Final · Final GULFMET.EM.RF-S2 Coordinating Laboratory; Dr. Erkan DANACI, Özlen TUNCEL, Dr. Murat CELEP TUBITAK UME, National Metrology Institute, Turkey Contributing Laboratory:

Comparison Report on Calibration Factor Measurement of Power Sensor GULFMET.EM.RF-S2 1/44

Comparison Report on Calibration Factor

Measurement of Power Sensor

Final

GULFMET.EM.RF-S2

Coordinating Laboratory;

Dr. Erkan DANACI, Özlen TUNCEL, Dr. Murat CELEP

TUBITAK UME, National Metrology Institute, Turkey

Contributing Laboratory:

Ahmed Hamad ALJAWAN, Ibrahim ALBORAIH, Khalid Saleh ALDAWOOD

SASO NMCC, National Measurement and Calibration Center, Saudi Standards,

Metrology and Quality Organization, Kingdom of Saudi Arabia

March 12, 2019

https://www.google.com.tr/url?sa=i&rct=j&q=&esrc=s&source=images&cd=&cad=rja&uact=8&ved=2ahUKEwib_Ov-0fbfAhUE2qQKHU5DBz0QjRx6BAgBEAU&url=https://twitter.com/GULF_MET/status/781754312380780544&psig=AOvVaw2nFJHtzUM-d3FKSe4fRsph&ust=1547877121714877


CONTENTS

CONTENTS ....................................................................................................................... 2

1. INTRODUCTION .................................................................................................... 3

2. TRAVELLING STANDARD ..................................................................................... 3

3. PARTICIPANT LABORATORIES ........................................................................... 5

4. TIME SCHEDULE ................................................................................................... 5

5. MEASUREMENT TECHNIQUE .............................................................................. 6

6. DISCUSSION OF THE RESULTS .......................................................................... 6

REFERENCES ................................................................................................................ 15

ANNEX A. COMPARISON MEASUREMENTS REPORT of TÜBİTAK UME .................. 16

ANNEX B. COMPARISON MEASUREMENTS REPORT of SASO NMCC ..................... 37



1. INTRODUCTION

It was planned to organise a comparison on calibration factor (CF) measurement of Power

Sensor between SASO NMCC and TÜBİTAK UME, on the frame of GULFMET.

Calibration factor is used for characterization of RF power sensors. RF power sensors are used

to measure RF power, and it has a fundamental importance of achieving the traceability of RF

power measurements. The bilateral comparison is performed by measuring a power sensor at

frequencies of 10 MHz, 50 MHz, 1 GHz, 4 GHz, 8 GHz, 12 GHz, 15 GHz, and 18 GHz, and a

power level of 0 dBm.

TÜBİTAK UME is acting as the pilot laboratory. The travelling standard was provided by SASO

NMCC. TÜBİTAK UME is responsible for monitoring standard performance during the circulation,

and the evaluation and reporting of the comparison results.

The comparison was carried out in accordance with the CCEM Guidelines for Planning,

Organizing, Conducting and Reporting Key, Supplementary and Pilot Comparisons [1].

2. TRAVELLING STANDARD

The travelling standard, Agilent N8481A Power Sensor (Figure 1), has identification as follows:

Manufacturer : Agilent

Model : N8481A

Serial No : MY54220011

Top View

Bottom View

Figure 1. Travelling standard is an Agilent N8481A Power Sensor

The N8481A power sensor, henceforth denoted by the Standard, has an N type male connector

and a DC output port for connecting the power sensor to the power meter. The standard has a

power range from -35 dBm to +20 dBm. Within this comparison, only the 0 dBm power level was

measured.

A measured quantity in the comparison is a Calibration Factor (CF). CF is relative to 50 MHz is

defined by;



CFrel=Pind

Pin

.Pin_ref

Pind_ref

.M (1)

where;

Pind : indicated power on power meter,

Pin : incident RF power to the power sensor (standard) at the measurement frequency,

Pind_ref : indicated power on power meter at 50 MHz,

Pin_ref : incident RF power to the power sensor (standard) at 50 MHz.

M : Vectorial mismatch correction

Participants submitted the measured calibration factor and reflection coefficient results of the

standard at 8 frequencies (10 MHz, 50 MHz, 1 GHz, 4 GHz, 8 GHz, 12 GHz, 15 GHz, and 18

GHz) concerning its calibration factor and reflection coefficient. Both measurands have extended

uncertainty values (coverage factor k=2). 50 MHz is selected to be a reference frequency of

calibration factor measurements.

The travelling standard was chosen for its common usage frequency and power range and it can

be available at most NMIs for RF power measurement. The general specifications of standard are

given in Table 1.

Table 1. The general specifications of N8481A standard

Operating Frequency 10 MHz to 18 GHz

Maximum Power 500 mW (average)

Connector Type Type N male

Maximum SWR 1.37 (10 MHz to 30 MHz)

1.14 (30 MHz to 50 MHz)

1.08 (50 MHz to 2 GHz)

1.16 (2 GHz to 12.4 GHz)

1.23 (12.4 MHz to 18 GHz)

Dimensions Height 30 mm

Width 38 mm

Long 130 mm

Weight 0.181 kg



3. PARTICIPANT LABORATORIES

The pilot institute for this comparison is TÜBİTAK UME (Turkey). The contact details of the

coordinator are given below:

Pilot Institute : TÜBİTAK Ulusal Metroloji Enstitüsü (UME)

Coordinator : Dr. Erkan DANACI

Tel: +90 262 679 50 00

Fax: +90 262 679 50 01

E-mail: [email protected]

The participating institutes and contact persons with their addresses are given in Table 2.

Table 2. Participants

Country Institute Acronym Shipping Address Contact Person

Turkey

TÜBİTAK

Ulusal Metroloji Enstitüsü

TÜBİTAK UME

TÜBİTAK Ulusal Metroloji Enstitüsü (UME)

TÜBİTAK Gebze Yerleşkesi

Barış Mah. Dr. Zeki Acar Cad. No:1

41470 Gebze-Kocaeli, TURKEY

Dr. Erkan DANACI

[email protected]

Tel: +90 262 679 50 00

Saudi Arabia

SASO

The National Measurement and Calibration Center

SASO NMCC

Saudi Standards, Metrology and Quality Organization of The Kingdom of Saudi Arabia

(SASO)

Riyadh 11471, P.O. Box 3437

KINGDOM of SAUDI ARABIA

Ahmed Hamad AlJawan

[email protected]

Tel: +966 11 252 9741

4. TIME SCHEDULE

The time schedule for the comparison is given in the Table 3. The circulation of travelling

standard was organized to monitor the performance of the travelling standard. Each laboratory

had 2 weeks to carry out the measurements.

