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Novel algorithms for the characterization of n-port networks by using a two-port network analyzer
1Ruhr-Universität Bochum, Institut für Hochfrequenztechnik, Universitätsstrasse 150, 44801 Bochum, Germany
2Leibniz-Universität Hannover, Institut für Hochfrequenztechnik und Funksysteme, Appelstrasse 9A, 30167 Hannover, Germany
Abstract. The measurement of the scattering matrices of n-port networks is an important task. For this purpose two ports of the n-port network are connected with the network analyzer and the remaining ports are connected to reflecting terminations. In order to specify the scattering matrix of a n-port network with the multi-port method (Rolfes et al., 2005), n reflecting terminations are required from which at least one reflection factor needs to be known.
There are some cases, in which the multi-port method shows weak convergence properties. For example, a T-junction cannot be identified if the reflecting terminations used are short circuits and if the line length is equivalent to a multiple of a half wavelength. This is due to the fact that the two ports connected to the network analyzer become isolated.
Two new algorithms, named the sub-determinant method and the wave-identification method, respectively, which employ a second set of reflection terminations that have to differ from the first set, allow to identify every n-port network without the necessity to distinguish different cases. Both methods are based on least square algorithms and allow to determine all scattering parameters of a n-port-network directly and uniquely.
Full Article in PDF (PDF, 86 KB)
Citation: Will, B., Rolfes, I., and Schiek, B.: Novel algorithms for the characterization of n-port networks by using a two-port network analyzer, Adv. Radio Sci., 5, 13-17, 2007. Bibtex EndNote Reference Manager
