Allia3 DflTDbS

NAFL INST OF STANDARDS & TECH R.I.C.

A1 11 03087069

Rogers, George J/Measurement of translst QC100 .U57 NO.400-5, 1975 C.2 NBS-PUB-C J

NBS SPECIAL PUBLICATION 400-5

U.S. DEPARTMENT OF COMMERCE / National Bureau of Standards

semiconductor Measurement Technology:

Measurement of Transistor

Scattering Parameters
NATIONAL BUREAU OF STANDARDS

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Part of the Center for Building Technology.
14 1975

^ Semiconductor Measurement Technology:

Measurement of Transistor Scattering Parameters

George J. Rogers and

David E. Sawyer

Electronic Technology Division

Institute for Applied Technology

I .S. National Bureau of Standards

Washington, D.C. 20234

Ramon L. Jesch

Electromagnetics Division

Institute for Basic Standards

National Bureau of Standards

Boulder, Colorado 80302

Jointly sponsored by: The National Bureau of Standards and

The Air Force Weapons Laboratory

6.

U.S. DEPARTMENT OF COMMERCE, Frederick B. Dent, Secrefary

NATIONAL BUREAU OF STANDARDS, Richard W. Roberts, Director

Issued January 1975
Library of Congress Catalog Card Number: 74-600204

National Bureau of Standards Special Publication 400-5

Nat. Hiir. Stand. (U.S.), Spec. Publ. 400-5,53 pages (Jan. 1975) CODEN: XNBSAV

U.S. GOVERNMENT PRINTING OFFICE

WASHINGTON: 1975 For sule by I lie Siiperiiiteiuleiit of Dociiiiients, U.S. Government Printing Office, Washington, D.C. 20402 (Order by SI) Catalog No. C13.10:400-5).

Price $1.10
TABLE OF CONTENTS

PAGE

1, Introduction 1

2. S-Parameter Measurements 2

2.1 Introduction 2

2.2 Test Plan 3

2.3 Transistors and Biases 5

2.4 Calibration Procedures , 6

2.5 Results of Measurements 10

2.6 Conclusions 13

5. Electrical Characterization of Transistor Probe Assemblies 14

3.1 Background 14

3.2 Measurements and Results 14

j 3.3 Conclusions 18

I. Acknowledgements 18

kppendix 1 Plan for an interlaboratory comparison of transistor scatteringI parameter measurements 19

^ppendix 2 Statistical summary of representative S-parameter measurements .... 23

keferences 48

1

LIST OF ILLUSTRATIONS

I

I PAGE

!. . R-C networks 3 The test plan at a glance 5 Basic S-parameter measurement circuit 6 Coaxial through line and attenuators 9

ij

I . Special probe assembly 14

L Schematic diagram of probe assembly 15

' L Circuits used for determination of admittances of the probe assemblies ... 15

I. S parameters of probe assemblies referred to port A 17

iii
LIST OF TABLES

1. Equipment used by participants

2. Comparison of calibration procedures

3. Effect of calibration method on s^^^ measurements

4. Effect of calibration method on S22 measurements

5. Variability of R-C network S-parameter measurements

6. Between-laboratory variability of typical transistor S-parameter measurements

Al. Summary of = 11 A2. Summary of = 11 phase measurements

A3. Summary of = 21 A4. Summary of = 21 phase measurements

AS. Summary of = 11 magnitude measurements by five labs on R-C network 4 - common fixture . . . . A6. Summary of = 11 A7. Summary of = 21 A8. Summary of = 21 A9. Summary of = 11 magnitude measurements by five labs on R-C network 4 - participant's fixture

AlO. Summary of = 11 All. Summary of = 21 A12. Summary of =21

A13. Summary of = 11 magnitude measurements by three labs on R-C network 4 - common fixture . . . A14. Summary of = 11 A15. Summary of = 21 A16. Summary of = 21 A17. Summary of = 11 magnitude measurements by three labs on R-C network 4 - participant's fixture

A18. Summary of = 11 A19. Summary of = 21 A20. Summary of = 21 A21. Summary of S-parameters of transistor 2N3960(f) measured by five laboratories in

participant's transistor fixture. = 5V, 1^ = 2.5 mA

A22 . Summary of S-parameters of transistor 2N3960(f) measured by three laboratories in participant's transistor fixture. V^g = 5V, 1^ = 2.5 mA

A23. Summary of S-parameters of transistor 2N709(g) measured in participant's transistor

fixture. V„_ = 5V, I„ = 2.5 mA

CE E

a. Data from five laboratories

b. Data from three laboratories

A24. Summary of S-parameters of transistor 2N918(a) measured in participant's transistor

fixture. V^^ = 5V, 1^ = 2.5 mA

a. Data from five laboratories

b. Data from three laboratories

iv
Measurement of Transistor Scattering Parameters

George J. Rogers

David E, Sawyer

Ramon L. Jesch

Abstract: Results o£ an interlaboratory comparison of transistor

scattering-parameter measurements are reported for transistor types

2N709, 2N918 and 2N3960. From these results it is estimated that,

for such devices, between - laboratory variability of transistor Sparameter measurements in the frequency range between 200 and 2000

MHz could be held to a maximum relative sample standard deviation

of 7.5 percent in the measurement of magnitude and a maximum sample

standard deviation of 8 degrees in the measurement of s^^ phase and

3.5 degrees in the measurement of phase of other S-parameters

This could be done if all participants were required to use the same calibration procedure and to limit their test signal to a level that would assure small-signal operation. In a separate

study, the equivalent circuit of high-frequency probes used in

characterizing the parameters of integrated circuits was evaluated

by measuring S parameters at the input connectors with the probe

tips in contact with known loads. These measurements revealed a resonance which would limit the usefulness of the probes for meas- urements in the vicinity of 1.2 GHz. Work is under way to determine design changes needed to eliminate this resonance.

Key Words: Electronics; high-frequency probes; interlaboratory

comparison; scattering parameters; S parameters; transistors

it 1, INTRODUCTION

^ In response to a request from the Air Force Weapons Laboratory (AFWL) , the National

jjureau of Standards in 1971 undertook a project to assist in improving instrumentation

[nd procedures utilized in measurements associated with the prediction of the effects

4i;'f nuclear radiation on semiconductor devices. The work during the period January 1971

jio August 1972 was reported in AFWL Report AFWL-TR-73-54 , Measurement of Transit Time

'Ind Related Transistor Characteristics [I]'''.

I

That report discussed some of the causes of discrepancies in the measurement of

Iransistor transit time, particularly when h^^ is degraded as happens when transistors

jre irradiated by neutrons, and suggested techniques for improving transit-time measureients . In addition, scattering parameters were defined, a test plan for an interaboratory comparison of transistor scattering-parameter measurements was outlined,

jpecial probes for measuring the high-frequency characteristics of transistors in in1 egrated-circuit wafers were described, and techniques were developed for determining

] he equivalent circuit of these probes in the 0.2 to 2 GHz frequency range.

This report covers the work from September 1972 to July 1973. It describes the

jpsults of the interlaboratory comparison of transistor S-parameter measurements, and

flows how the equivalent circuit of the high-frequency probes can be characterized by

. jsans of S parameters using the previously-described techniques. The S-parameter

easurements on the high-frequency probes disclosed resonances which limit the usefulfess of the probes in the vicinity of 1.2 GHz. As a result, additional work has been

2

: ittdertaken by the NBS Boulder Laboratories to determine design changes needed to

I ,liminate these resonances and to further refine the probing technique.

Figures in brackets refer to references on page 48.

AFWL Project Order PO-74-144, AC Probe Characterization.

1
2. S-PARAMETER MEASUREMENTS

2.1 Introduction

The interlaboratory comparison of transistor scattering-parameter measurements

conducted by the National Bureau o£ Standards for the Air Force Weapons Laboratory was designed to determine the extent of the agreement between transistor measurements made

in different laboratories using each laboratory's own equipment and personnel. Measurement and calibration procedures were not specified; the procedures used were those

normally employed by the participating laboratory for this type of measurement. Six

organizations took part in the experiment. In addition to the National Bureau of

Standards, these included one other government laboratory, three transistor suppliers,

and one transistor user. All but one made the measurements on the same type of automatic network analyzer; the other used the manually -operated equivalent. (Table 1)

To provide the necessary data, each laboratory measured the scattering parameters

[1,2,3] of a set of selected transistors of types 2N709, 2N918 and 2N3960 over the

frequency range from 200 to 2000 MHz. In addition, each laboratory measured a number

of passive devices to provide data for the assessment of within- laboratory variability

and to provide information on between-laboratory variability for comparison with the

transistor data.

Analysis of the transistor data taken by the five laboratories which used automatic network analyzers revealed that the relative sample standard deviation of meas- urements of the magnitude of S2-j^, ^''^^ ^22 less, and that the sample

standard deviation of phase measurements did not exceed 3.5 deg . In the measurement

of Sj^j^, relative sample standard deviations as high as 46% were recorded in the meas- urement of magnitude and sample standard deviations as large as 34 deg occurred in the

measurement of phase. S-parameter measurements made manually by the sixth laboratory were in general agreement with those made by the other five.

The variability of the s^^^ measurements was due in large part to the variability

introduced by the differences in calibration procedures employed by the participants

when using the transistor fixture. The variability of the S2j measurements was ex- aggerated because the signal level applied to the transistor by one of the participants

exceeded the requirements for small-signal conditions, resulting in overdriving the

transistor when measuring the forward characteristics. If these sources of variabilit) were eliminated by specifying the calibration method to be used and by specifying a maximum signal level to the transistor under test, a considerable reduction in the

variability of S-parameter measurements could be expected.

TABLE 1 - Equipment used by participants

Equipment

Frequency accuracy^

Signal level to transistor

Type of bias meter

Frequency of calibration

of bias meters Laboratory temperature

LAB 1 LAB 2 LAB 3 LAB 4 LAB 5 LAB 6

ANA'^ ANA^ ANA*^ ANA'^ ANA'^ MANUAL^

±7kHz ±7kHz ±7kHz ±7kHz ±7kHz

±5MHz (f<lGhz)

±1% (l<f^2)GHz

-27dBm -34dBm -UdBm"^ -30dBm -30dBm -30dBm

Panef Panel^ Digital-^ Panel^

V-p Panel^„

I^^DigitaV

Panel^

Quarterly Quarterly No fixed

schedule

Annual ly Annually Annually

24°-24.5°C 24°C 23°-24°C 24°C 24°-26"'C 24°C '

a automatic network analyzer

b manually operated S-parameter test set

a specified by manufacturer

d exceeds small -signal conditions

e 2-inch panel meter (accuracy ±4% of full scale)

/ y^.^: 5 digit; I^: 3-1/2 digit

4ic

2
a

Construction External appearance

f-oC

Capacitance in pF

Values are approximate

NETWORK R,n C,pF

R-C 2 10 20

R-C 3 20 5.1

R-C 4 20 10

Tolerance: ± 101

Circuit

Figure 1. R-C networks

2.2 Test Plan

The test plan for the interlaboratory comparison was adopted after consultation

with the participants to determine the type of measuring equipment they intended to use,

It provided for the measurement of 18 transistors (6 of each type) at 7 biases. In addition, five passive devices were circulated for measurement; these were three R-C

networks mounted on TO-72 headers (Fig. 1) and two 10-dB coaxial attenuators. The test

plan is summarized in figure 2, and the complete test plan is reproduced in Appendix 1. The R-C networks were used to provide stable devices of known characteristics

Tvhich could be measured at the transistor socket. No attempt was made to duplicate the

equivalent circuit of a transistor. One terminal of a porcelain UHF capacitor was bonded to the TO-72 header and to the base lead of the package, and glass -pass ivated

chip resistors were connected between the other terminal of the capacitor and the

lemitter and collector terminals of the package. The temperature coefficient of the

jR-C product is between +50 and +250 ppm/°C. Because of the construction, the R-C networks were measured in the grounded-base configuration.

