R&S ZNB Series User Manual page 134

Vector network analyzers
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®
R&S
ZNB/ZNBT
Z
measured at port 2 (reverse measurement with open input, I
Z-parameters can be easily extended to describe circuits with more than two ports or
several modes of propagation.
4.3.4 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)
4.3.4.1
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
impedances.
4.3.4.2
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
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:
I
1
I
2
Meaning of Y-parameters
The four 2-port Y-parameters can be interpreted as follows:
Y
measured at port 1 (forward measurement with output terminated in a short circuit,
V
Y
voltage V
User Manual 1173.9163.02 ─ 62
is the output impedance, defined as the ratio of the voltage V
22
Y
V
Y
V
11
1
12
2
Y
V
Y
V
21
1
22
2
is the input admittance, defined as the ratio of the current I
11
= 0).
2
is the forward transfer admittance, defined as the ratio of the current I
21
(forward measurement with output terminated in a short circuit, V
1
Concepts and features
Measurement results
to the current I
2
= 0).
1
Converted
, where <out>
<out>< in>
to the voltage V
1
1
to the
2
= 0).
2
134
,
2
,

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