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Advances in Radio Science An open-access journal of the U.R.S.I. Landesausschuss in der Bundesrepublik Deutschland e.V.
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Volume 5
Adv. Radio Sci., 5, 13–17, 2007
https://doi.org/10.5194/ars-5-13-2007
© Author(s) 2007. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
Adv. Radio Sci., 5, 13–17, 2007
https://doi.org/10.5194/ars-5-13-2007
© Author(s) 2007. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

  12 Jun 2007

12 Jun 2007

Novel algorithms for the characterization of n-port networks by using a two-port network analyzer

B. Will1, I. Rolfes2, and B. Schiek1 B. Will et al.
  • 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.

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