3
Included with these devices were a transistor fixture to adapt the S-parameter

test set for the measurement of transistors in TO-18 and TO-72 packages, the calibration standards for use with this transistor fixture, and a U-shaped coaxial line fitted

with precision 7-mm connectors. The coaxial line was used to connect the output ports

of the network analyzers for calibration, and was also used to connect the two 10-dB

attenuators in series for measurement.

The following instructions were used to implement the test plan:

1. Calibrate at the output ports of the network analyzer and measure the 20-dB coaxial attenuator (actually two 10-dB attenr

uators connected in series by means of a length of coaxial

line) at frequencies between 200 and 2000 MHz in 100-MHz increments .

2. Calibrate the system using the common transistor fixture and measure the three R-C networks at frequencies between 200 and

2000 MHz in 100-MHz increments.

3. Calibrate the system with each participant using his own transistor fixture and measure the three R-C networks, nine of the

transistors (three of each type) , and the three R-C networks

a second time

4. Calibrate the system using the common transistor fixture and

repeat the measurements on the three R-C networks.

5. Calibrate the system at the output ports of the network

analyzer and repeat the measurements on the 20-dB attenuator.

6. Repeat the entire series of measurements, 1 through 5 above,

but substitute the second group of nine transistors in step 3. Measurements made on the 20-dB attenuator provided a basis for determining both

the within- and between-laboratory variability of measurements made by the basic meas- urement system, independently of adapters and auxiliary equipment needed for the meas- urement of transistors. Measurement of the R-C networks using a common transistor fix

ture for adapting the network analyzer for the measurement of transistors provided an estimate of the variability introduced by the transistor fixture. Finally, measurement

of the R-C networks in the participant's own transistor fixture provided a measure of

the variability introduced by the change in transistor fixtures as well as data which

are independent of bias for comparison with the transistor measurements.

Each laboratory obtained the following data:

Four sets of measurements on the 20-dB attenuator.

Four sets of measurements on each of the three R-C networks meas- ured in a common transistor fixture.

Four sets of measurements on each of the three R-C networks meas- ured in each participant's own transistor fixture.

One set of measurements on each of the selected transistors. The

2N709s and 2N918s were measured in 100-MHz increments over the

frequency range from 200 to 1000 MHz; the 2N3960s were measured at frequencies between 200 and 1800 MHz,

All transistor measurements were made at a collector-emitter bias of 5 V. Most

participants took data at emitter currents of 1.6, 2.0, 2.5, 4.0 5.0, 8.0 and 10.0 mA

To shorten the time required, one participant measured at every other emitter current

and measured only three each of the 2N709s and 2N918s. Aji, The participant who used a manual system for measurement measured the transistors

at only one bias, a collector-emitter voltage of 5 V and an emitter current of 2.5 mA,

and measured both the transistors and passive devices at fewer frequencies than the

laboratories which used automatic systems.

ilci

stit

S

Sill

ill h
1 CALIBRATE

NETWORK

ANALYZER

COMMON

TRANSISTOR

FIXTURE

-^CALIBRATE-^

PARTICIPANT'S

TRANSISTOR

FIXTURE

MEASURE

ATTENUATORS

MEASURE

R-C NETWORKS

BIAS

1 4 5

MEASURE MEASURE

R-C NETWORKS TRANSISTORS

Con5)ares systems and

their calibration with- ' out transistor fixture.

-.tl

Detects differences in- troduced by transistor

fixture and its calibration.

All participants used

same transistor fix- ture in measuring R-C networks. No bias re- quired.

Compares participant's

and common transistor

fixtures. No bias re- quired .

Measures transistors

by the method normally

employed by the par- ticipant .

Figure 2. The test plan at a glance.

,2.3 Transistors and Biases

j The transistors selected for the interlaboratory comparison, types 2N709, 2N918

and 2N3960, are all n-p-n silicon types with either TO-18 or TO-72 cases. The units

(lised were either JAN-TX types, which had been burned in for 168 hours, or devices which

tfere burned in at NBS . The S parameters of a group of transistors were measured over a Ueriod of several months and the six most stable units of each type were selected for

I heasurement in the round robin.

To detect any change in transistor characteristics during the course of the interaboratory comparison, the S parameters of each of the transistors were measured at a

.: ollector-emitter bias of 5 V and an emitter current of 2.5 mA on the NBS network

tnalyzer before the testing was begun, again after every second laboratory had com- fleted its measurements, and finally at the conclusion of the tests. Transistor h^^

' alculated from the S-parameter measurements remained stable during this period.

' faring these control measurements, collector-emitter voltage was maintained within

:0.2% and emitter current within ±0.4% of the selected values.

, The test plan did not specify how accurately the transistor biases were to be

ieasured or maintained. All participants set the biases manually. Most participants

ised the two-inch panel meters on the power supply for the measurement of collectormitter voltage and emitter current. Collector voltage was measured on the 10-V scale

ffid emitter current on the 3-mA or 10-mA scales of these meters, which had a specified

5
r

NETWORK ANALYZER

50 n ^

TERMINATION

DIRECTIONAL

COUPLER

X

RF IN o

DIRECTIONAL

COUPLER

1^

REFERENCE

SIGNAL

TRANSISTOR

PORT FIXTURE

B r 1 TRANSISTOR

UNDER TEST

_1

TEST SIGNALS

REFLECTED TRANSMITTED

Figure 3. Basic S-pararaeter measurement circuit.

accuracy of ±41 of full scale. Two of the participants used 3-1/2 digit digital

meters to set the emitter current within 0.01 mA, and one of these participants also

used a 5-digit meter for the measurement of collector-emitter voltage to 0,01 V. The case temperature of the transistors was not controlled during the measurement

Results of qualitative tests to determine the effect of case temperature on S-parameter values indicated that temperature effects are not a problem at the bias levels

used. Laboratory temperatures ranged between 23° and 26''C (74° and 79°?).

2.4 Calibration Procedures

The S-parameter measurement system, figure 3, includes two directional couplers

for sampling the incident (reference) signal and the reflected and transmitted test

signals. Devices which are equipped with coaxial connectors are measured at ports A

and B. For the measurement of transistors, the transistor fixture is used to provide

the transition between the coaxial terminals, ports A and B, and a transistor socket.

The transistor is connected as shown for the measurement of forward characteristics;

the functions of ports A and B are transposed for the measurement of reverse characteristics .

To calibrate the measurement system, loads of known characteristics are measured

to determine correction factors for minimizing errors caused by mismatch, directivity

of the directional couplers, cross-talk, and frequency response. The loads employed

for this purpose are a 50-fi termination, a short circuit, an open circuit, and a through line which connects either ports A and B or the emitter and collector terminal

of the transistor socket, depending on the location of the reference plane to be used

for device measurement. In the manual system only one of the calibration standards

is used, and the corrections are made by manually setting the magnitude and phase mete- to the correct value for the standard in use. In the automatic systems, a series of

tests is made using each of the calibration standards in turn; corrections obtained

from these measurements are stored in the computer and applied to the data when device^

measurements are made.

6
Table 2 -- Comparison of calibration procedures

STEP SPECIFIED LOAD

20-clB ATTENUATOR

REFERENCE PLANE AT WHICH LOAD IS CONNECTED FOR MEASUREMENT

C

OF:

LAB 5 TRA.NSISTORS AND R- LAB 4 LAB 2 NETWORKS

LAB 1 LAB 3 1,2

3

4,5

6.7

8

50Q. at input

and output

son at both^

terminals

Short at input

and output

Open at input

and output

Capacitance

Through line

Length

Output ports

Output ports'

Output ports

Output ports

0.21 pF^

Output ports

46.525 cnf

Transistor

socket

Thru line at'^ transi stor socket

Output ports Output ports Output ports

Transistor Transistor

socket socket

Transistor

socket

Transi stor socket

-0.6 pF^

Transistor

socket

Transistor

socket

Not measured

Transistor

socket

d

0.1 cm' 0.1 cm"

Transistor Transistor Output ports

Transistor Output ports Output ports

socket

Transistor Output ports Output ports

socket

-0.195 pF-^ 0.21 pF^ 0.21 pF^

Transistor Transistor Transistor

socket socket socket

0.1 cm 49.05 cm^ 49.05 cm^

Line terminated in SOn at output of directional coupler

Terminals left open when calibrating at transistor socket

One participant left terminals open when making this measurement

Not measured because at least 10-dB of isolation provided between output ports and transistor socket

Specified by manufacturer of test equipment

Empirically determined by participant

Through line and data on length furnished by NBS

Length of through line for TO-18 socket (specified by manufacturer)

Total length of transistor fixture with through line

'I Since they must be connected at the measurement reference plane, two sets of

jcalibration standards are required, one for connection at the output ports of the netIwork analyzer when the device to be measured is equipped with coaxial connectors , and

jone for connection at the transistor socket when the device to be measured plugs into

la transistor socket. Each of the participants had a complete set of calibration

[standards for use at the output ports of the system. Instead of a flexible coupling,

ijwhich would ordinarily be used as a through line to join ports A and B, NBS furnished

a length of coaxial line fitted with suitable connectors (shown attached to the 10-dB

iitsJ:&ttenuators in figure 4) to eliminate errors that might have been caused by rotating

jjoints. This coaxial line was also used to connect the 10-dB attenuators in series,

thus eliminating the use of flexible couplings in their measurement. Terminals of

both the through line and coaxial attenuators were labeled A and B to assure that they

|ivere connected to the network analyzer in the same way each time to minimize errors paused by asymmetry. With a minor exception (see table 2), all participants used the

same procedure for calibration at ports A and B of the automatic network analyzer.

i Laboratory 5, the only participant who had a complete set of calibration standards for the transistor socket, was able to use the same calibration procedure at Doth the coaxial terminals and the transistor socket (table 2) . The other laboritories lacked a 50-fi termination for the transistor fixture. This posed no difficulty in the case of the manual system, since with the manual system only one of the

alibration standards is used. The other laboratories using automatic systems varied

he calibration procedure to compensate for the lack of a 50-n termination, but no wo performed this calibration in exactly the same way.

f

"i Laboratories 1, 2 and 3 used similar, but not identical procedures. Each perf'ormed the first two calibration steps, which call for the use of a 50-R termination,

|.t the coaxial terminals of the analyzer using the coaxial SO-fi termination. Laboritory 3 continued to calibrate at the coaxial terminals until the final step when the

iransistor fixture with through line inserted in the transistor socket was connected.

|.t the third step. Laboratory 2 connected the transistor fixture with the transistor

5 'erminals open and completed the calibration with the transistor fixture in place,

jijteJ-Sing the short, open and through line at the transistor socket. Laboratory 1 connectjf ,d the transistor fixture with the transistor terminals open at the third calibration

I 'tep, then went back to the coaxial terminals for calibration with the open and short,

,yjjjj:nd completed the calibration with the transistor fixture in place and the through

ine in the transistor socket.

