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

doi:10.1109/MWSYM.2018.8439416

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

Department of Electrical Engineering & Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Proceedings of the 2018 IEEE/MTT-S International Microwave Symposium, IMS 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	330-333
Number of pages	4
Volume	2018-June
ISBN (Print)	9781538650677
DOIs	https://doi.org/10.1109/MWSYM.2018.8439416
State	Published - Aug 17 2018
Event	2018 IEEE/MTT-S International Microwave Symposium, IMS 2018 - Philadelphia, United States Duration: Jun 10 2018 → Jun 15 2018

Other

Other	2018 IEEE/MTT-S International Microwave Symposium, IMS 2018
Country/Territory	United States
City	Philadelphia
Period	6/10/18 → 6/15/18

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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10.1109/MWSYM.2018.8439416

Cite this

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

Interpolation and Extrapolation of S-Parameter Data of a Microwave Filter in the Frequency Domain Using the Cauchy Method. / Reginelli, Nicolas F.; Sarkar, Tapan Kumar; Salazar-Palma, Magdalena.

Proceedings of the 2018 IEEE/MTT-S International Microwave Symposium, IMS 2018. Vol. 2018-June Institute of Electrical and Electronics Engineers Inc., 2018. p. 330-333 8439416.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Reginelli, NF, Sarkar, TK & 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, 8439416, Institute of Electrical and Electronics Engineers Inc., pp. 330-333, 2018 IEEE/MTT-S International Microwave Symposium, IMS 2018, Philadelphia, United States, 6/10/18. https://doi.org/10.1109/MWSYM.2018.8439416

Reginelli NF, Sarkar TK, Salazar-Palma M. 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. Institute of Electrical and Electronics Engineers Inc. 2018. p. 330-333. 8439416 doi: 10.1109/MWSYM.2018.8439416

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

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.",

keywords = "Cauchy Method, extrapolation, interpolation, QR decomposition, Singular Value Decomposition (SVD), Total Least Squares (TLS)",

author = "Reginelli, {Nicolas F.} and Sarkar, {Tapan Kumar} and Magdalena Salazar-Palma",

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N2 - 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.

AB - 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.

KW - Cauchy Method

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KW - interpolation

KW - QR decomposition

KW - Singular Value Decomposition (SVD)

KW - Total Least Squares (TLS)

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ER -

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

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