Table 3. Circulation Time Schedule

Acronym of Institute

Country Starting Date Time for measurement

and transportation

TÜBİTAK UME Turkey 01.03.2018 – 15.03.2018 2 weeks

SASO NMCC Saudi Arabia 26.06.2018 – 19.07.2018 3 weeks

TÜBİTAK UME Turkey 01.10.2018 – 22.10.2018 3 weeks


mailto:[email protected]




5. MEASUREMENT TECHNIQUE

Although, the main measured parameter was calibration factor, additionally the reflection

coefficient was measured at 10 MHz, 50 MHz, 1 GHz, 4 GHz, 8 GHz, 12 GHz, 15 GHz and 18

GHz frequency points.

Also the quantities given below had been measured;

Ambient temperature

Ambient humidity

Pin depth of the travelling standards

Pin depth of the connected ports of the measurement device

No correction was applied for the ambient temperature and relative humidity.

Pilot and the participant laboratories were used their own VNA for the measurement of reflection

coefficient of travelling standard.

Calibration factor measurement methods of the participants were explained at Appendix A and

Appendix B.

The measurements and comparison report were done according to the technical protocol of the

bilateral comparison.

6. DISCUSSION OF THE RESULTS

The results were presented to the pilot laboratory in the format of linear CF value. The chosen

frequencies are 10 MHz, 50 MHz, 1 GHz, 4 GHz, 8 GHz, 12 GHz, 15 GHz and 18 GHz for the

comparison.

The comparison was organised in a single loop of two laboratories.

The uncertainties of measurement were calculated according to the JCGM 100 “Guide to the

Expression of Uncertainty in Measurement” [2] for the coverage probability of approximately 95%.

All contributions to the measurement uncertainty listed in the report submitted by each

participant.

Participant was also asked to provide detailed uncertainty budget and the combined standard

uncertainty for the aforementioned measurand.

The measurement results and associated uncertainties together with the reference values and

associated uncertainties can be found in Tables 4 to 6. UME1, SASO and UME2 representing the

first measurement at TÜBİTAK UME, measurement at SASO NMCC and final measurement at

TÜBİTAK UME respectively. 50 MHz reference value of the two laboratories are given 1.000.

Comparison reference values and associated uncertainties were calculated using the

measurements result of TÜBİTAK UME as given below. TÜBİAK UME was participant of the

CCEM.RF-K8.CL [3].



Reference Value=Xref=UUME1 + UUME2

2 (2)

Uncertainty of Reference Value=Uref=2.√(UUME1-UUME2

2.√3)

2

+(max(UUMEi)

2)

2

(3)

Where max(UUMEi) is maximum uncertainty value of UME measurements.

Degrees of equivalence, D, is calculated by subtracting the reference value from the each

measurements (Equation (4)) and its uncertainty is calculated according to the Equation (5). The

graphics of D are given in Figure 2-8.

D=Xlab-Xref (4)

UD=√Uref2

+Ulab2

(5)

Degrees of equivalence with respect to the reference value and between each of the

measurements can be found in Table 5.

The En value which is calculated according to Equation (6) stated at ISO / IEC 17043 “Conformity

assessment — General requirements for proficiency testing” [4] Standard for each measurement

and frequencies can be found in Table 6.

En=Xlab-Xref

√Uref2

+Ulab2

(6)

xlab: Participant laboratory measurement result

xref: Pilot laboratory measurement result

Ulab: Participant laboratory measurement uncertainty

Uref: Pilot laboratory measurement uncertainty

The laboratory measurement results can be utilized according to the criteria of En value which is

given below.

If │En│≤ 1 then it is successful

If │En│> 1 then it is unsuccessful

Uncertainty budget provided by the participant and the full set of reported results can be found in

Appendix A and Appendix B.


Draft A Report of GULFMET Supplementary Comparison for Calibration Factor Measurement of Power Sensor

GULFMET.EM.RF-S2

8/44

Table 4. Calibration Factor Measurement results of HP8481A Power Sensor

Laboratory UME1 SASO UME2 Reference

Value

Frequencies CF Unc. CF Unc. CF Unc. xref Uref

10 MHz 0.9829 0.0070 0.9776 0.0083 0.9836 0.0071 0.9833 0.0071

50 MHz

(reference) 1.0000 0.0065 1.0000 0.0084 1.0000 0.0065 1.0000 0.0065

1 GHz 0.9936 0.0063 0.9976 0.0086 0.9936 0.0063 0.9936 0.0063

4 GHz 0.9822 0.0062 0.9853 0.0090 0.9822 0.0063 0.9822 0.0063

8 GHz 0.9796 0.0062 0.9814 0.0127 0.9798 0.0063 0.9797 0.0063

12 GHz 0.9815 0.0064 0.9858 0.0133 0.9818 0.0064 0.9817 0.0064

15 GHz 0.9844 0.0066 0.9884 0.0151 0.9851 0.0067 0.9847 0.0067

18 GHz 0.9940 0.0162 0.9966 0.0267 0.9936 0.0133 0.9938 0.0163



GULFMET.EM.RF-S2

9/44

Table 5. Degrees of Equivalence and its uncertainty

Labs UME1 SASO UME2

Frequencies D UD D UD D UD

10 MHz -0.0003 0.0100 -0.0057 0.0109 0.0003 0.0100

1 GHz 0.0000 0.0089 0.0040 0.0106 0.0000 0.0089

4 GHz 0.0000 0.0089 0.0031 0.0110 0.0000 0.0089

8 GHz -0.0001 0.0089 0.0017 0.0142 0.0001 0.0089

12 GHz -0.0001 0.0090 0.0041 0.0148 0.0001 0.0091

15 GHz -0.0004 0.0094 0.0037 0.0165 0.0004 0.0095

18 GHz 0.0002 0.0230 0.0028 0.0313 -0.0002 0.0211



GULFMET.EM.RF-S2

10/44

Table 6. En values of the comparison

Labs |En|

Frequencies UME1 SASO UME2

10 MHz 0.03 0.58 0.03

1 GHz 0.00 0.41 0.00

4 GHz 0.00 0.31 0.00

8 GHz 0.01 0.13 0.01

12 GHz 0.01 0.29 0.01

15 GHz 0.04 0.23 0.04

18 GHz 0.01 0.10 0.01



GULFMET.EM.RF-S2

11/44

Figure 2. CF at 10 MHz

Figure 3. CF at 1 GHz

UME1

SASO

UME2

-0.030

-0.020

-0.010

0.000

0.010

0.020

0.030

D (

CF

)