7
Table 3 - Effect of Calibration Method on Measurements

R-C NETWORK 4 DATA TAKEN ON NBS ANALYZER

AFTER IT WAS CALIBRATED BY METHOD OF:

LAB 1 LAB 2 LAB 3 LAB 4

s

J. ± s 1

± X s

1 1 X X s 1

X X FREOUENCY MAG PHASE MAG PHASE MAG PHASE MAG PHASE

MHz DEC DEG DEG DEG

lUU 0 . 297 -28 0 . 296 -27 0 .296 -28 0 . 266 -29

•7 A A

z u u 0 .298 -56 0 . 305 - 54 0 . 298 - 56 0 . 329 -56

iUV 0 . 305 0 .313 - 7 S? 0 . 304 9 n 0 . 288 7 1 400 0 . 309 -101 0 . 320 -99 0 . 309 -101 0 .273 - 104

500 0 .313 -119 0 .322 -117 0 .312 -119 0 .319 - 118 Ann 0 u u 0 . 313 - 135 0 .324 - 133 0 .314 - 135 0 , 307 -141

7 n n / u u 0 .315 - 148 0 .326 - 147 0 . 314 - 148 0 . 292 - 154

Q n n

0 U U 0 .314 X U X 0 .324 - 1

t; Q 1 J J 0 .312 - 1 1 1 D X 0 . 322 1 D 0 900 0 .310 -173 0 .32 2 -171 0 . 310 -173 0 . 303 - 179

; 1000 0 . 312 174 0 .321 177 0 .312 173 0 .315 169

IIUU 0 . 318 162 0 .329 166 0 . 321 162 0 , 346 165

1 Z U U 0 . 333 153 0 .343 157 0 .336 154 0 . 360 149

1 7 n n iiU U 0 . 347 147 0 .354 150 0 . 346 147 0 . 363 146

14 U U 0 . 353 141 0 . 357 144 0 . 351 141 0 . 385 135

, 1500 0 .347 134 0 . 353 137 0 . 347 134 0 . 390 126

1600 0 . 342 125 0 .353 129 0 .347 125 0 .387 123

1700 0 . 349 116 0 . 366 121 0 . 359 116 0 ,398 117

1800 0 .369 110 0 .386 115 0 .378 110 0 .405 111

1900 0 . 390 106 0 . 399 112 0 .393 105 0 .396 110

2000 0 .398 102 0 .398 109 0 .399 102 0 .445 102

Laboratory 4 performed the entire calibration with the transistor fixture in place

but used a completely different approach to compensate for the lack of a 50-n termination for the transistor socket. Instead of the 50-fi termination called for in the

first two steps, Laboratory 4 connected the through line at the transistor socket.

This procedure relies on the 50-n termination at the output of the directional coupler

to provide the ref lectionless termination required. The transistor socket was left

open for the third calibration step and the calibration short was inserted in the

transistor socket for the fourth and fifth steps. Steps 6 and 7 were unnecessary be- cause of isolation provided by attenuators between the coaxial terminals and the transistor fixture. The final calibration step was performed using the through line in thi

transistor socket.

The entire calibration procedure used by Laboratory 4 was performed with the tran

sistor fixture in place using the calibration standards for the transistor socket whici were furnished with the equipment. In this respect it is the same as the procedure

employed when the 50-fi termination for the transistor socket is available. It is

quicker and easier than the procedure employed by laboratories 1, 2 and 3, which procedures require connecting and disconnecting the transistor fixture. The results obtained in the measurement of the transmission parameters, S2-|^ and s,^^' were in good

agreement with those obtained when the other methods of calibration were used, but the

results obtained in the measurement of the reflection parameters, s^^^ and ^22'

considerably different. In addition, the within- laboratory variability of the re- flection parameter measurements was two to eight times greater than the within- labor- ; atory variability of the measurements made after calibration by one of the other

methods

These differences are illustrated by the data in tables A5 through A8 in Appendix

2, which summarize the measurements of s^^^ and s made on R-C network 4 when all

participants used the same transistor fixture. All the s data are in good agreement

The mean values of s^^ obtained by Laboratories 1, 2 and 3 in most cases agree very

closely with each other, while the means obtained by Laboratories 4 and 5 are frequently different from each other and from the results obtained by the other three

laboratories. Furthermore, at most frequencies the within- laboratory standard deviation of the Laboratory 4 data was so high that Cochran's test for homogeneity of ; variance was not satisfied [4] .

I

8
Figure 4. Coaxial through line and attenuators.

Differences in transistor fixtures cannot account for these differences because

ach of the participants used the same transistor fixture for this measurement. Since

he results obtained by Laboratory 4 in measuring the 20-dB attenuator were in good

greement with the measurements made by the other laboratories (tables Al through A4)

,

he method of calibration used for measurements at the transistor socket is probably

he source of the discrepancy. To determine if the differences in calibration proedures contribute to the differences in reflection parameter measurements, the measIrements on the R-C networks were repeated on the NBS analyzer after calibration by the

'ethods of Laboratories 1, 2, 3 and 4 in turn. Lack of a 50-n termination prevented

tying the method of Laboratory 5.

The R-C networks were measured in 100-MHz increments over the frequency range from

(DO to 2000 MHz after each calibration. The magnitude and phase of s^^^ and S22 shown

pr R-C network 4 in tables 3 and 4 are typical of the results of these measurements,

gain, Sij data obtained by the methods of Laboratories 1, 2 and 3 agree more closely

Lth each other than with the data obtained after calibration by the method of Labortory 4

To simulate the results that might be expected if all participants calibrated by

Table ^ - Effect of Calibration Method on S21 Measurements

R-C NETWORK 4 DATA TAKEN ON NBS ANALYZER

AFTER IT WAS CALIBRATED BY METHOD OF:

LAB

s

tliel

FREQUENCY

MHZ

100

200

300

400

500

MAG

0 .690

0 .649

0.593

0 .537

0 .478

21PHASE

DEC

-14

-29

-41

-53

-63

LAB

s MAG

0.689

0.651

0.601

0 .545

0.483

21

PHASE

DEG

-15

-29

-41

-53

-64

LAB

s MAG

0.688

0 .645

0 .591

0.534

0.475

21PHASE

DEG

-15

-29

-41

-53

-63

LAB

s MAG

0.695

0.664

0 .591

0 .530

0.483

21

PHASE

DEG

-16

-28

-41

-53

-64

600

700

800

900

1000

1100

1200

1300

1400

1500

1600

1700

1800

1900

2000

0 .424

0 .374

0 .334

0 . 302

0 .270

0 .239

0.215

0 .192

0.174

0 .160

0 .146

0 .135

0.127

0 .120

0 .114

-72

-80

-87

-94

101

•107

113

•118

•124

•130

135

141

-146

-151

157

0.429

0 .377

0 .337

0 .301

0 .268

0 .240

0.214

0 . 190

0 .170

0 .153

0 .141

0 .131

0 .122

0 .115

0 .107

-74

-82

-89

-96

•103

•109

•115

•121

127

•133

•138

144

149

154

-160

0.422

0.372

0 .334

0.299

0.267

0 .237

0.212

0 .189

0.172

0.158

0 .144

0.133

0.125

0 .118

0 . 113

-72

-80

-87

-94

101

108

113

119

125

131

•137

•142

•148

•153

159

0.419

0 .374

0.330

0 . 302

0 .272

0 .239

0 .218

0.194

0.178

0.164

0 .147

0 .136

0 .127

0 .116

0.113

-73

-80

-88

-94

101

108

114

120

125

132

137

148

149

•154

•160
the same method when using the common transistor fixture, a second statistical com- parison of the original data was made using only the data from Laboratories 1, 2 and 3.' Tables A13 through A16, which summarize this data for R-C network 4, show that the vari

ability has been reduced from the corresponding values shown in tables A5 through A8 b> a factor ranging between 101 and 401 in Ijetween- laboratory standard deviation and between 301 and 80% in within - laboratory standard deviation.

The data obtained from the interlaboratory comparison also provided a means for

determining if any one of the calibration methods was significantly better than the

others in compensating for anomalies introduced by the transistor fixtures. Before

measuring the transistors, each participant measured the R-C networks in both the common transistor fixture and his own. In each case the same devices were measured on the same analyzer immediately after calibration of the system; the drift in calibratioij

should be minimal since the entire series of measurements on the three R-C networks re quired less than IS minutes. The two series of measurements differed in the following

respects : Different transistor fixtures were used, although both transistor

fixtures were of the same construction.

Different calibration standards, but of the same construction, were

used with the two transistor fixtures. Each participant used the common set of calibration standards to calibrate the common fixture,

but his own standards to calibrate his own fixture.

For each frequency and device, these data were grouped into pairs, one measuremen

made with the R-C network mounted in the common transistor fixture and the other made

with the device in the participant's fixture. A paired test [4] used to compare these

measurements indicated that none of the calibration methods completely compensated for

the effects introduced by the transistor fixture and that none had any advantage over

the others in this respect.

From these tests it was concluded that a significant improvement in measurement

precision could be obtained by specifying the calibration procedure to be used by the

round-robin participants. In selecting this procedure, consideration should be given

to the fact that most laboratories do not have a 50-fi termination for the transistor

socket. The calibration method of Laboratory 4 is simpler and faster than that used

by the other participants who lacked a SO-Q termination for the transistor socket, butfj

the precision of Laboratory 4 reflection-parameter measurements was poor.

km

. Jii 2.5 Results of Measurements

Analyses of some of the data taken by the five participants in the interlaboratoiiiffi

comparison who used automatic systems for the measurement of transistor scattering

parameters are tabulated in Appendix 2. These tables, which summarize the results of

measurements made on the 20-dB attenuator, R-C network 4, and three of the transistors

are representative of the measurements made on both transistors and passive devices,

and illustrate the variability found in the measurements.

