TY - GEN
T1 - Interpolation and Extrapolation of S-Parameter Data of a Microwave Filter in the Frequency Domain Using the Cauchy Method
AU - Reginelli, Nicolas F.
AU - Sarkar, Tapan K.
AU - Salazar-Palma, Magdalena
N1 - Publisher Copyright:
© 2018 IEEE.
PY - 2018/8/17
Y1 - 2018/8/17
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
KW - QR decomposition
KW - Singular Value Decomposition (SVD)
KW - Total Least Squares (TLS)
KW - extrapolation
KW - interpolation
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U2 - 10.1109/MWSYM.2018.8439416
DO - 10.1109/MWSYM.2018.8439416
M3 - Conference contribution
AN - SCOPUS:85053068472
SN - 9781538650677
T3 - IEEE MTT-S International Microwave Symposium Digest
SP - 330
EP - 333
BT - Proceedings of the 2018 IEEE/MTT-S International Microwave Symposium, IMS 2018
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2018 IEEE/MTT-S International Microwave Symposium, IMS 2018
Y2 - 10 June 2018 through 15 June 2018
ER -