Laboratory

CF @10 MHz

UME1SASO

UME2

-0.030

-0.020

-0.010

0.000

0.010

0.020

0.030

D (

CF

)

Laboratory

CF @1 GHz



GULFMET.EM.RF-S2

12/44



UME1 SASO UME2

-0.030

-0.020

-0.010

0.000

0.010

0.020

0.030

D (

CF

)

Laboratory

CF @4 GHz

UME1 SASO UME2

-0.030

-0.020

-0.010

0.000

0.010

0.020

0.030

D (

CF

)

Laboratory

CF @8 GHz



GULFMET.EM.RF-S2

13/44



UME1SASO

UME2

-0.030

-0.020

-0.010

0.000

0.010

0.020

0.030

D (

CF

)

Laboratory

CF @12 GHz

UME1SASO UME2

-0.030

-0.020

-0.010

0.000

0.010

0.020

0.030

D (

CF

)

Laboratory

CF @15 GHz



GULFMET.EM.RF-S2

14/44


UME1 SASO UME2

-0.040

-0.030

-0.020

-0.010

0.000

0.010

0.020

0.030

0.040

D (

CF

)

Laboratory

CF @18 GHz



GULFMET.EM.RF-S2

15/44

REFERENCES

[1] CCEM Guidelines for Planning. Organizing. Conducting and Reporting Key. Supplementary

and Pilot Comparisons. 2007 (available on the BIPM website:

http://www.bipm.org/utils/common/pdf/CC/CCEM/ccem_guidelines.pdf)

[2] Evaluation of measurement data - Guide to the Expression of Uncertainty in Measurement

(GUM). JCGM 100. First edition. September 2008 (available on the BIPM website:

http://www.bipm.org/utils/common/documents/jcgm/JCGM_100_2008_E.pdf)

[3] CCEM.RF-K8.CL Comparison Calibration Factor of Thermistor Mounts, May 2005

(https://www.bipm.org/utils/common/pdf/final_reports/EM/RF/K8/CCEM.RF-K8.CL.pdf)

[4] ISO / IEC 17043 “Conformity assessment — General requirements for proficiency testing”.

International Standardization Organization”. 2010


http://www.bipm.org/utils/common/documents/jcgm/JCGM_100_2008_E.pdf

Comparison Report on Calibration Factor Measurement of Power Sensor GULFMET.EM.RF-S2

Annex A

16/44

ANNEX A. COMPARISON MEASUREMENTS REPORT of TÜBİTAK UME

1. PARTICIPANT INFORMATION

Laboratory Name RF and Microwave

Related Person Name Dr. Erkan DANACI

Telephone No +90 262 679 5000

Fax No +90 262 679 5001

E-mail [email protected]

Adress TÜBİTAK UME Gebze Yerleşkesi Barış Mah.Dr. Zeki Acar Cad. No: 1

Gebze TR-41470 Kocaeli TURKEY

2. MEASUREMENT DATE

First measurement : 01.03.2018 – 15.03.2018

Second measurement : 01.10.2018 – 22.10.2018

3. ENVIRONMENTAL CONDITION

Temperature : (23 ± 1) C

Relative Humidity : (45 ± 10) rh%

4. REFERENCES USED IN MEASUREMENT

Instrument Name Manufacturer Type / Model Serial No Traceability

Signal Generator Agilent E8257D MY45140665 UME, G1ZF-0091,

14.09.2018

Power Splitter Weinschel 1870A 9879 UME, G1MD-0002,

10.01.2017

Thermistor Mount (STD) Agilent

Technologies 8478B 3318A25886

UME, G1MD-0009, 12.01.2018

Powermeter (STD) Hewlett Packard

432A 3303U00513 UME, G1MD-0069,

09.05.2017

Powermeter (DUT) Keysight N1914A_A MY56500012 UME, G1MD-0054,

02.05.2017

Powermeter (MON) Keysight N1914A_B MY56500012 UME, G1MD-0054,

02.05.2017

Voltmeter (STD) Hewlett Packard

34401 US36013987 UME, G1LV-0103,

20.06.2018


Annex A

17/44

Instrument Name Manufacturer Type / Model Serial No Traceability

Vector Network Analyzer Rohde & Schwarz

ZVA 50 100147 UME, G1MD-0145,

17.11.2017

Calibration Kit Hewlett Packard HP85054B 3106A01936

UME, G1MD-0145,

17.11.2017

VNA Cables Gore FE0AL0BL025.0

FE0AH0BL025.0

9215621

9215619

UME, G1MD-0145,

17.11.2017

5. MEASUREMENT METHOD

SOL (Short, Open, Load) calibration method is applied to measure reflection coefficient of the

travelling standard (DUT). Male connector of the power sensor was measured as S11. The

measurements were done with VNA Tolls II software and data and uncertainty evaluated by using

excel macro software (VNAUnc_Makro_ReIm3Olcum_r3v1).

In order to measure calibration factor of the DUT, software developed by TÜBİTAK UME was

used. Measurement software flow graph is given in Figure 1. According to the software;

calibration factor of the travelling standard was performed using direct comparison transfer

method at 0 dBm for 3 orientations (0°, 120° and 240°). Standard thermistor mount and the

travelling standard were connected to one of the output port of power splitter while monitor power

sensor was attached to the other output port of the power splitter. Microwave power applied to

the input port of the power splitter and standard power, then monitor power were measured. After

the measurement was finished, standard thermistor mount (STD) was disconnected from power

splitter port and DUT was connected immediately. Then, again, microwave power was applied to

input port and output powers were measured using DUT and monitor power meters. The STD,

DUT parameters and related powers were used to calculate calibration factor of the DUT.