Statistics similar to those shown in Appendix 2 were compiled for all measurementlijj]

To further condense these statistics, tables 5 and 6 show the mean, minimum and maximi.(|

variability of the S-parameter measurements made in the participant's transistor fixt

by the laboratories which used automatic equipment. Sample standard deviation is usee

as a measure of the variability of phase measurements. Sample standard deviation ex- pressed as a percentage of the overall mean to obtain relative standard deviation,

or coefficient of variation, is used as an indication of the variability of amplitude

measurements. The latter facilitates comparison of the variability of R-C network anc transistor measurements in which there are large differences in the magnitudes of the

corresponding S parameters

Note that the means listed in tables 5 and 6 are the means of the sample standarc

deviations [relative sample standard deviations in the case of amplitude measurements]

These were obtained by averaging the sample standard deviations of the measurements a^Jj

all the measurement frequencies . Signal frequency is thus included as one of the

variables which contribute to the dispersion of the measurements. As can be seen froi

the data in Appendix 2, the standard deviation of some of the S-parameter measurementiC^"

does tend to increase with frequency. The minimum and maximum values of standard deviation are also listed in the tables to indicate the extremes of variability encountf

ed in the measurements. The maximum value is the one quoted when a single number is

used to indicate overall variability. 'Whi

10
Table 5 - Summary of 51'^ values of the sample standard deviation

of the s-parameter measurements of three r-c networks at 17° frequencies

MEASUREMENTS MADE BY'

OF S-PARAMETER:

FIVE LABORATORIES

BETWEEN- LABORATORY

STANDARD DEVIATION

MAGNITUDE PHASE

THREE LABORATORIES

BETWEEN- LABORATORY WITHIN- LABORATORY

STANDARD DEVIATION STANDARD DEVIATION

MAGNITUDE PHASE MAGNITUDE PHASE

%^ DEG 1 DEG \° DEG

maximum 14 . 8 10 . 6 10 . 7 9 . 0 1 . 8 3 .

mean 6 .9 4

"2 3 7 3 !6 0 .8 0.3

minimum L . C 1 1 u . 1 0 .1 U . ^ u . Z maximum 9 .6 4 6 10 2 3 5 2 .8 2.0 mean 2 .3 1 8 2 6 1 7 0 .7 0.8

minimum 0 .4 0 4 0 3 0 4 0 2 0.2

maximum 10 .6 4 2 11 6 3 3 2 3 1.8 mean 2 .3 1 6 2 6 1 6 0 8 0.8

minimum 0 .3 0 5 0 1 0 5 0 3 0.2

maximum 10 .2 7 6 5 9 6 1 1 6 2,0 mean 5 .0 4 1 2 8 3 2 0 7 0.8

minimum 2 .2 1 8 0 5 0 2 0 3 0.2

Data for three laboratories are a summary o£ 48 measurements at 16 frequencies

> All measurements made in participant's transistor fixture

Relative sample standard deviation is listed for measurements of magnitude

Table 5 summarizes the variability of the S-parameter measurements made on all the

uti|.-C networks by the laboratories which used automatic test equipment. Each of the five

aboratories made four measurements on each of the networks at each frequency. These

our measurements were averaged to obtain a mean for the laboratory, and these means

ere compared with those of the other laboratories to determine the between-laboratory

ample standard deviation at each measurement frequency. In general this resulted in

different sample standard deviation for each of the 17 measurement frequencies from

ot|i|00 to 1800 MHz --a total of 51 values for the three networks. Table 5 indicates the

ange of this variability by recording the highest, lowest and mean values of these

)fl|l standard deviations

The first two columns of table 5 summarize the between-laboratory variability of

he measurements made by all five laboratories. The third and fourth columns record

limilar data for laboratories 1, 2 and 3, which laboratories differed least in their

ent|t|alibration procedures. These data simulate the results that would be obtained if all

iWaboratories had used the same procedure in calibrating with the transistor fixture,

xtuhey are a summary of 48 values of standard deviation rather than 51 because the 200-

isetez data were discarded to provide a comparison with the transistor statistics for the

ix- ^me three laboratories.

The final two columns of table 5 summarize the within- laboratory variability of

an^he measurements made by Laboratories 1, 2 and 3. The within- laboratory sample standd deviation is a measure of the dispersion of the four measurements made by each of

|Iie laboratories about the mean for that laboratory. The values obtained by each of

iie laboratories at each frequency were pooled to obtain a single sample standard delation for each of the devices at each of the measurement frequencies. Table 5 Records the largest, smallest and mean values of these 48 pooled values. These data

aow that the laboratories are capable of repeating their measurements within a maximum

tlative sample standard deviation of 3% in the measurement of magnitude and within a

fiotHximum sample standard deviation of 2 deg in the measurement of phase, except for the

e!it|iase of s^^^ for which the sample standard deviations are within 4 deg.

j The first two columns of table 6 summarize the variability of the 102 measurements

ide on the six 2N3960 transistors at an emitter current of 2.5 mA. In addition, the

friability of h^^ and h^^ values calculated from the S-parameter measurements made by

Ich of the participants is listed. The 2N3960s were picked for this comparison beij 11
Table 6 - Summary of 102 values of the between-laboratory sample standard deviation

OF MEASUREMENTS MADE ON TRANSISTOR TYPE 2N3960 AT AN EMITTER CURRENT OF 2.5 mA

a MEASUREMENTS MADE BY : FIVE LABORATORIES THREE LABORATORIES

STANDARD

OF S P. DEVIATION

RAMETER MAGNITUDE PHASE MAGNITUDE PHASE

\ u

\ DEG « D

& DEG

maximum 45 .9 34 . 2 7 . 5

QO » u me an 12 6 8 . 8 4 .5 1X

DO minimum 3 5 0

'.1 0 .6 0 1 maximum 9 .9 3 . 3 5 .4 1 7 mean 2 9 1 . 1 2 .7 n 7 minimum 0 9 0 . 2 0 ,7 nu maximum 5 2 1 .7 6 .6 2 2 me an 2 4 0 .9 3 .0 0 9 minimum 0 9 0 . 2 0 .2 0 1 maximum 8 9 3 .1 4 .8 3 5 mean 4 4 2 .0 2 .8 2 0 minimum 1 6 0 .7 0 .8 0 5 maximum 8 6 5 .0 7 .0 3 0 mean 3 4 1 .6 2 .2 1 1 minimum 0 8 0 .4 0 .2 0 2 maximum 23.1 12.0 2.6 3.0

h. mean 5.2 3.1 1.0 1.6

minimum 1.1 0.5 0.0 0.3

a All measurements made in participant's transistor fixture

h Relative sample standard deviation is listed for measurements of magnitude

cause they were measured over the same frequency range as the R-C networks and becaus

all six transistors were measured by all participants. These data are typical of tha

obtained at other biases and from the measurement of the other transistor groups

(tables A23 and A24, Appendix 2).

The variability of the transistor S-parameter data compares favorably with that

the R-C networks except for measurements of s^^^. It is also noticeable that, in most

cases, transistor phase measurements are less variable than the phase measurements on the R-C networks. A possible explanation for the latter is the diffuse nature of the

resistive and capacitive elements in the transistor. These may have less effect on phase measurements than the lumped elements of the R-C networks when the location of

the reference plane varies by a small amount as it may because of differences in the

measurement systems, the calibration standards, or the seating of the device under te

in the transistor socket.

The variability of the s^^^ measurements is mainly the result of differences in

calibration procedures employed when using the transistor fixture. In addition, the!

variability of transistor s^^^^ and s ^-^ measurements was affected by the signal level

used by Laboratory 3, which exceeded requirements for small-signal conditions. This

resulted in overdriving the transistor under test when the signal was applied to the

base of the transistor for the measurement of s^^ and ^2\- effect was most noti-c' able at the lower measurement frequencies where transistor beta is highest. The ovei

drive had a negligible effect on measurements of ^-^2 ^22' ^^^^^ made with the

drive applied to the collector of the transistor, and had no effect on the measuremei'

of any of the S parameters of the R-C networks.

Since the calibration procedures used by Laboratories 1, 2 and 3 were nearly id(

tical, their data were analyzed to estimate the improvement that might be realized i: differences in calibration procedures were eliminated. The 200-MHz measurements wer*

discarded from these data to eliminate the frequency at which the effects of the ove:

12
drive were most severe. These data, listed in the final two columns of table 6, show a general improvement

in the variability of the transistor S-parameters and considerable reduction in the

variability of s.^-^ measurements. Based on these results it is estimated that betweenlaboratory variability of s^j measurements could be held to a maximum relative sample

standard deviation of 7.5% in the measurement of magnitude and a maximum sample standard deviation of 8 deg in the measurement of phase, and that the variability of the

other S-parameter measurements could be reduced to a relative sample standard deviation

of 6.5% in the measurement of magnitude and a maximum sample standard deviation of 3.5

deg in the measurement of phase. This would require that the calibration procedure

for use with the transistor fixture be agreed upon and that a maximum signal to the

transistor under test be specified.

Since the variabilities of the transistor and R-C network measurements are com- parable under these conditions, it is probable that closer control of transistor test

conditions such as bias and temperature would not by itself significantly improve the

precision of the transistor measurements.

2.6 Conclusions

The following conclusions are based on the results of measurements made on automatic measurement systems. A similar assessment of the variability of measurements

made manually was not feasible because of the time that would have been required for

a set of replicate measurements using manual equipment. The S-parameter measurements

made manually by one of the laboratories, although more limited in scope, were in good

agreement with those reported here for the automatic systems.

The results of the interlaboratory comparison of transistor scattering parameter

measurements can be summarized as follows:

1. In general, scattering parameter measurements made by the participants in the interlaboratory comparison were in good agreement except for the measurement of s^^.

The relative sample standard deviation of measurements of the magnitude of ^21'

s^2 ^22 °^ less, and the sample standard deviation of phase measurements did not exceed 3.5 deg. In the measurement of s^^, relative sample standard

deviations as high as 461 were recorded in the measurement of magnitude and sample

standard deviations as large as 34 deg occurred in the measurement of phase.

2. The variability was aggravated by the differences in calibration procedures used by

the participants and by an excessively high test signal level used by one of the

laboratories. The former affected measurements of s,, and the latter measurements

of both s^-^ and . 3. If differences in calibration procedures and signal levels were eliminated, it is

estimated that the between- laboratory variability of s^^^ measurements could be rei duced to a maximum relative sample standard deviation of 7.5% in the measurement

of magnitude and a maximum sample standard deviation of 8 deg in the measurement

of phase. The variability of all other S-parameter measurements could be reduced

to a maximum relative sample standard deviation of 6.5% in the measurement of

magnitude and a maximum sample standard deviation of 3.5 deg in the measurement of

phase

Measurements made on the R-C networks under the same conditions as the transistor

measurements (except that no bias was required) indicate that the laboratories are capable of repeating their measurements within a relative standard deviation of

better than 3% in the measurement of S-parameter magnitude and a standard deviation of less than 4 deg in the measurement of s^^ phase and 2 deg in the measurement of the phase of the other S parameters

Since the variabilities of the transistor and R-C network measurements are so nearly alike, it is not probable that more accurate setting of transistor biases

or better control of case temperature, by itself, would increase precision significantly . Better agreement among laboratories would be obtained if the calibration procedure

to be used with the transistor fixture were agreed upon in advance. The calibration procedure chosen should not depend on the use of a 50-fi termination at the

transistor socket, unless a 50-fi termination is known to be available to the

participating laboratories. The maximum signal applied to the transistor under

test should also be limited to a level that will assure small-signal operation.

13
3. ELECTRICAL CHARACTERIZATION OF TRANSISTOR PROBE ASSEMBLIES

3.1 Background

Probe assemblies for making contact with transistor contact pads embedded in integrated circuit wafers were described in the previous report and are illustrated in

figure 5. These were designed to measure the S parameters at ultra-high frequencies

of individual integrated-circuit transistors at the wafer stage of assembly. The

mechanical characterization of the probe assemblies, the steps preparatory to determination of the equivalent electrical circuit, and the probe reference units required

for this determination were all described in the previous report [1]. The final task,

that of electrically characterizing the probe assemblies, is reported here.

