Bode 100 User Manual
20
3.1 Basics
The gain and phase of the DUT is calculated from the measurement data
obtained using the reference channel 1 and the measurement channel 2. You
can connect the signal source to the reference channel internally or externally
as described in 3.2 "Choosing the Reference Connection" on page 22.
The basic definitions and formulas related to the gain/phase measurements are
summarized below:
(Eq. 3-1)
(Eq. 3-2)
(Eq. 3-3)
where
…displayed gain/phase function
…magnitude of
…phase of
…group delay of
(Eq. 3-4)
(Eq. 3-5)
where
…S parameter from port
i
to port
j
of the DUT
…transfer function of a two-port device,
depends on the load of the
port where
is measured
…voltage at the DUT’s output
…open-circuit voltage of the source
…voltage at the DUT’s input
…voltage at the channel 1 input
…voltage at the channel 2 input
…input impedance of the DUT
…50
Ω
source resistance
Assumptions for measuring
:
• The source with resistance
= 50
Ω
is connected to port
i.
• 50
Ω
load (receiver resistance) at port
j
measuring
, any other ports of
the DUT are terminated with 50
Ω
.
• Connections are made with 50
Ω
cables.
H f
( )
abs
H f
( )
{
}
=
φ
f
( )
H f
( )
{
}
arg
=
T
g
f
( )
1
2
π
------
f
d
d
φ
f
( )
•
ω
d
d
φ ω
( )
–
=
–
=
H f
( )
H f
( )
H f
( )
φ
f
( )
H f
( )
T
g
f
( )
H f
( )
S
ji
f
( )
2
V
OUT
V
0
-------------
•
i j
≠
,
=
H
T
f
( )
V
OUT
V
IN
-------------
=
S
ji
f
( )
i j
≠
(
)
H
T
f
( )
H
T
f
( )
V
OUT
V
OUT
V
0
V
IN
V
CH
1
V
CH
2
Z
IN
R
S
S
ji
f
( )
R
S
V
OUT
Summary of Contents for Bode 100
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