Mismatch correction was applied. “Calibration factor.exe” software was used for the

measurements.

The declared final calibration factors are relative to 50 MHz.

Measurements were performed by Özlen TUNCEL and Erkan DANACI.




Annex A

18/44

Introducing the New Device

and

Entering the Parameters of

Devices

Start

Selecting the MON and

STD Power Sensors

According to the DUT

Power Sensor

Updating the Parameters of

Older Devices

Selecting the New/Older

Measurement Setup

Selecting the Devices on

Measurement Setup

Entering the Measurement

Parameters

Selecting the Frequency

Measuring MON Line Power at Selected

Frequency

Calculating the to be Applied Power at

Selected Frequency

Last

Frequency?

No

Selecting the Orientation of STD&DUT

Power Sensor



Frequency

Measuring STD Line Power at Selected

Frequency

Last

Frequency?

No



Frequency

Measuring DUT Line Power at Selected

Frequency

Last

Frequency?

Last

Orientation?

No

No

Calculating the CF of DUT and İts Uncertainty

Stop

Yes

Yes

Yes

Yes

MON

Power

To Be

Applied

Power

MON

Power

STD

Power

MON

Power

DUT

Power

STD, MON and

DUT Power

Figure 1. Software Flow Diagram


Annex A

19/44

6. MEASUREMENT RESULT

6.1. First Measurement Results at TÜBİTAK UME

Measured pin depth: -0.00180 inches, U = 0.00016 inches (k=2)

Table 1. Reflection coefficient of the travelling standard

Frequency

(GHz)

Reflection Coefficient ( jyxS11 ) of DUT Power Sensor

Real Component

x

Real Component

Uncertainty (k=2)

Imaginary

Component

y

Imaginary

Component

Uncertainty (k=2)

0.01 0.0210 0.0042 -0.1030 0.0042

0.05 0.0095 0.0040 -0.0217 0.0040

1 0.0049 0.0040 -0.0092 0.0040

4 -0.0036 0.0040 0.0074 0.0040

8 -0.0038 0.0040 -0.0127 0.0040

12 -0.0155 0.0080 -0.0177 0.0080

15 0.0441 0.0080 -0.0120 0.0080

18 -0.0283 0.0080 0.0306 0.0080

Table 2. Calibration factor (reference to 50 MHz)

Frequency (GHz) Calibration Factor Calibration Factor

uncertainty (k=2)

0.01 0.9829 0.0070

0.05 1.0000 Reference

1 0.9936 0.0063

4 0.9822 0.0062

8 0.9796 0.0062

12 0.9815 0.0064

15 0.9844 0.0066

18 0.9940 0.0162


Annex A

20/44

6.2. Second Measurement Results at TÜBİTAK UME

Measured pin depth: -0.0018 inches, U (k=2)= 0.00016 inches

Table 3. Reflection coefficient of travelling standard

Frequency

(GHz)

Reflection Coefficient ( jyxS11 ) of DUT Power Sensor

Real Component

x

Real Component

Uncertainty (k=2)

Imaginary

Component

y

Imaginary

Component

Uncertainty (k=2)

0.01 0.0196 0.0042 -0.1046 0.0042

0.05 0.0082 0.004 -0.0219 0.004

1 0.0064 0.004 -0.0054 0.004

4 -0.0036 0.0041 0.0077 0.0041

8 -0.0049 0.0043 -0.0126 0.0043

12 -0.016 0.0081 -0.0187 0.0081

15 0.0463 0.0081 -0.009 0.0081

18 -0.0284 0.0082 0.0303 0.0082


Frequency Calibration Factor Calibration Factor uncertainty

(k=2)

0.01 0.9836 0.0071

0.05 1.0000 Reference

1 0.9936 0.0063

4 0.9822 0.0063

8 0.9798 0.0063

12 0.9818 0.0064

15 0.9851 0.0067

18 0.9936 0.0133


Annex A

21/44

7. UNCERTAINTY BUDGET

7.1. Calibration Factor Measurements Uncertainty Budget at First TÜBİTAK UME

Measurement

TÜBİTAK UME measured the travelling standard in 3 orientations. The measured values of

second orientation are given in Table 5-12. Uncertainty of the measurement contains the

reproducibility error of three orientations.

Model function :

STDGESTDGEGESTD

DUTGEDUTGEGEDUT

D

S

STD

DUTSTDDUT

Cos

Cos

Pm

Pm

P

PCFCF

21

2122

22

+R

Table 5. Calibration factor uncertainty budget form at 10 MHz

Definition

Expected Value

xi

Standard Uncertainty

u(xi)

Distribution Function

Sensitivity Coefficient

ci

Partial Variance of

the Uncertainty Contribution

Power of STD Power Sensor-PSTD (mW)

0.99905 0.00043 Normal (k=1) -0.98294 1.81E-07

Power of MON Power Sensor @ STD Power Sensor is measuring-PmS (mW)

0.992157 0.000048 Normal (k=1) 0.989769 2.22E-09

Power of DUT Power Sensor-PDUT (mW)

1.00146 0.00043 Normal (k=1) 0.98057 1.81E-07

Reproducibility – R 0.00000 0.00285 Normal (k=1) 1.00000 8.12E-06

Power of MON Power Sensor @ DUT Power Sensor is measuring-PmD (mW)

0.996584 0.000077 Normal (k=1) -0.985372 5.73E-09

Calibration Factor of the STD Power Sensor - CFSTD

0.9840 0.0038 Normal (k=2) 0.9980 3.60E-06

Reflection Coefficient of DUT Power sensor - ΓDUT

0.1051 0.0021 Normal (k=1) -0.0003 4.92E-13

Reflection Coefficient of STD Power sensor - ΓSTD

0.0588 0.0021 Normal (k=1) 0.0008 2.61E-12

Equivalent Reflection Coefficient of Power Splitter - ΓGE

0.0017 0.0025 Normal (k=1) 0.0067 2.83E-10

Phase of Reflection Coefficient of DUT Power Sensor - ΘDUT (rad)