The characteristics of the probes must be separated from the measured S parameters of a device to determine the intrinsic characteristics of the device when it is

connected to the measurement system by means of the probe assembly. This can be done

if the S parameters of the probe assembly are known. These can be determined by

making measurements at the input ports of the probes with the probe tips in contact

with elements having known impedance values . The probe reference units chosen for

this purpose permitted termination of the assemblies in an open circuit, a short

circuit, and a known resistance.

3.2 Measurements and Results

A probe assembly with adaptors for connection to the 7-mm precision coaxial con- nectors at the output ports of the network analyzer can be represented as two sections

of transmission line as shown in figure 6. The problem is to evaluate the probe assem- bly by measurements at ports A and B when known impedances are connected to ports C and D. The probe assemblies were of two different configurations, three with the

center probe grounded and three with one of the end probes grounded. Different probe

reference units were used for testing the two types, but electrically the methods were

identical. Stray coupling between the ungrounded conductors of ports C and D was shown to be negligible and does not affect the results.

Initially, it was planned to determine the probe - as semb ly characteristics at three

or four discrete frequencies by bridge and slotted-line techniques. Once the probe

assemblies were received and one was set up in the slotted-line measurement system,

however, it became very apparent that this would be a difficult and time-consuming task.

It was also seen that measurements at more than three or four frequencies would be re- quired to analyze and characterize the probe assemblies properly. Therefore, it was decided to use the automatic network analyzer to measure the S parameters of the probe

assemblies

It would have been desirable to establish a reference plane for these measurements

at the input connectors of the probes. Since the miniature coaxial connectors used for.

Figure 5. Special probe assembly.

Drawing is not to scale. The probe tips are in line on 0.003-in. (O.OS-mm)

centers, the diameter of the hole in the sapphire plate is 0.1 in. (2.5 mm),

and the miniature coaxial connectors are on 0.6-in. (1.5 cm) centers.

14
vVWV

Vb

PORT

A

PORT

C

PORT

D

VSAAA^

'7 a PORT

B

Figure 6. Schematic diagram of probe assembly.

|iis purpose do not have a well-defined reference plane and suitable reference standards

bre not available for them, an adaptor from miniature to 7-mm connector was used. The

jference plane used for all measurements was established by a short-circuit termination

the 7-mm connector. The loads connected to the probe tips were those designated

3 lP,3) in the first quadrant of probe reference unit wafer number 6.

The probe assemblies were connected to the network analyzer and the S parameters

jasured in 0.1-GHz increments from 0.2 to 2 GHz with the probe tips in contact with a lort circuit, an open circuit, and a resistance, in turn (Fig. 7). From the measured

parameters, the input admittances at ports A and B of the probes were determined for

iree different loads at the probe tips, ports C and D. This provided the three equaLons necessary to determine the three unknown admittances in the equivalent circuit of

ich of the probes

When the probes are terminated by the short-open load configuration with short at

)rt C (Fig. 7a), the input admittance at port A, Y

As

is given by

As ^a " ^b

The probe reference units are described in Reference 1.

Short-open termination;

short circuit at port C. wwvVu

c

-o 0

oO-f-OWWV

b. Short-open termination;

open circuit at port C.

VSAAAr

Vu

C

-o D

o- VsAAAr

'y \

c. Resistor-short termination;

resistor connected to port C. A >V

t'igure 7. Circuits used for determination of admittances of the probe assemblies

15
When the load is reversed, shorting port D and leaving port C open (Fig. 7b), the

input admittance at port A, , is

'Ao

= y.

When the probes are terminated by the resistor-short load with resistor at port C (Fig. 7c), the input admittance at port A, , is

Ar

^b ^^c ^ ^L^

"

>^c "

Similarly, when port D is successively terminated in a short, an open, and a resistance, using the same load configurations but reversed, the admittances at port B are

Bs ya " yt

Bo

Br

y& yy

y + !

^ , ^^ ' yQ

y' yr

Y L The values of these six admittances were then used to solve for the components c the equivalent network, y^, y^ , y^, y^, y^ and y^ , where

^As - ^b

^b

(Y As ^Ao^ (^As - ^Ar)

(Y Ar ^Ao^

^c

=. f^As

f^Ar

- ^Ar)

- ^Ao^

= ^Bs

- y^

yi - yh

(Y Bs ^Bo^ ^^Bs ^Br^

(Y Br

(YBs Br-

(YBr ^Bo^

^Bo^

y^

The S parameters of the probes were calculated from the admittances of the

equivalent circuit. Typical values are plotted in polar form with a logarithmic

radial scale in figure 8. In figure 8a, S22 arid °f ^ typical center-ground

probe assembly are shown, and in figure 8b, s 11 and Sj2 of ^ typical end-ground

probe assembly are plotted. A resonance in the vicinity of 1.2 GHz, which was observed on the monitor oscilloscope during measurements on all of the probe assem- blies, results in abrupt changes in the S-parameter values over a 0.2-GHz interval

in the 1.0- to 1.5-GHz frequency range. Within the range which is shown by dashed

lines in figure 8, a more detailed plot of the probe characteristics could have bee

obtained by decreasing the frequency interval at which measurements were made, but

this would not have improved the measurement capabilities of the probes within abou

±0.1 GHz of the resonant frequency because of the very rapid change of S-parameter

magnitude and phase with frequency in this region.

16

For measurements at other frequencies, the intrinsic parameters of the measured

device can be determined by multiplying the scattering matrix of the measured S param

eters by the inverse of the scattering matrix of the probe [5]. If measurements are not made in a SO-n system, the difference in impedances must be taken into consider--

ation

3.3 Conclusions

While the objective to evaluate the probe assemblies in terms of their S parameters was achieved, it is apparent that resonances in the probe assemblies limit their

usefulness for measurements in the vicinity of 1.2 GHz. The theoretical groundwork

has been laid, however, for the development of a very accurate probe capability. Work

4 is underway at the NBS Boulder laboratories to further refine these techniques to obtain a more accurate model of the probe assembly, to determine design changes needed

to eliminate resonances over the frequency range of interest, and to determine the

limit of accuracy of the high-frequency probe technique. This later work has shown

that there is a parasitic element in the ground probe lead, requiring mo.dif ication of

the schematic representation of figure 6 to include an additional element common to the ground leads of both ports C and D. By methods similar to those described here,

the value of this parasitic element can be determined by measurements at ports A and B with suitable loads connected to ports C and D.

4 . ACKNOWLEDGEMENTS

The R-C networks and probe reference units used in the transistor S-parameter and

high-frequency probe measurements were fabricated by T. F. Leedy. The authors also

wish to acknowledge the work of F. H. Brewer, V. L. Boxwell and M. J. Wirtz in the

reduction of data obtained in the interlaboratory comparison, of L. R. Williams in the

preparation of illustrations, and of A. D. Glover in the preparation of manuscript for

this report

4 AFWL Project Order PO-74-144, AC Probe Characterization.

18
APPENDIX 1

Plan for an interlaboratory comparison of transistor

SCATTERING-PARAMETER MEASUREMENTS

October 29, 1972

Purpose :

To assess the variability of the S-parameter measurement systems as used by the

participants

The method employed is to measure selected transistors on each of the S-parameter

measurement systems and to compare the results obtained. As a check against possible

changes in the transistor parameters and variability introduced by auxiliary systems

such as transistor fixtures and bias supplies, a coaxial attenuator and passive networks will be included in the measurements. For each device, both magnitude and phase

o£ s^^, ^21' ^12' ^ '' '' ^'''^^'^ ^® measured as a function of frequency. Each of the

passive elements will be measured more than once on each system to obtain a measure of

the variability of the individual systems.

Conditions being studied:

1. Differences in the results obtained from the S-parameter test sets when

measuring the same device, including effects of the operator and the associated

fixtures and bias supply systems

2. Differences introduced by transistor fixtures.

3. The effect of transistor bias on the measurements. The measurements are re- latively insensitive to changes in V^-.^ , but are very sensitive to changes in

emitter current, especially at the lower values of emitter current. Five percent accuracy in the measurement of V^^g and 1 percent accuracy in the measurement of emitter current would be desirable. These accuracies are not specified

for the round robin, however, because the intent is to measure the transistors

by the procedure normally used by the participants. Measurement of the passive

networks will provide a measure of the variability of the S-parameter measurement systems which is independent of bias levels. The tests may disclose that more accurate control of bias levels is required for repeatable transistor

measurements . Conditions not being studied:

1. The transistors, except to the extent necessary to be sure that their

characteristics haven't changed during the round robin. NBS will record the

characteristics of each transistor before the testing begins and will periodically check transistor performance against these characteristics.

2. The effect of transistor case temperature on the measurements. The sensitivity

of the measurements to temperature changes is low enough to make special provisions for the control of transistor case temperature unnecessary at the power

levels used in these tests provided the laboratory temperature is within the

range 68° to 77°¥ [20° to 25°C).

Devices to be tested:

The following devices will be circulated for test to each of the participants (all

Iparticipants will test the same devices) :

a. Two coaxial attenuators with a length of semi-rigid coax for connecting them

; in series to the test set.

I b. A transistor fixture to adapt the S-parameter test set for the measurement of

transistors in TO-18 and TO-72 packages.

c. Three RC networks mounted on transistor TO-72 headers.

d. Six transistors of each of the following types: 2N709, 2N918, and 2N3960.

19
APPENDIX

Test Procedure

1. Record the manufacturer, model number and serial number of the equipment used

in making the measurements.

2. Record the method of reducing the RF drive to the transistor under test if one

is used.

3. Record the method of setting the transistor bias levels, their accuracy, and

indicate how the accuracy is verified.

Measurements

The transistors to be tested have been divided into two groups, A and B, each group

comprising three transistors of each type. These are to be tested along with the

passive elements as follows:

1. Record the laboratory ambient temperature.

2. Calibrate the S-parameter measurement system without the transistor fixture at frequencies between 200 MHz and 2 GHz in increments of 100 MHz and record the

procedure used. Use the coaxial link furnished by NBS as the through line,

connecting it so that the terminal marked A is connected to the A port of the

S-parameter test set and the terminal marked B is connected to the B port. The

electrical length of this link is 46.525 cm. After calibration, change the

transmission linearization to 46.525 cm.

3. Connect the 10-dB attenuators to the output ports of the test set, with the end

marked A connected to the A port and the end marked B to the B port. Connect

the attenuators in series by means of the coaxial link, again connecting it so that the terminal marked A connects to the attenuator connected to the A port

and the terminal marked B connects to the attenuator connected to the B port.

Measure and record the S-parameters at frequencies between 200 MHz and 2 GHz in

100-MHz increments.

4. Using the calibration standards (THRU LINE and SHORT) provided by NBS where

applicable, calibrate the S-parameter measurement system with the NBS transistor fixture connected to the output ports at frequencies between 200 MHz

and 2 GHz in 100-MHz increments, and record the procedure used.

5. Measure and record the S-parameters of the RC networks at frequencies between

200 MHz and 2 GHz in 100-MHz increments using the common-base configuration

on the NBS transistor fixture.

