave Week 2011: "Wave to the Future", EuMW 2011, Conference Proceedings - 41st European Microwave Conference, EuMC 2011 (pp. 5-8). [6101856] (European Microwave Week 2011: "Wave to the Future", EuMW 2011, Conference Proceedings - 41st European Microwave Conference, EuMC 2011).