-1.3695 0.0200 Normal (k=1) 0.0003 4.75E-11

Phase of Reflection Coefficient of STD Power Sensor - ΘSTD (rad)

-1.5095 0.0349 Normal (k=1) -0.0002 4.29E-11

Phase of Equivalent Reflection Coefficient of Power Splitter - ΘGE (rad)

2.8387 1.4914 Normal (k=1) 0.0002 5.43E-08

Measured Value 0.9820 Combined Uncertainty 0.0035

Expanded Uncertainty (k=2) 0.0070


Annex A

22/44


Definition

Expected Value

xi


u(xi)



ci

Partial Variance of



0.99737 0.00043 Normal (k=1) -1.00180 1.87E-07


1.001078 0.000039 Normal (k=1) 0.998087 1.48E-09


1.00058 0.00043 Normal (k=1) 0.99858 1.87E-07



1.004843 0.000033 Normal (k=1) -0.994348 1.11E-09


0.9997 0.0033 Normal (k=2) 0.9995 2.72E-06


0.0237 0.0020 Normal (k=1) -0.0024 2.27E-11


0.0129 0.0020 Normal (k=1) 0.0046 8.45E-11


0.0026 0.0025 Normal (k=1) 0.0012 8.73E-12


-1.15737 0.08463 Normal (k=1) 0.00011 8.27E-11


-1.78947 0.15495 Normal (k=1) -0.00003 2.03E-11


2.24554 0.97609 Normal (k=1) 0.00008 5.85E-09




Annex A

23/44

Table 7. Calibration factor uncertainty budget form at 1 GHz

Definition

Expected Value

xi


u(xi)



ci

Partial Variance of



0.99606 0.00043 Normal (k=1) -0.99715 1.85E-07


1.000108 0.000026 Normal (k=1) 0.993118 6.81E-10


0.99584 0.00043 Normal (k=1) 0.99737 1.85E-07



0.997577 0.000029 Normal (k=1) -0.995638 8.23E-10


0.9914 0.0033 Normal (k=2) 1.0018 2.73E-06


0.0104 0.0020 Normal (k=1) -0.0143 8.16E-10


0.0231 0.0020 Normal (k=1) -0.0139 7.69E-10


0.0077 0.0025 Normal (k=1) -0.0606 2.30E-08


-1.08177 0.19180 Normal (k=1) -0.00006 1.29E-10


2.88295 0.08670 Normal (k=1) 0.00015 1.74E-10


0.70302 0.32326 Normal (k=1) 0.00009 9.04E-10




Annex A

24/44


Definition

Expected Value

xi


u(xi)



ci

Partial Variance of



0.99761 0.00043 Normal (k=1) -0.98382 1.82E-07


0.992080 0.000046 Normal (k=1) 0.989304 2.04E-09


0.99213 0.00043 Normal (k=1) 0.98925 1.81E-07



0.989665 0.000047 Normal (k=1) -0.991718 2.18E-09


0.9838 0.0033 Normal (k=2) 0.9976 2.71E-06


0.0083 0.0020 Normal (k=1) 0.0072 2.08E-10


0.0512 0.0020 Normal (k=1) 0.0122 5.99E-10


0.0066 0.0025 Normal (k=1) 0.1041 6.77E-08


2.02578 0.24218 Normal (k=1) -0.00009 4.61E-10


-2.42534 0.03908 Normal (k=1) 0.00021 7.02E-11


2.09559 0.37957 Normal (k=1) 0.00013 2.28E-09




Annex A

25/44


Definition

Expected Value

xi


u(xi)



ci

Partial Variance of



0.99639 0.00043 Normal (k=1) -0.98227 1.80E-07


0.992916 0.000047 Normal (k=1) 0.985711 2.15E-09


1.00091 0.00043 Normal (k=1) 0.97784 1.80E-07



0.996522 0.000040 Normal (k=1) -0.982145 1.52E-09


0.9762 0.0033 Normal (k=2) 1.0026 2.74E-06


0.0133 0.0020 Normal (k=1) -0.0424 7.21E-09


0.0551 0.0020 Normal (k=1) 0.0402 6.45E-09


0.0244 0.0025 Normal (k=1) 0.0676 2.86E-08


-1.8640 0.1506 Normal (k=1) 0.0003 1.93E-09


-2.9147 0.0363 Normal (k=1) 0.0014 2.69E-09


2.3417 0.1025 Normal (k=1) 0.0017 3.11E-08




Annex A

26/44


Definition

Expected Value

xi


u(xi)



ci

Partial Variance of



0.99860 0.00043 Normal (k=1) -0.98171 1.82E-07


1.002851 0.000041 Normal (k=1) 0.977544 1.61E-09


1.01973 0.00044 Normal (k=1) 0.96136 1.80E-07



1.015498 0.000037 Normal (k=1) -0.965369 1.27E-09


0.9708 0.0033 Normal (k=2) 1.0098 2.78E-06


0.0236 0.0040 Normal (k=1) -0.0268 1.15E-08


0.0343 0.0040 Normal (k=1) 0.0572 5.24E-08


0.0300 0.0025 Normal (k=1) 0.0444 1.23E-08


-2.2904 0.1699 Normal (k=1) 0.0012 4.40E-08


2.6597 0.1166 Normal (k=1) 0.0005 3.04E-09


-2.8958 0.0833 Normal (k=1) 0.0017 2.02E-08




Annex A

27/44


Definition

Expected Value

xi


u(xi)



ci

Partial Variance of



0.98624 0.00043 Normal (k=1) -0.99693 1.82E-07


0.998880 0.000040 Normal (k=1) 0.984316 1.56E-09


0.99295 0.00043 Normal (k=1) 0.99020 1.83E-07



0.986531 0.000056 Normal (k=1) -0.996638 3.08E-09


0.9659 0.0033 Normal (k=2) 1.0179 2.82E-06


0.0457 0.0040 Normal (k=1) -0.0415 2.79E-08


0.0083 0.0040 Normal (k=1) 0.0573 5.25E-08


0.0300 0.0050 Normal (k=1) -0.0473 5.60E-08


-0.2666 0.0880 Normal (k=1) -0.0019 2.85E-08


0.7685 0.4793 Normal (k=1) -0.0001 3.29E-09


-0.5233 0.1666 Normal (k=1) -0.0020 1.15E-07




Annex A

28/44


Definition

Expected Value

xi


u(xi)