6. Connect the participant's transistor fixture to the output ports of the

S-parameter system and calibrate the system using the participant's calibration

standards at frequencies between 200 MHz and 2 GHz in 100-MHz increm.ents .

7. Connect each of the devices in turn to the participant's transistor fixture

and measure and record the S-parameter of the device.

a. Measure the RC networks in the common-base configuration at frequencies

between 200 MHz and 2 GHz in 100-MHz increments.

b. Measure the transistors of Group A in the common-emitter configuration

under the following conditions:

Type Vrv It. FREQUENCY (MHz)

, E., START STOP INCREMENT

(Volts) (mA)

2N709 5 1 6, 2 0 , 2 5 , 4.0, S 0, i3.0, 10 0 200 1000 100

2N918 5 1 6, 2 0, 2 4 . 0 5 0 i3.0 10 0 200 1000 100

2N3960 5 1 .6 , 2 .0, 2 5, 4.0 5 0 B .0 10 0 200 1800 100

Repeat the measurements on the RC networks in the com.mon-base configuration

at frequencies between 200 MHz and 1800 MHz in 100-MHz increments.

20
APPENDIX

8. Recalibrate the system with the NBS transistor fixture connected to the output

ports (using the same calibration procedure as in 4} and remeasure and record

the S-parameters of the RC networks in the common-base configuration at frequencies between 200 MHz and 2 GHz in increments of 100 MHz.

9. Recalibrate the system without the transistor fixture (using the same calibration procedure as in 2) and remeasure and record the S-parameters of the

10-dB attenuators connected in series at frequencies between 200 MHz and

2 GHz in 100-MHz increments.

10, Record the laboratory ambient temperature.

11. On a different day, repeat the measurements outlined in 1 thru 10, but use the

transistors of Group B in step 7, b.

ta to be furnished to NBS:

I 1. The manufacturer, model number and serial number of the equipment used for the

measurements

2. The step-by-step procedure used in calibrating the S-parameter measurement

,

I system. If the manufacturer's procedure is followed, a statement to this effect

! with a reference to the document (including date or edition) and page where the

1, procedure is found is sufficient. Be sure to record any deviations from the

I' stated procedure.

I 3. The step-by-step procedure used in calibrating the system when the transistor

1' fixture is added. If the manufacturer's procedure is followed, a statement to

j this effect with a reference to the document (including date or edition) and

page where the procedure is found is sufficient. Be sure to record any det viations from the stated procedure.

n

I 4. The method of reducing the RF drive to the transistor under test if one is used.

5. The method of setting the bias levels, the accuracy of these levels, and the

method of verifying the accuracy.

6. A tabulation of S-parameters versus frequency for each of the devices. To re- duce the time required for processing the data at NBS and to minimize errors,

we would prefer to receive the data punched on teletype tape if this is possible;

if this would entail extra work on the part of the participants, a data printout

is acceptable. Each set of data should be identified with the name of the device tested (if a transistor include both the type number and the letter

identifying the sample) and the conditions of test. This information should

be written on the tape ahead of the data. Leave a gap of 3 or 4 inches on the

jn|jj tape between sets of data.

The beginning of each tape must be visibly marked to identify the participant

I and the contents of the tape. This can be done by marking the tape with the

Ij identity of the participant and listing the contents of the tape, for example,

t| NBS, passive devices, first set, first day; NBS, Group A, 2N709; etc. An

alternate method would be to mark the tape with the identity of the participant

and an identifying letter or number and provide the legend on a separate sheet.

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APPENDIX 2 Statistical summary of representative S-parameter measurements

The following are representative analyses of the data taken during the interlaboratory comparison using automatic measuring equipment. Included are a summary

of the measurements of s-j^^^ and S2-^ for the 20-dB attenuator and R-C network 4, and a summary of all the S parameters of transistors 2N3960(f), 2N709(g) and 2N918(a) at an emitter current of 2.5 mA. The summaries are representative of those made on the other

passive devices and transistors under similar conditions. Since the passive devices

are symmetrical, the summaries are also typical of S22 ^nd s^2 data for these devices.

Measurements made manually were in reasonable agreement with those made on the

automatic systems.

The 20-dB attenuator data are summarized in tables Al through A4 .. Measurements

on R-C network 4 made in the common transistor fixture are summarized in tables A5

through A8 , and those made in the participants' transistor fixtures in tables A9

through A12. In addition, the measurements on R-C network 4 by the three laboratories

which used nearly identical calibration procedures are analyzed for the common transistor fixture in tables A13 through A16 , and for the participants' transistor fixtures

in tables A17 through A20.

Each participant measured the transistors in his own transistor fixture. Data on transistor 2N3960(f) at an emitter current of 2.5 mA are analyzed for both five and

three laboratories in tables A21 and A22, respectively, and data on transistors 2N709(g)

and 2N918(a) are given in tables A23 and A24.

In tables Al through A20, which summarize the measurements on passive devices,

the upper table lists the means of the four measurements made by each laboratory at

;each frequency in the columns headed MEAN OF 4 MEASUREMENTS. In the columns headed

BETWEEN- LABORATORY , the means obtained by averaging the laboratory means are given in

the column headed MEAN, and the standard deviation of the laboratory means about this

overall mean are given in the column headed STD DEV. In addition, in the tables which

' describe the measurements of S-parameter magnitude (odd-numbered tables) , the relative

I. standard deviation, or percent coefficient of variation, is given in the column headed

; PCT C.V.

In these first 20 tables, the lower table shows the standard deviation of the

I four measurements made by each laboratory about the mean for that laboratory in the

i columns headed WITHIN- LABORATORY , the pooled value for all the within- laboratory

standard deviations in the column headed STD DEV, and the relative standard deviation

in the column headed PCT C.V. if the table is one which describes the variability of

S-parameter magnitude.

The pooled standard deviation is listed only when the individual laboratory

variances [squares of the standard deviations) are sufficiently similar to be considjered homogeneous as determined by Cochran's test [4]. This test is designed to deterImine if one of the variances is sufficiently larger than the rest to invalidate an analysis of variance. For 5 sets of 4 measurements each, the largest variance must be

equal to or less than 0.6329 times the sum of all the variances to satisfy Cochran's

{test at the 1 percent level of significance. For four laboratories the critical value

lis 0.7212, and for three laboratories it is 0.8335.

In tables A21 through A24, which summarize the results of transistor measureiments , the S-parameters shown in the upper table are the means obtained by averaging

ithe measurements made by all the laboratories; the corresponding between- laboratory

isample standard deviations are listed in the lower table. Relative standard deviation

''is used to describe the variability of the measurements of S-parameter magnitude, and

standard deviation is used to describe the variability of phase measurements.

23
APPENDIX

T/sELE A]. Summary of Sh magnitude measurements

MADE BY FCUP^ LABORATORIES ON 20-dB ATTENUATOR,

MEANS

FREQUENCY* MEAN OF 4 MEASUREMENTS * BETWEE N- LA BORA TORY

MHZ * LAB 2 LAB 3 LAB 4 LAB 5 * MEAN STO DEV PCT C.V.

200. .009 . 008 .009 . Oil .0092 . 0012 12.68

300. .008 .008 .009 .010 .0088 . 0012 14. 19

400. .006 . 008 . 008 .010 .0082 .0015 17.87

500. .006 .007 .007 .009 .0075 . 0015 19.63

600. .008 .009 .009 .011 .0092 .0014 14. 80

700. .009 . 008 . 009 .011 .0091 . 0011 12. 15 800. .007 .007 .007 .009 .0076 . 0010 13.33

900. .011 .010 .011 .013 .0113 . 0010 8.72

1000. .011 .010 .010 .012 . 0109 . 0011 9.76

1100. .008 . 008 . 008 . 010 .0085 . 0009 10.47

1200. .010 .010 .011 .012 .0109 . 0011 9. 76

1300. .011 . 009 .010 .011 .0102 . 0008 8.11

1400. .009 .008 .009 .010 . 0090 . 0006 7. 17 1500. .010 .009 .010 .011 .0101 .0008 7.68

1600. .011 . 007 . 008 . 008 .0088 . 0015 17.24

1700. .011 .009 .010 .010 .0100 . 0005 5.40

1800. .011 . 008 .009 .010 .0095 . 0012 12.34

1900. .009 .007 .007 .008 . 0080 . 0008 10.52

2000. .012 .011 .012 .011 .0119 .0004 3.65

STANDARD DEVIATION

FREQUENCY* WITHIN-LABORATORY * ALL LABS POOLED^

MHZ * LAB 2 LAB 3 LAB 4 LAB 5 * STO DEV PCT C. 200. .0013 .0006 .0005 .0000 **** * 7.96

300. .0005 . 0012 . 0005 . 0006 .0007 8 .41

400. .0006 .0010 . 0010 . 0000 .0007 9.16

500. .0014 .0012 .0010 .0006 .001 1 14.40

600. .0015 .0010 .0010 .0000 .0010 11.03

700. .0005 .0005 . 0005 . 0005 .0005 5.48

800. .0008 .0010 .0010 .0000 .0008 10.63

900. .0008 . 0006 .0014 .0005 .0009 7.97

1000. .0017 . 0010 . 0010 .0005 .001 1 10.31

1100. .0014 .0010 .0010 .0005 .0010 12.01

1200. .0010 . 0005 . 0013 .0006 .0009 8.03

1300. .0005 .0005 . 0013 .0000 **** * 7.08

1400. . 0005 .0005 .0013 .0005 .0008 8.49

1500. .0024 . U005 .0013 .0008 .0014 14.11

1600. .0014 .0006 .0015 . 0006 .001 1 12.58

1700. .0015 . 0006 . 0014 . 0005 .001 1 10.99

1800. .0008 .0005 .0014 .0005 .0009 9.37

1900. .0019 .0006 .001 7 .0005 .001 3 16.73

2000. .0005 .0006 . 0015 . 0006 . 0009 7.49

a Laboratory 1 data were discarded. There were large discrepancies in

the phase measurements made by Laboratory 1 because two different

methods were used to compensate for the length of coaxial line which

connected the two 10-dB attenuators,

b Pooled values of within- laboratory standard deviation are given only

when the laboratory variances satisfy Cochran's test for homogeneity

of variance at the 1 percent level of significance; i.e., when the

largest variance is less than or equal to 0.7212 times the sum of the

variances

24
APPENDIX

Table A2. Summary of phase measurements

MADE BY FOUR^ LABORATORIES ON 20-dB ATTENUATOR,

MEANS - DEGREES

FREQUENCY* MEAN OF 4 MEASUREMENTS * BETWEEN- LABORATORY

MHZ * LAB 2 LAB 3 LAB 4 LAB 5 * MEAN STD DEV

200. 155 .9 160. 2 160. 9 161. 9 159.74 2 .66

300. 145 .6 153.6 154. 0 155. 6 152.22 4 .47

400. 127 . 6 143.9 143. 8 147. 0 140.58 8 .80

500. 122 .4 142.5 141. 9 145. 4 133. 05 10 .54

600. 132 .6 138 .8 138. 5 141. 1 137.76 3 .63

700. 107 .6 119. 0 119. 4 122. 4 117.13 6 .52

800. 114 .3 128. 1 125. 7 128. 1 124.04 6 .57

900. 104 . 0 118.7 117. 4 121. 1 115.30 7 .69

1000. 72 .7 92-2 91. 4 95. 4 87. 92 10 .28

1100. 71 .2 93.7 94. 6 96. 0 88.89 11 .83

1200. 68 . 5 85. 5 84. 5 93. 9 83. 10 10 .63

1300. 51 .9 64. 1 63. 4 70. 0 62.37 7 .57

1400. 48 .4 65.4 63. 5 73. 4 62.69 10 .46

1500. 38 .3 52.4 52. 4 63. 8 51.73 10 .41

1600. 24 .9 49. 1 45. 8 60. 7 45.11 14 .93

1700. 26 .7 47.9 44. 1 54. 0 43. 19 11 .73

1800. 3 . 3 26.6 24. 0 39. 3 23.31 14 .94

1900. 14 .5 44.7 37. 8 50. 7 36.92 15 .86

2000. 13 .0 29.3 25. 7 43. 5 27.87 12 .57

STANDARD DEVIATION - DEGREES

FREQUENCY* WITHIN-LABORATORY *ALL LABS ^ MHZ * LAB 2 LAB 3 LAB 4 LAB 5 * POOLED

200. 11.48 2. 15 .49 2.14 ** ** 300. 10. 14 2. 88 .74 4.21   400. 7.54 3. 36 .72 2.22 **  ** 500. 12.15 3. 63 .48 .97   600. 11.06 3. 60 . 26 1.13 **  ** 700. 6.79 4. 42 1.03 1.79 4. 18 800. 5. 50 4. 26 .99 2.87 3. 80

