论文信息 - VNA tools II: Calibrations involving eigenvalue problems

VNA tools II: Calibrations involving eigenvalue problems

Many calibration algorithms for vector network analyzers using partially unknown standards can be stated as an eigenvalue problem. The construction of the eigenvalue problem is described and examples for line reflect match (LRM) and thru reflect line (TRL) calibrations are given. Advantages of the new algorithm are that all uncertainties can be taken into account and that it is fully analytic. A further advantage is that the same approach can be used for different calibration schemes. The algorithm is implemented in METAS VNA Tools II and METAS UncLib is used for the linear propagation of uncertainties.

M. Zeier | M. Wollensack | J. Hoffmann | D. Stalder | J. Ruefenacht

[1] G. F. Engen,et al. Thru-Reflect-Line: An Improved Technique for Calibrating the Dual Six-Port Automatic Network Analyzer , 1979 .

[2] J. Magnus. On Differentiating Eigenvalues and Eigenvectors , 1985, Econometric Theory.

[3] B. Schiek,et al. Thru-Match-Reflect: One Result of a Rigorous Theory for De-Embedding and Network Analyzer Calibration , 1988, 1988 18th European Microwave Conference.

[4] Andrea Ferrero,et al. QSOLT: A New Fast Calibration Algorithm for Two Port S Parameter Measurements , 1991, 38th ARFTG Conference Digest.

[5] Andrea Pierenrico Ferrero,et al. Multiport vector network analyzer calibration: a general formulation , 1994 .

[6] A. Ferrero,et al. A Novel Calibration Algorithm for a Special Class of Multiport Vector Network Analyzers , 2008, IEEE Transactions on Microwave Theory and Techniques.

[7] Johannes Hoffmann,et al. Metas.UncLib—a measurement uncertainty calculator for advanced problems , 2012 .

[8] J. Ruefenacht,et al. VNA Tools II: S-parameter uncertainty calculation , 2012, 79th ARFTG Microwave Measurement Conference.

[9] Djamel Allal,et al. Propagation automatique des incertitudes : application aux techniques d’auto-étalonnage des analyseurs de réseau vectoriels , 2015 .