ci

Partial Variance of



0.98933 0.00043 Normal (k=1) -0.99580 1.85E-07


1.024125 0.000038 Normal (k=1) 0.961975 1.31E-09


1.00128 0.00043 Normal (k=1) 0.98392 1.82E-07



0.992961 0.000051 Normal (k=1) -0.992166 2.56E-09


0.9464 0.0035 Normal (k=2) 1.0410 3.32E-06


0.0417 0.0040 Normal (k=1) 0.0878 1.24E-07


0.0706 0.0041 Normal (k=1) -0.0901 1.33E-07


0.0571 0.0050 Normal (k=1) -0.0473 5.58E-08


2.3165 0.0962 Normal (k=1) -0.0029 7.92E-08


0.9993 0.0573 Normal (k=1) -0.0047 7.35E-08


1.5007 0.0875 Normal (k=1) -0.0077 4.48E-07




Annex A

29/44

7.2. Calibration Factor Measurements Uncertainty Budget at Second TÜBİTAK UME

Measurement

TÜBİTAK UME measured the travelling standard in 3 orientations. The measured values of third

orientation are given in Table 13-20. Uncertainty of the measurement contains the reproducibility

error of three orientations.

Model function :

STDGESTDGEGESTD

DUTGEDUTGEGEDUT

D

S

STD

DUTSTDDUT

Cos

Cos

Pm

Pm

P

PCFCF

21

2122

22

+R


Definition

Expected Value

xi


u(xi)



ci

Partial Variance of



0.99807 0.00043 Normal (k=1) -0.98433 1.81E-07


1.00148 0.00021 Normal (k=1) 0.98098 4.14E-08


1.00039 0.00043 Normal (k=1) 0.98205 1.81E-07



1.00541 0.00016 Normal (k=1) -0.97715 2.38E-08


0.9840 0.0038 Normal (k=2) 0.9984 3.60E-06


0.1064 0.0021 Normal (k=1) -0.0004 6.57E-13


0.0588 0.0021 Normal (k=1) 0.0008 2.61E-12


0.0017 0.0025 Normal (k=1) 0.0031 6.13E-11


-1.38556 0.01973 Normal (k=1) 0.00035 4.72E-11


-1.50954 0.03486 Normal (k=1) -0.00019 4.30E-11


2.83871 1.49137 Normal (k=1) 0.00016 5.70E-08




Annex A

30/44


Definition

Expected Value

xi


u(xi)



ci

Partial Variance of



1.00303 0.00043 Normal (k=1) -0.99598 1.87E-07


1.00011 0.00016 Normal (k=1) 0.99889 2.64E-08


1.00433 0.00044 Normal (k=1) 0.99469 1.87E-07



1.00210 0.000066 Normal (k=1) -0.99690 4.28E-09


0.9997 0.0033 Normal (k=2) 0.9993 2.72E-06


0.0234 0.0020 Normal (k=1) -0.0026 2.75E-11


0.0129 0.0020 Normal (k=1) 0.0046 8.44E-11


0.0026 0.0025 Normal (k=1) -0.0008 3.79E-12


-1.212526 0.085526 Normal (k=1) 0.000103 7.73E-11


-1.789465 0.154950 Normal (k=1) -0.000029 2.03E-11


2.245537 0.976086 Normal (k=1) 0.000074 5.17E-09




Annex A

31/44


Definition

Expected Value

xi


u(xi)



ci

Partial Variance of



1.01231 0.00044 Normal (k=1) -0.98022 1.85E-07


1.00253 0.00016 Normal (k=1) 0.98979 2.58E-08


1.00383 0.00044 Normal (k=1) 0.98850 1.85E-07



0.99278 0.000102 Normal (k=1) -0.99950 1.03E-08


0.9914 0.0033 Normal (k=2) 1.0009 2.73E-06


0.0084 0.0020 Normal (k=1) -0.0153 9.42E-10


0.0231 0.0020 Normal (k=1) -0.0139 7.68E-10


0.0077 0.0025 Normal (k=1) -0.0579 2.10E-08


-0.7008544 0.2388411 Normal (k=1) 0.0000003 4.40E-15


2.88295 0.08670 Normal (k=1) 0.00015 1.74E-10


0.70302 0.32326 Normal (k=1) 0.00015 2.43E-09




Annex A

32/44


Definition

Expected Value

xi


u(xi)



ci

Partial Variance of



1.01859 0.00044 Normal (k=1) -0.963003 1.81E-07


1.006527 0.00012 Normal (k=1) 0.974541 1.42E-08


1.00171 0.00044 Normal (k=1) 0.979228 1.82E-07



0.993471 0.000085 Normal (k=1) -0.987349 7.11E-09


0.9838 0.0033 Normal (k=2) 0.9971 2.71E-06


0.0085 0.0021 Normal (k=1) 0.0074 2.29E-10


0.0512 0.0020 Normal (k=1) 0.0122 5.98E-10


0.0066 0.0025 Normal (k=1) 0.1045 6.83E-08


2.008134 0.241176 Normal (k=1) -0.000090 4.72E-10


-2.425336 0.039081 Normal (k=1) 0.000214 7.01E-11


2.095592 0.379573 Normal (k=1) 0.000124 2.22E-09




Annex A

33/44


Definition

Expected Value

xi


u(xi)



ci

Partial Variance of



1.02738 0.00045 Normal (k=1) -0.95305 1.80E-07


1.01100 0.00018 Normal (k=1) 0.96849 2.93E-08


1.01470 0.00044 Normal (k=1) 0.96496 1.81E-07



0.99716 0.000114 Normal (k=1) -0.98194 1.26E-08


0.9762 0.0033 Normal (k=2) 1.0030 2.74E-06


0.0135 0.0022 Normal (k=1) -0.0440 8.96E-09


0.0551 0.0020 Normal (k=1) 0.0402 6.46E-09


0.0244 0.0025 Normal (k=1) 0.0664 2.75E-08


-1.94169 0.15903 Normal (k=1) 0.00025 1.60E-09


-2.91466 0.03629 Normal (k=1) 0.00143 2.70E-09


2.34170 0.10247 Normal (k=1) 0.00168 2.97E-08




Annex A

34/44


Definition

Expected Value

xi


u(xi)