900. 2.31 3. 30 .22 1.23 2. 11 1000. 7.40 5. 40 1.89 1.54 4. 74

1100. 11. 91 6. 13 1.54 5-30 7. 24

1200. 1 1.45 5. 52 1.89 2-05 ****

1300. 8.77 6. 39 3. 74 3.95 6. 07

1400. 6.92 7. 9 1 4-09 3.97 5. 98

1500. 6. 08 7. 85 5. 00 2.91 5. 74 1600. 8. 11 9. 28 5-97 7.92 7. 91 1700. 3.94 8. 09 4.73 3.27 5. 34

1800. 7.04 9. 00 8.62 3.25 7. 34

1900. 6.92 9. 15 5.88 1.54 6. 49

2000. 7.43 6. 77 4. 74 5.31 6. 16

Laboratory 1 data were discarded. There were large discrepancies m

the phase measurements made by Laboratory 1 because two different

methods were used to compensate for the length of coaxial line which

connected the two 10-dB attenuators.

Pooled values of within- laboratory standard deviation are given only

when the laboratory variances satisfy Cochran's test for homogeneity

of variance at the 1 percent level of significance; i.e , when the

largest variance is less than or equal to 0.7212 tim.es the sum of the

variances

25
APPENDIX

Table A3. SuMf^ARY of S21 i^agnitude measurements

MADE BY FOUR^ LABORATORIES ON 20-dP ATTENUATOR.

MEANS

FREQUENCY* MEAN OF 4 MEASUREMENTS * BETWEEN-LABORATORY

MHZ * LAB 2 LAB 3 LAB 4 LAB 5 * MEAN STD DEV PCT C.V.

200. . 103 . 104 .103 . 104 .1034 . 0003 . 32

3 00. .103 . 103 .103 .104 .1034 . 0005 . 44

400. .103 .103 . 103 . 104 .1034 . 0004 . 37

500. .103 . 102 . 103 .103 .1028 . 0004 . 38

600. .102 . 103 .102 . 104 . 1026 . 0008 . 79

700. .103 . 103 .103 .103 .1029 . 0003 . 33

800. .103 . 102 . 103 . 103 .1027 . 00 03 .28

900 . . 101 . 102 .102 .103 .1022 . 0005 . 52 1000. . 104 . 102 .102 .102 .1025 . 00 10 .99

1100. . 104 . 102 .101 .102 .1022 . 0010 . 94

1200. .102 . 102 .101 .102 .1021 . 0004 .42

1300. .102 .102 . 102 . 102 .1020 . 0002 .24

1400. . 103 . 102 . 102 . 102 .1022 . 0007 . 67

1500. . 103 . 102 .102 - 103 .1024 . 0004 . 42

1600. .104 . 103 .102 .103 .1031 . 00 09 .91

1700. .102 . 102 .102 .103 .1025 . 0004 . 39

1800. .103 . 102 . 101 . 103 .1 023 . 0009 .83

1900- . 104 . 102 . 101 . 103 . 1024 .0011 1. 12 2000. .103 . 101 . 102 .102 .1019 . 0006 . 57

FREQUENCY* w MHZ * LAB 2 200. .0009

300. .0008

400. .0010

500. .0016

600. .0014

700. .0010

800. .0002

900. .0004

1000. .0008

1100. .0020

1200. .0019

1300. .0008

1400. .0013

1500. .0017

1600. .0011

1700. .0007

1800. .0012

1900. .00 17 2000. .0017

STANDARD DEVIATION

l-LABORATORY

LAB 3 LAB 4 LAB 5 .0002 . 0001 .0005

.0003 .0001 .0002

. 0006 . 000 0 . 0003

.0005 .0001 -0005

.0002 .0001 .0002

.0005 . 0001 .0003

.0001 .0001 .0002

. 0002 . 0001 .0003

.0002 . 000 I .0002

.0002 .0001 .0008

.0006 . 000 1 . 0003

.0003 .0000 .0002

. 0004 . 0001 . 0003

. 0002 . 0001 .0002

.0001 . 000 1 .0004

.0002 .0001 .0005

. 0002 . uOO 1 . 0002

.0002 .0001 .0004

. 0002 .0001 .0003

- ALL L ABS POOLED

* STD DEV PCT C.V. **** * .50

.43

. 0006 .59

.84 ***** .70

.54

.0002 .15

.0003 .26 ***** .41 **** * 1.06 **** * 1.00

.44 ***** .7 1 ***** . 86 **** * .60

.0005 .44 **** * .62 **** * .88 **** * .86

a Laboratory 1 data were discarded. There were large discrepancies in

the phase measurements ipade by Laboratory 1 because two different

methods were used to compensate for the length of coaxial line which

connected the two 10-dB attenuators.

b Pooled values of within- laboratory standard deviation are given only

when the laboratory variances satisfy Cochran's test for homogeneity

of variance at the 1 percent level of significance; i.e., when the

largest variance is less than or equal to 0.7212 times the sum of the

variances .

26
APPENDIX

Table A4. Summary of S21 phase measurements

MADE BY FOUR^ LABORATORIES ON 20-dB ATTENUATOR.

MEANS - DEGREES

FREQUENCY* MEAN OF 4 MEASUREMENTS * BETWEEN-LABORATORY

MHZ * LAB 2 LAB 3 LAB 4 LAB 5 * MEAN SID DEV

200. 323.7 324. 8 325. 2 324. 6 324.60 .6 1 300. 306 .2 306.8 307.4 306.6 306.74 .49

400. 288.4 288. 7 289. 3 286.9 288.86 .37

500. 271.5 271.2 271.2 271. 5 271. 36 .18

600. 253.1 253.6 253.6 254.0 253.59 .36

700. 235.6 235. 9 235. 9 236.4 235.97 .35

800. 217.9 218. 1 217.7 219.0 218.17 .56

900. 199.9 200. 5 199. 6 201. 5 200. 39 .83

1000. 182.5 183. 1 182. 1 183.8 182 .87 .73

1100. 165.2 165. 4 164. 8 165.7 165.29 .39

1200. 148. 1 147.6 147. 5 148. 1 147.84 .34

1300. 130.7 130. 1 130. 1 130. 1 130.26 .30

1400. 111.7 112.7 112. 7 112.4 112.41 .47

1500. 95.1 95.1 95.2 94. 8 95.07 .15

1600. 77.7 77.2 77. 5 77.2 77.39 .25

1700. 59.6 59.0 59.4 59.9 59.49 .41

1800. 43.2 41.4 41.6 42.9 42 .28 .91

19 00. 24.8 23.9 24. 1 25. 9 24. 71 .93

2000. 7.8 6.2 6.5 9.4 7.48 1 .45

STANDARD DEVIATION - DEGREES

FREQUENCY* WITHIN-LABORATORY *ALL LABS

MHZ * LAB 2 LAB 3 LAB 4 LAB 5 * POOLED

200. 1.11 .06 .10 .30 ** ** 300. .19 .32 .10 .10 . 20

400. . 13 .17 .05 .19 . 15 500. . 13 .26 . 05 .29 . 21 600. .90 .35 .05 .08  

700. .38 .38 .05 .13 .28

800. .22 . 10 .05 .15 . 14 900. .51 . 17 .05 .25 ** **

1000. 1.02 .39 . 06 .12  

1100. .41 .38 .00 .37 . 33

1200. . 57 .08 .00 .21 **  ** 1300. 1.07 .08 .05 .25   1400. .83 .13 .05 .13 ** **

1500. .51 .32 .08 .17 . 32

1600. 1.14 .15 . 10 .08  

1700. .38 .28 .08 .10 . 24

1800. .67 . 18 .08 .18 **  ** 1900. .87 .13 .10 .06 ****

2000. . 39 .13 .10 .19 . 23

Laboratory 1 data were discarded. There were large discrepancies m

the phase measurements made by Laboratory 1 because two different

methods were used to compensate for the length of coaxial line which

connected the two 10-dB attenuators.

Pooled values of within- laboratory standard deviation are given only

when the laboratory variances satisfy Cochran's test for homogeneity

of variance at the 1 percent level of significance; i.e , when the

largest variance is less than or equal to 0.7212 times the sum of the

variances

27
appendix

Table A5. Sumn'ary of magnitude measurements

made by five laboratories on p-c network ^ using common transistor fixture.

MEANS

FREQUENCY* MEAN OF 4 MEASUREMENTS * BETWEEN-LABORATORY

MHZ * LAB 1 LAB 2 LAB 3 LAB 4 LAB 5 * MEAN SID DEV PCI c.v.

