R&S ZNB Series User Manual page 203

®
R&S ZNB/ZNBT
The analyzer can also auto-determine length and loss parameters, assuming that the
actual values should minimize the group delay and loss across a configurable fre-
quency range.
4.6.1.1 Definition of offset parameters
The delay is the propagation time of a wave traveling through the transmission line.
The electrical length is equal to the delay times the speed of light in the vacuum. It is a
measure for the length of the transmission line between the standard and the actual
calibration plane. For a line with permittivity ε
and the electrical length are calculated as follows:
In the CHANNEL – [OFFSET EMBED] > "Offset" softtool tab, "Delay","Electrical
Length" and "Mech. Length" are coupled parameters. When one of them is changed,
the other two are adjusted accordingly.
For a non-dispersive DUT, the delay defined above is constant over the considered fre-
quency range and equal to the negative derivative of the phase response for the fre-
quency (see mathematical relations). The length offset parameters compensate for a
constant delay, which is equivalent to a linear phase response.
4.6.1.2 Definition of loss parameters
The loss is the attenuation a wave experiences when traveling through the transmis-
sion line. In logarithmic representation, it can be modeled as the sum of a constant and
a frequency-dependent part, where the frequency dependence is due to the skin effect.
In the limit case, where the length of the transmission line is considered to be "almost
zero", the loss is considered constant:
Otherwise, if the loss at DC and one additional frequency f
the loss at frequency f is approximated by:
If in addition the loss at a second frequency f
can be approximated by:
User Manual 1173.9163.02 ─ 62
Concepts and features
Offset parameters and de-/embedding
and mechanical length L
r
is known (or measured),
1
is known (or measured), then the loss
2
the delay
mech
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