ci

Partial Variance of



1.03940 0.00045 Normal (k=1) -0.94362 1.81E-07


1.01581 0.00013 Normal (k=1) 0.96553 1.50E-08


1.03555 0.00045 Normal (k=1) 0.94713 1.81E-07



1.00308 0.000098 Normal (k=1) -0.97779 9.11E-09


0.9708 0.0033 Normal (k=2) 1.0103 2.78E-06


0.0246 0.0041 Normal (k=1) -0.0262 1.13E-08


0.0343 0.0040 Normal (k=1) 0.0573 5.25E-08


0.0300 0.0025 Normal (k=1) 0.0440 1.21E-08


-2.27854 0.16456 Normal (k=1) 0.00130 4.56E-08


2.65969 0.11659 Normal (k=1) 0.00047 3.04E-09


-2.89581 0.08333 Normal (k=1) 0.00177 2.18E-08




Annex A

35/44


Definition

Expected Value

xi


u(xi)



ci

Partial Variance of



1.04669 0.00046 Normal (k=1) -0.94084 1.84E-07


1.01956 0.00018 Normal (k=1) 0.96588 3.19E-08


1.02080 0.00044 Normal (k=1) 0.96471 1.82E-07



0.97367 0.000101 Normal (k=1) -1.01140 1.04E-08


0.9659 0.0033 Normal (k=2) 1.0195 2.83E-06


0.0472 0.0041 Normal (k=1) -0.0446 3.27E-08


0.0083 0.0040 Normal (k=1) 0.0574 5.27E-08


0.0300 0.0050 Normal (k=1) -0.0542 7.34E-08


-0.19199 0.08587 Normal (k=1) -0.00183 2.48E-08


0.76845 0.47933 Normal (k=1) -0.00012 3.30E-09


-0.52328 0.16657 Normal (k=1) -0.00195 1.06E-07




Annex A

36/44


Definition

Expected Value

xi


u(xi)



ci

Partial Variance of



1.01951 0.00044 Normal (k=1) -0.97747 1.87E-07


1.02367 0.00017 Normal (k=1) 0.97350 2.90E-08


1.00166 0.00043 Normal (k=1) 0.99489 1.87E-07



0.95248 0.000070 Normal (k=1) -1.04626 5.34E-09


0.9464 0.0035 Normal (k=2) 1.0530 3.40E-06


0.0415 0.0041 Normal (k=1) 0.0883 1.31E-07


0.0706 0.0041 Normal (k=1) -0.0911 1.36E-07


0.0571 0.0050 Normal (k=1) -0.0484 5.87E-08


2.3238 0.0987 Normal (k=1) -0.0030 8.62E-08


0.9993 0.0573 Normal (k=1) -0.0048 7.52E-08


1.5007 0.0875 Normal (k=1) -0.0078 4.61E-07




Annex B

37/44

ANNEX B. COMPARISON MEASUREMENTS REPORT of SASO NMCC

1. PARTICIPANT INFORMATION

Laboratory Name RF and Microwave

Contact Person Ahmed Hamad AlJawan

Telephone No +966 11 252 9741

Fax No +966 11 207 6484

E-mail [email protected]

Address

Saudi Standards, Metrology and Quality Organisation

of The Kingdom of Saudi Arabia (SASO)

Riyadh 11471, P.O. Box 3437 Kingdom of Saudi

Arabia

2. MEASUREMENT DATE

26/06/2018- 19/07/2018

3. ENVIRONMENTAL CONDITION

Temperature : (23 ± 2) C

Relative Humidity :(45 ± 15) %rh

4. REFERENCES USED IN MEASUREMENT

Instrument Name

Manufacturer Type / Model Serial No Traceability

Vector Network Analyzer

Keysight N5225A MY51451320

SASO

2016/57/TI-MI 1C

SASO-2016/57/TI-MI 3C

Type N Calibration Kit

Keysight 85054B MY39200420 SASO

2016/57/TI-MI 3C

VNA Cables Keysight 85135-60002 Port1: 50396

Port2: 50397

SAS0

2016/57/TI-MI 3C

Signal Generator

Keysight E8257D MY53400800 SASO

2018-323-TF-TF-3 C

Power Meter Agilent N1914A MY54266033 UME

G1MD-0114 (14-09-2015)


Annex B

38/44

Instrument Name

Manufacturer Type / Model Serial No Traceability

Power Meter Agilent N432A MY54406003 UME

2015-G1MD-0106 (14-09-2015)

Thermistor mount

Agilent 8478B MY55070005 UME

2015G1MD-0100 (04-09-2015)

Power splitter Agilent 11667A MY51357191 UME

2015-G1MD-0115 (16-09-2015)

Power sensor Agilent N8481A MY54220012 Keysight

Vector Network Analyzer

Keysight N5225A MY51451320

SASO

2016/57/TI-MI 1C

SASO-2016/57/TI-MI 3C

5. MEASUREMENT METHOD

Calibration factor measurement of the travelling standard was performed using a direct

comparison method at an applied RF power of 0 dBm. A standard thermistor mount and a

travelling standard were connected to one of the output ports of the power splitter while a monitor

power sensor was attached to the other output port of the power splitter. A microwave power was

applied to the input port of the power splitter while the standard thermistor mount (STD) is

connected to the splitter, then the output power of the splitter was measured using the monitor

power sensor and the STD thermistor mount. After the measurement finished, STD thermistor

mount was disconnected from the power splitter port and the travelling standard (DUT) was

connected immediately. Then, again, a microwave power was applied to the input port of the

splitter and the power at the two output ports was measured using monitor and DUT power

sensors.

The calibration factor of the STD thermistor mount and the measured power values; using

STD, DUT, and monitor power sensors; were used to calculate the calibration factor of the DUT

power sensor, after applying a mismatch correction. Reflection coefficient of the travelling

standard (power sensor) was measured using the Vector Network Analyzer setup after applying a

SOL (Short, Open, Load) calibration method. The declared final calibration factor values of the

travelling standard are relative to the calibration factor at a reference frequency of 50 MHz.

