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Mode l 435 Β
O
perat io n
CA
L
C
UL
ATI
N
G
ME
AS
UREMEN
T
UN
C
ER
TAI
N
TY
1 .
Calculate the
r
eflect i o n coe ffi cie nt fro m
t
he g iven
S
WR .
Power Sensor #1
Power Senso r #2
Po w e r So ur ce
SWR = 1 .5
SWR = 1 .25
SWR = 2 .0
1 .5-1
1 :25-1
2 .0-1
ρι
1 .5+1
ρ2
1 .25+1
Ps = 2 .0+1
_0.5
0 .25
_1 .0
2.5
2 .25
3 .0
=0.2
=0 .111
=0 .333
2.
Calculate the
r
el ative power
a
nd per ce ntage power mismatch unce rta int i es from
t
h e
r
eflection
coeffi cients . An initial referen ce leve l
o
f 1 is ass um ed.
P U = [1 ±
(ρ
η
ρ
s
)]
2
Ρυl = {1 ± [(0 .2)(0 .333)] } 2
PU, =
{1 ± [(0 .111)(0 .333)] } 2
= {1±0.067} 2
=
11±0 .037}2
=
1 .067 1
2
a
nd
10.933 1 2
=
11.037 1 2
a
nd 10 .963 1 2
=
1 .138 and 0 .871
=
1.075 and 0 .927
%vPU =
(PU-1) 100%ο
%vPUI =
(1 .138-1) 100% ο
=
(0 .138) 100%ο
=
13 .8%ο
%vPU, =
(1 .075-1) 100% ο
=
(0 .075) 100%ο
=
7 .5%ο
ρ =
S
WR-1
SWR +1
Relati ve
P
owe r Un certa in ty
Percentage
P
owe r Un cer ta inty
a
nd
(0.871--1) 100% ο
and
(--0 .129) 100% ο
and
-12 .9%ο
a
nd
(0 .927--1) 100% ο
and
(-0 .073) 100% ο
and
-7 .3% ο
F
igure 3-6. Calculating
M
easurement
U
ncertainties (1 of 2)
3- 1 1
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