Advances in Radio Science
www.adv-radio-sci.net
1684-9965
1684-9973
5
Kleinheubacher Berichte 2006
2007
10.5194/ars-5-13-2007
http://www.adv-radio-sci.net/5/13/2007/
http://www.adv-radio-sci.net/5/13/2007/ars-5-13-2007.html
http://www.adv-radio-sci.net/5/13/2007/ars-5-13-2007.pdf
13
17
2007-06-12
Novel algorithms for the characterization of n-port networks by using a two-port network analyzer
B. Will
bianca.will@rub.de
I. Rolfes
B. Schiek
Ruhr-Universität Bochum, Institut für Hochfrequenztechnik, Universitätsstrasse 150, 44801 Bochum, Germany
Leibniz-Universität Hannover, Institut für Hochfrequenztechnik und Funksysteme, Appelstrasse 9A, 30167 Hannover, Germany
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), <i>n</i> reflecting terminations are required
from which at least one reflection factor needs to be known.
<br><br>
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.
<br><br>
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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