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R&S ZNB - 5.3.4 Admittance Parameters; 5.3.4.1 Converted Admittances; 5.3.4.2 Y-Parameters; 2-Port Y-Parameters

R&S ZNB
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Concepts and Features
R&S
®
ZNB/ZNBT
123User Manual 1173.9163.02 ─ 55
Z
22
is the output impedance, defined as the ratio of the voltage V
2
to the current I
2
,
measured at port 2 (reverse measurement with open input, I
1
= 0).
Z-parameters can be easily extended to describe circuits with more than two ports or
several modes of propagation.
5.3.4 Admittance Parameters
An admittance is the complex ratio between a current and a voltage. The analyzer pro-
vides two independent sets of admittance parameters:
Converted admittances (each admittance parameter is obtained from a single S-
parameter)
Y-parameters (complete description of the n-port DUT)
5.3.4.1 Converted Admittances
The converted admittance parameters describe the input admittances of a DUT with
fully matched outputs. The converted admittances are the inverse of the Converted
Impedances.
5.3.4.2 Y-Parameters
The Y-parameters describe the admittances of a DUT with output ports terminated in a
short circuit (voltage = 0). The analyzer provides the full set of Y-parameters including
the transfer admittances (i.e. the complete n x n Y-matrix for an n port DUT).
This means that Y-parameters can be used as an alternative to S-parameters (or Z-
parameters) to characterize a linear n-port network completely.
2-Port Y-Parameters
In analogy to S-parameters, Y-parameters are expressed as Y
<out>< in>
, where <out>
and <in> denote the output and input port numbers of the DUT. In analogy to Z-param-
eters, the Y-parameters for a two-port are based on a circuit model that can be
expressed with two linear equations:
2221212
2121111
VYVYI
VYVYI
Meaning of Y-parameters
The four 2-port Y-parameters can be interpreted as follows:
Y
11
is the input admittance, defined as the ratio of the current I
1
to the voltage V
1
,
measured at port 1 (forward measurement with output terminated in a short circuit,
V
2
= 0).
Y
21
is the forward transfer admittance, defined as the ratio of the current I
2
to the
voltage V
1
(forward measurement with output terminated in a short circuit, V
2
= 0).
Measurement Results

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