[Header]
Format=SMU
ver=3
appl=GUMWB32
MR=0
SUR=0
SUP=0
UIP=1
UCR=0
status=2
FUEB=0

[Title]
Title='Calibration of a power sensor at a frequency of 18 GHz'
Ref='S6'
Date='08/22/2007'
Version=''
Author='EA'
Description=15
Description[0]='This Example is taken from EA 4/02. See EA 4/02 Section S6 for more details.'
Description[1]=''
Description[2]='The measurement involves the calibration of an unknown power sensor with'
Description[3]='respect to a'
Description[4]='calibrated power sensor used as a'
Description[5]='reference by substitution on a'
Description[6]='stable transfer standard of known small reflection coefficient. The measurement'
Description[7]='is made in terms of calibration factor, which is defined as the ratio of'
Description[8]='incident power at the reference frequency of 50 MHz to the incident power at'
Description[9]='the calibration frequency under the condition that both incident powers give'
Description[10]='equal power sensor response. At each frequency one determines the (indicated)'
Description[11]='ratio of the power for the sensor to be calibrated respectively the reference'
Description[12]='sensor and the internal sensor that forms part of the transfer standard, using'
Description[13]='a'
Description[14]='dual power meter with ratio facility.'
PictureCount=1
DCount=1

[Model]
Model=1
Model[0]='K_X = (K_S + \delta\K_D) * (M_Sr * M_Xc) / (M_Sc * M_Xr) * p_Cr * p_Cc * p'
CE=1
CTC=1

[Components]
CompOrder=3
Comp=10
Comp[0]=K_X_
Comp[1]=K_S_
Comp[2]=\delta\K_D_
Comp[3]=M_Sr_
Comp[4]=M_Xc_
Comp[5]=M_Sc_
Comp[6]=M_Xr_
Comp[7]=p_Cr_
Comp[8]=p_Cc_
Comp[9]=p

[COMP 0]
Type=Result
Definition='unknown calibration factor'
Unit=''
Description=0
Fcov=2
NomUnit=
UncUnit=
CovID=1
UncID=0
Vnom=0.933024133333333
Ustd=0.0161763656260788
Neff=286
HB=1
HC=0
HR=1
IO=0
PictureCount=1
DCount=1

[COMP 1]
Type=TypBNormal
Definition='calibration factor of the reference power sensor'
Unit=''
Description=4
Description[0]='REFERENCE SENSOR: The reference sensor was calibrated six months before the'
Description[1]='calibration of the unknown power sensor. The value of the calibration factor,'
Description[2]='given in the calibration certificate, is (95,7±1,1)% (coverage factor k=2),'
Description[3]='which also may be expressed as 0,957±0,011'
Vnom=0.957
Uexp=0.011
Fcov=2
PictureCount=1
DCount=1

[COMP 2]
Type=TypBRectang
Definition='drift of calibration factor of the reference power sensor since its last calibration'
Unit=''
Description=5
Description[0]='DRIFT OF THE STANDARD: The drift of the calibration factor of the reference'
Description[1]='standard is estimated from annual calibrations to be -0,002 per year with'
Description[2]='deviations within ±0,004. From these values the drift of the reference sensor'
Description[3]='which has been calibrated half a'
Description[4]='year ago is estimated to be -0.001 with deviations within ±0,002.'
Vnom=-0,001
Hlim=0.002
PictureCount=1
DCount=1

[COMP 3]
Type=TypBUShaped
Definition='mismatch factor of the reference power sensor at the reference frequency of  50 MHz'
Unit=''
Description=7
Description[0]='MISMATCH FACTORS: As the transfer standard system is not perfectly matched and'
Description[1]='the phase of the reflection coefficients of the transfer standard, the unknown'
Description[2]='and the standard power sensors are not known, there will be an uncertainty due'
Description[3]='to mismatch for each sensor at the reference frequency and at the calibration'
Description[4]='frequency. The probability distribution of the contribution is U-shaped and the'
Description[5]='limits are calculated from the magnitude of the reflection coefficients (see'
Description[6]='EAL-R2-S1:S6.8).'
Vnom=1,0
Hlim=0.0008
PictureCount=1
DCount=1

[COMP 4]
Type=TypBUShaped
Definition='mismatch factor of the unknown power sensor at the calibration frequency of  18 GHz'
Unit=''
Description=0
Vnom=1,0
Hlim=0,0168
PictureCount=1
DCount=1

[COMP 5]
Type=TypBUShaped
Definition='mismatch factor of the reference power sensor at the calibration frequency of 18 GHz'
Unit=''
Description=0
Vnom=1.0
Hlim=0.014
PictureCount=1
DCount=1

[COMP 6]
Type=TypBUShaped
Definition='mismatch factor of the unknown power sensor at the reference frequency of  50 MHz'
Unit=''
Description=0
Vnom=1.0
Hlim=0.0008
PictureCount=1
DCount=1

[COMP 7]
Type=TypBNormal
Definition='correction of the observed ratio for non-linearity and limited resolution of the power meter at power ratio level of the reference frequency '
Unit=''
Description=16
Description[0]='LINEARITY AND RESOLUTION OF THE POWER METER: The expanded uncertainty of 0,002'
Description[1]='(coverage factor k'
Description[2]='='
Description[3]='2.0) is assigned to the power meter readings at the power ratio level of the'
Description[4]='reference frequency and of 0,0002 (coverage factor k'
Description[5]='='
Description[6]='2.0) at the power ratio level of calibration frequency due to non-linearity of'
Description[7]='the power meter used. These values have been obtained from previous'
Description[8]='measurements. Since the same power meter has been used to observe both p_iX and'
Description[9]='p_iS the uncertainty contributions at the reference as well at the calibration'
Description[10]='frequency are correlated. Because power ratios at both frequencies are'
Description[11]='considered, the effect of the correlations is to reduce the uncertainty. Thus'
Description[12]='only the relative difference in the readings due to systematic effects must be'
Description[13]='taken into account resulting in a'
Description[14]='standard uncertainty of 0,00142 associated with the correction factor p_Cr and'
Description[15]='0,000142 with the correction factor p_Cc.'
Vnom=1.0
Uexp=0.00142
Fcov=1.0
PictureCount=1
DCount=1

[COMP 8]
Type=TypBNormal
Definition='correction of the observed ratio for non-linearity and limited resolution of the power meter at power ratio level of the calibration frequency '
Unit=''
Description=0
Vnom=1.0
Uexp=0.000142
Fcov=1.0
PictureCount=1
DCount=1

[COMP 9]
Type=TypAExper
Definition='=p_iX/p_iS, ratio of the output power ratios indicated at the power transfer system in realizing equal response for the unknown and the reference power sensor'
Unit=''
Description=5
Description[0]='MEASUREMENTS: Three separate readings are made which involve disconnection and'
Description[1]='reconnection of both the reference sensor and the sensor to be calibrated on'
Description[2]='the transfer standard to take connection repeatability into account. The poer'
Description[3]='ratio p'
Description[4]='is precalculated from the powermeter readings (see EAL-R2-S1:S6.10).'
Observations=3
Reading=3
Reading[0]=0,9772
Reading[1]=0,9671
Reading[2]=0,9836
Mode=0
MinObs=3
PictureCount=1
DCount=1

[Correlations]
Description=0

[CalCorr]
CNT=9
R[0,4]=0.6851824
R[0,5]=-0.5710413
R[0,1]=0.3318308
R[0,9]=0.2838441
R[0,7]=0.0819031
R[0,2]=0.0696664
R[0,6]=-0.0326277
R[0,3]=0.0326277
R[0,8]=0.0081903