HP 8719ET - Forward Transmission Uncertainty

10-9
Determining System Measurement Uncertainties
Measurement Uncertainty Equations
Forward Transmission Uncertainty
Equation 10-3. Forward Transmission Magnitude Uncertainty
Equation 10-4. Forward Transmission Phase Uncertainty
∆S
21 mag()
Systematic Stability+()
2
Noise
2
+=
Where:
Systematic E
XF
S
21
E
TF
E+
SF
S
11
E
LF
S
22
E
SF
E
LF
S
21
S
12
A
M
++ +()
Stability
+=
C
2
R
2
+
C
2
S
21
2
C
TM1
2
C
TM2
2
C
R1
S
11
()
2
C
R2
S
22
()
2
++ +()
R
2
S
21
2
R
T1
R
R1
S
11
+()
2
R
T2
R
R2
S
22
+()
2
+()
Noise
2
N
T
S
21
()
2
N
F
2
+
=
=
=
=
∆S
21 phase()
sin
1–
Systematic Stability+()
2
Noise
2
+
S
21
---------------------------------------------------------------------------------------------



C
TP1
C
TP2
++=
Where:
Systematic E
XF
S
21
E
TF
E
SF
S
11
E
LF
S
22
E
SF
E
LF
S
21
S
12
A
P
()sin+++ +()
Stability
+
C
2
R
2
+
C
2
S
21
2
C
TM1
2
C
TM2
2
C
R1
S
11
()
2
C
R2
S
22
()
2
++ +()
R
2
S
21
2
R
T1
R
R1
S
11
+()
2
R
T2
R
R2
S
22
+()
2
+()
Noise
2
N
T
S
21
()
2
N
F
2
+
=
=
=
=
=