Ahmed ALJAWAN and Ibrahim ALBORAIH have performed the reported measurements.




Annex B

39/44

6. MEASURMENT RESULT

Measured pin depth: -0.0017 inches, U (k=2) =0.0012 inches

Table 1. Reflection coefficient

Frequency

(GHz) Real Part

Real

Uncertainty

(k=2)

Imaginary

Part

Imaginary

Uncertainty

(k=2)

0.01 0.0205 0.0063 -0.1032 0.0063

0.05 0.0085 0.0060 -0.0218 0.0060

1 0.0051 0.0060 -0.0069 0.0060

4 -0.0045 0.0060 0.0104 0.0060

8 0.0015 0.0060 -0.0154 0.0060

12 -0.0180 0.0140 -0.0246 0.0140

15 0.0509 0.0140 0.0025 0.0140

18 -0.0356 0.0140 0.0317 0.0140


Frequency Calibration Factor Calibration Factor

Uncertainty (k=2)

10 MHz 0.9776 0.0083

50 MHz 1.0000 Reference

1 GHz 0.9976 0.0086

4 GHz 0.9853 0.0090

8 GHz 0.9814 0.0127

12 GHz 0.9858 0.0133

15 GHz 0.9884 0.0151

18 GHz 0.9966 0.0267


Annex B

40/44

7. UNCERTAINTY BUDGET

7.1. Calibration Factor measurements uncertainty budget

Model function : CFDUT=CFSTDPDUT

PSTD

PmS

PmDMM MM=

MD

MS

Where MD is mismatch between DUT power sensor and power splitter and MS is mismatch

between STD Power sensor and power splitter.

Table 3. Uncertainty budget of CF at 10 MHz frequency

Definition Expected

Value xi


u(xi)



ci

Partial Variance of the

Uncertainty Contribution

Power for standard sensor (PSTD) (mW)

0.9877 0.0006 Normal (k=1) -0.9915 3.61E-07

Power for standard monitor sensor (PmS) (mW)

0.9766 0.0004 Normal (k=1) 1.0028 1.52E-07

Power for DUT sensor (PDUT) (mW)

0.9877 0.0029 Normal (k=1) 0.9915 8.13E-06

Power for DUT monitor sensor (PmD) (mW)

0.9830 0.0003 Normal (k=1) -0.9962 8.92E-08

Calibration factor of the standard sensor (CFSTD)

0.9858 0.0058 Normal (k=2) 0.9934 8.30E-06

Mismatch correction (MM)

1.000 0.0006 Normal (k=1) 0.9793 3.17E-07




Annex B

41/44

Table 4. Uncertainty budget of CF at 50 MHz frequency

Definition Expected

Value xi


u(xi)



ci




0.9967 0.0007 Normal (k=1) -1.0050 4.58E-07


0.9980 0.0003 Normal (k=1) 1.0037 1.11E-07


1.0038 0.0029 Normal (k=1) 0.9978 8.41E-06


1.0026 0.0003 Normal (k=1) -0.9991 7.64E-08


0.9990 0.0059 Normal (k=2) 1.0027 8.75E-06

Mismatch correction (MM) 1.0000 0.0001 Normal (k=1) 1.0016 1.70E-08



Table 5. Uncertainty budget of CF at 1 GHz frequency

Definition Expected

Value xi


u(xi)



ci




0.9917 0.0007 Normal (k=1) -1.0076 5.57E-07


0.9977 0.0004 Normal (k=1) 1.0015 1.81E-07


0.9948 0.0029 Normal (k=1) 1.0045 8.34E-06


0.9936 0.0003 Normal (k=1) -1.0057 6.75E-08


0.9925 0.0061 Normal (k=2) 1.0068 9.43E-06





Annex B

42/44


Definition Expected

Value xi


u(xi)



ci




0.9830 0.0013 Normal (k=1) -1.0041 1.70E-06


0.9836 0.0006 Normal (k=1) 1.0035 4.02E-07


0.9778 0.0028 Normal (k=1) 1.0094 8.18E-06


0.9785 0.0005 Normal (k=1) -1.0087 2.27E-07


0.9864 0.0062 Normal (k=2) 1.0006 9.62E-06





Definition Expected

Value xi


u(xi)



ci




0.9768 0.0012 Normal (k=1) -1.0064 1.55E-06


0.9781 0.0011 Normal (k=1) 1.0051 1.25E-06


0.9757 0.0046 Normal (k=1) 1.0075 2.16E-05


0.9792 0.0010 Normal (k=1) -1.0040 1.09E-06


0.9799 0.0076 Normal (k=2) 1.0032 1.45E-05





Annex B

43/44


Definition Expected

Value xi


u(xi)



ci




0.9740 0.0015 Normal (k=1) -1.0138 2.18E-06


0.9795 0.0010 Normal (k=1) 1.0082 9.93E-07


0.9716 0.0029 Normal (k=1) 1.0162 8.49E-06


0.9684 0.0003 Normal (k=1) -1.0197 1.20E-07


0.9690 0.0110 Normal (k=2) 1.0190 3.14E-05





Definition Expected

Value xi


u(xi)



ci




0.9671 0.0017 Normal (k=1) -1.0237 2.90E-06


0.9774 0.0014 Normal (k=1) 1.0129 1.95E-06


1.0061 0.0062 Normal (k=1) 0.9840 3.69E-05


1.0026 0.0010 Normal (k=1) -0.9875 9.19E-07


0.9698 0.0072 Normal (k=2) 1.0209 1.35E-05





Annex B

44/44


Definition Expected

Value xi


u(xi)



ci




0.9518 0.0012 Normal (k=1) -1.0489 1.59E-06


0.9821 0.0013 Normal (k=1) 1.0164 1.80E-06


1.0156 0.0051 Normal (k=1) 0.9829 2.51E-05


1.0055 0.0006 Normal (k=1) -0.9928 3.57E-07


0.9590 0.0230 Normal (k=2) 1.0409 1.43E-04




Documents

Final · Final GULFMET.EM.RF-S2 Coordinating Laboratory; Dr. Erkan DANACI, Özlen TUNCEL, Dr. Murat CELEP TUBITAK UME, National Metrology Institute, Turkey Contributing Laboratory: