Full 16-parametric model of calibration processes and direct measurement of parameters of four-poles
https://doi.org/10.29235/1561-2430-2019-55-1-69-76
Abstract
A complete mathematical model for measuring the parameters of the scattering matrix for a measurement object [Sx] in the form of a four-port network is developed, in which the mathematical model of the eight-port error is described by 16 parameters of the scattering matrix [E]. In addition, in comparison with the 12-parameter model of the eight-port error network, four parameters are included, which allow taking into account leaks, parasitic transmissions of microwave modules under study (microwave microassemblies). Due to the use of matrix analysis methods, the equations in matrix form are obtained that connect the matrices of the measurement object [Sи] and the actual values of the matrix parameters [Sx], with the aim of enabling the solution of these equations instead of the scattering matrix [E] to use a transmition matrix [T] in the form
of cellular matrices [Taa], [Tab], [Tba], [Tbb].
About the Authors
A. V. GusinskiBelarus
Ph. D. (Engineering), Associate Professor, Head of the Center 1.9 Scientific Research In stitute.
6, P. Brovka Str., 220013, Minsk.
V. A. Bogush
Belarus
Dr. Sc. (Physics and Mathematics), Professor, Rector.
6, P. Brovka Str., 220013, Minsk.
References
1. Borevich Z. I. Identifiers and Matrices. Moscow, Ripol Klasik Publ., 2013. 206 p. (in Russian).
2. Silaev M. A. Application of Matrices and Graphs to the Analysis of Microwave Devices. Moscow, Sovetskoe radio Publ., 1970. 248 p. (in Russian).
3. Zelinger Dzh. Basics of Matrix Analysis and Synthesis Applied to Electronics. Moscow, Sovetskoe radio Publ., 1970. 240 p. (in Russian).
4. Williams D. F., Ndagijimana F., Remley K. A., Dunsmore J. A., Hubert S. Scattering-Parameter Model and Repre sentation for Microwave Mixers. IEEE Transactions on Microwave Theory and Techniques, 2005, vol. 53, no. 1, pp. 314–321. https://doi.org/10.1109/tmtt.2004.839917
5. Gusinsky A. V., Sharov G. A., Kostrikin A. M. Vector analyzers of chains of millimeter waves: monograph. Part 3, Book 1. Principles of construction and analysis of circuits of vector network analyzers. Minsk, Belarusian State University of Informatics and Radioelectronics, 2008. 240 p. (in Russian).
6. Sharov G. A., Kostrikin A. M., Gusinsky A. V. Mathematics of Radio Electronics Microwave. Coordinates. Vectors Matrices. Tensors. Minsk, Bestprint Publ., 2014. 242 p. (in Russian).