TY - GEN

T1 - Interpolation of amplitude-only S-parameter data of passive integrated devices in the frequency domain using the Cauchy Method

AU - Salazar-Palma, Magdalena

AU - Sarkar, Tapan K.

AU - De, Arijit

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - Cauchy Method

KW - Singular Value Decomposition (SVD)

KW - Total Least Squares (TLS)

KW - amplitude-only data

KW - interpolation

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M3 - Conference contribution

AN - SCOPUS:84855774426

SN - 9782874870224

T3 - European Microwave Week 2011: "Wave to the Future", EuMW 2011, Conference Proceedings - 41st European Microwave Conference, EuMC 2011

SP - 5

EP - 8

BT - European Microwave Week 2011

T2 - 14th European Microwave Week 2011: "Wave to the Future", EuMW 2011 - 41st EuropeanMicrowave Conference, EuMC 2011

Y2 - 10 October 2011 through 13 October 2011

ER -