200. .298 .301 . 297 .259 .296 .2902 .0177 6. 10

300. .305 .309 .305 . 275 . 306 .29 99 .0142 4.73

400. .312 .314 .309 .305 .316 . 31 12 .0044 1.41

500. .315 . 321 . 312 . 300 .322 .3144 .0088 2.80

600. .312 .323 .310 .305 . 329 . 31 59 . 0099 3. 12 700. . 308 .320 .310 .3 06 .337 .31 63 .0 129 4.08

800. . 302 .318 .312 .319 . 346 . 31 93 .0163 5.12

900. .308 .320 .312 . 3 14 . 354 . 32 17 .0187 5. 81

1000. .323 .325 . 316 . 306 .364 .3270 .0221 6.75

1100. .332 .337 .323 .346 .373 .3421 .0192 5.61

1200. .337 .351 . 336 .361 . 384 .3536 .0198 5.60

1300. .339 .361 .345 .373 .393 . 36 24 .0218 6. 00

1400. . 333 . 364 . 354 .414 .404 .37 39 .0342 9.16

1500. .342 .366 . 352 .406 .41 5 .3764 .0327 8.68

1600. .367 .373 .356 .379 .426 .3802 .0268 7.05

1700. .375 .379 .367 .414 .43 5 .3940 .0291 7.40

1800. .384 .398 .386 .402 .445 .4031 .0245 6. 07

1900. .3 97 .404 . 397 .421 .455 .4150 .0245 5.89

2000. .393 .423 .402 .49 8 .46 3 .43 58 . 0440 10. 10

STANDARD DEVIATION

FREQUENCY* WITHIN-LABORATORY * ALL LABS POOLED

MHZ * LAB 1 LAB 2 LAB 3 LAB 4 LAB 5 * STD DEV PCT C.V

200. .0017 .0026 .0005 . 0028 .0008 . 0019 .66

300. .0010 .0008 .0005 .0022 .0008 ***** .41

400. .0010 . 0022 .0010 .0059 .0008 ***** .93

500. . 0015 .0024 .0010 .0039 .0029 .0025 .81

600. .0022 .0015 .0025 .0076 .0042 ***** 1. 34

700. .0033 .0015 .0006 .0154 .0015 ***** 2. 25

800. .0017 . 0033 . 0022 .0175 .0021 ***** 2.54

900. .0018 .0029 .0013 .0159 .0049 ***** 2.38

1000. . 0019 . 0029 .0014 .0258 .0042 ***** 3.62

1100. .0014 .0014 .0010 .0190 .0034 ***** 2. 54

1200. .0026 .0026 .0015 .0125 .0048 ***** 1. 76

1300. .0017 . 0019 .0019 .0414 .0030 ***** 5. 14

1400. .0016 .0047 .0013 .0233 .0034 ***** 2. 88

1500. . 0024 .0037 . 0032 .0257 .0038 ***** 3. 16 1600. .0045 .0008 .0031 .0429 .0029 ***** 5. 11 1700. .0017 .0061 .0025 .0271 .0032 ***** 3.20

1800. .0034 .0059 .0043 .0282 .0033 ***** 3.27

• 1900. .0044 .0373 .0035 .0439 .0027 . 0259 6.25

2000. .0021 .0059 .0038 .0409 .0029 ***** 4.27

a Pooled values o£ within- laboratory standard deviation

are given only when the laboratory variances satisfy

Cochran's test for homogeneity of variance at the 1% level of significance; i.e., when the largest variance

is less than or equal to 0.6329 times the sum of the

variances

28
appendix

Table A6. Summary of phase measurements

made by five laboratories on r-c network ^ using common transistor fixture.

MEANS - DEGREES

MEAN OF 4 MEASUREMENTS OCT UPPM— D t 1 W C C PJ LABORATORY

M U 7 A n n z. ^ 1LADA R 1i U A CD c.

1LADA ft D LAD IAD II. *+ LAD 1 A ft 0 ^ Mn t A M A IN 0 1 u U C V 9 n n J uc> . o O U P • *t DKJO • O 'XC\C\ 1 ^ U i • D

2 n 9 ft 1 9c. • ^ u u •

9 7 A Q 9 7Q c: 9 ft 1 n c

• D

9 7 Q no £l .

1 9 c: 7 ^ -> O • 7 ^ -)o • o ^9 oA nU • Q7

9 A. 1 0 C Q HA c • uu

n n D U u • /I . ^ n ft t?^.n *T U • 71 9 ^ Q 9 9 "a R • ^

9 "a Q An 9^ • Ann o u u • c.P C.O ? A » Q^ ? c.7 D^ • c.7 P 9 9 A. 9 1 0 9 • <i 99a 7A. 9

r U U • ^? X1 11 • ^^ U J • J

one; ^ U

-2 • D

9 n ft A 1 A*+ .

fto nu nu •

1 Q 7 ^ 1 Q ft 1 1 Q ft ^ 1 ft ft A 1 Q • ^1 i V !?• i 0

At . y 7

7 u u • 183.9 185.4 186.4 178.7 1 ft 9 • i i 0 ^3. 05

1000. 172. 8 173. 5 174. 5 169.2 172 .5 172.51 1. 98

1100. 163.7 163.2 163.9 161. 1 163 .2 163. 05 1. 11 1200. 155.2 154. 1 155.3 156.8 155 .3 155.37 96

1300. 148.2 146.9 148.4 143 .3 147 .9 146.96 2. 10 1400. 140. 1 140. 0 142. 3 132. 3 141 .1 139. 17 3. 92

1500. 130.6 132.5 134.7 127. 1 134 .9 131,97 3. 23

1600. 123. 5 125. 1 126. 3 117.3 129 .0 124.26 4. 35

1700. 117.7 117.5 117.6 113.4 123 .8 11 7.99 3. 72 1800. 111.8 111.1 111.4 115.1 118 .7 113.62 3. 28

1900. 106. 1 106. 9 10b. 9 107.7 114 .0 108. 36 3. 22

2000. 101.3 102. 1 103.4 101.6 109 .7 103.62 3. 48

STANDARD DEVIATION - DEGREES

FREQUENCY* W ITHI N-LABORATGRY *ALL LABS ^ MHZ * LAB 1 LAB 2 LAB 3 LAB 4 LAB 5 * POOLED

200. .46 .46 .10 1.01 .51 .58

300. .42 . 26 .22 1 .30 .58 ****

400. .44 . 53 . 17 1. 22 . 55  

500. . 22 .25 .73 1.35 .66 .76

600. . 14 . 19 .38 2-02 .43 ** **

700. .25 . 26 .62 . 56 .24 .42

800. .37 .35 .67 2.99 .22  

900. .48 . 56 .54 4.99 .34 ** **

1000. . 24 . 24 .68 1.01 .43 .60

1100. . 19 .35 .81 4. 10 .64  

1200. .24 .17 .78 4.79 .81 ** **

1300. .38 . 26 .88 .75 . 81 .67

1400. .44 .90 .82 4.42 . 83  

1500. . 49 . 92 . 89 5.98 1 .02 ** **

1600. .17 . 45 .78 1.70 1. 11 1.00

1700. .45 .33 .73 4.48 1.16  

1800. . 21 .25 . 75 5.24 .94 ** **

1900. .21 1.78 .84 3.43 1.01  

2000. . 29 . 37 .79 2.28 1.09 ** **

a Pooled values of within- laboratory standard deviation

are given only when the laboratory variances satisfy

Cochran's test for homogeneity of variance at the 1%

level of significance; i.e., when the largest variance

is less than or equal to 0.6329 times the sum of the

variances .

29
appendix

Table A7, Summary of s^^ magnitude measurements

made by five laboratories on r-c network ^ using common transistor fixture.

MEANS

FREQUENCY* MEAN OF 4 MEASUREMENTS * BETWEEN-LABORATORY

MHZ * LAB 1 LAB 2 LAB 3 LAB 4 LAB 5 * MEAN STD DEV PCT C.V.

200. . 649 .650 .650 .645 .658 .6503 .0049 . 75

300. .597 .598 . 596 . 582 . 600 .5946 .0072 1.21

400. .535 .538 .536 .533 .540 .5363 .0028 . 52

500. .478 .475 .475 .475 .477 .47 59 .0013 .27

600. .427 .424 .419 .424 .42 3 .4236 .0026 .62

700. .381 .377 .372 .374 .37 2 .3752 .0035 .93

800. .338 .339 . 332 . 336 . 331 . 33 53 .0032 .95

900. .300 .302 .297 .300 .296 . 2988 .0027 . 90

1000. .267 . 266 . 264 .269 .262 .2655 .0026 .99

1100. .238 .239 .235 .239 .234 . 2371 . 0024 1.03

1200. .214 .214 .211 .215 .212 .2131 .0015 .72

1300. . 192 .192 . 190 . 196 .190 . 1918 .0023 1.20

1400. .173 .172 .172 .180 .172 . 1739 .0033 1. 91 1500. .157 .156 .157 . 166 .156 . 15 85 .0043 2.71

1600. . 144 . 144 .143 .152 .143 . 14 53 .0038 2.64

1700. .133 . 135 .132 . 138 .132 . 1340 .0023 1.71

1800. .125 .126 .123 . 125 .123 .12 45 .0014 1.11

1900. .115 . 123 .116 .119 .116 .1179 .0033 2.81

2000. .109 .111 .111 . 118 .110 . 11 16 .0035 3.18

STANDARD DEVIATION

FREQUENCY* WITHIN -LABORATORY * ALL LABS POOLED ^ MHZ * LAB 1 LAB 2 LAB 3 LAB 4 LAB 5 * STD DEV PCT C.V.

200. .0009 .0056 .0012 .0017 .0014 ***** .43

300. . 0006 .0047 .0008 .0007 .0020 ***** . 39

400. .0007 .0023 .0029 .0013 .0013 . 0019 .35

500. .0010 .001.0033 .0011 .0015 ***** . 39

600. , 0007 .0040 .0008 .0013 .0008 ***** .46

700. .0006 .0015 .0022 .0003 .0003 ***** .33

800. . 0006 .0014 .0020 .0008 .0008 .0012 .37

900. .0007 . 0003 . 0007 .0010 .0008 . 0008 .25

1000. . 0005 . 0048 .0023 .0009 .0007 ***** .92

1100. .0004 .001.0019 . 0006 .0023 . 0015 .62

1200. .0004 .0021 .0013 .0015 .0003 .0013 .62

1300. . 0002 ,0010 .0013 .0009 .0004 . 0009 .46

1400. .0003 .0010 .0015 .0006 .0007 . 0009 . 52

1500. . 0011 .0014 .0016 .0003 .0008 .0011 .71

1600. .0008 .0019 .0017 .0015 . 0006 . 0014 . 96

1700. . 0002 .0017 .0020 .0014 .0009 .0014 1.03

1800. . 0002 .0016 .0019 .0012 .0008 .0013 1.02

1900. .0004 .0070 .0018 .0009 .0007 ***** 2. 78

2000. . 0006 .0021 .0020 .0016 .0008 .00 15 1.39

a Pooled values of within - laboratory standard deviation

are given only when the laboratory variances satisfy

Cochran's test for homogeneity of variance at the II level of significance; i.e., when the largest variance

is less than or equal to 0.6329 times the sum of the

variances

30
APPENDIX

Table A8. Summary of S21 phase measurements

MADE BY FIVE LABORATORIES ON R-C NETWORK ^ USING COMMON TRANSISTOR FIXTURE.

MEANS - DEGREES

MEAN OF 4 MEASUREMENTS R F T UF F N— 1 AR nR A TOR

nMMn z.7 4^ LAB 1 LAB 2 LAB 3 LAB 4 1I- M

A QD -JS 4^ MEAN STO DEV

^ W VJ • 330.7 331.1 330.9 329 . 2 3 30 . 1 33 0. 41 • 73

J U U • 317.5 318.3 317.9 317.9 316.7 317.67 .61

400 • 305.8 306. 4 306. 1 306. 2 305 . 0 30 5. 89 . 55

294. 9 2 95.9 ? QA . 1 t.? Q7 S . J^ 29 5.1 29 5. 47 . 53

Ann 285 • 6 2 86.8 287. 1 286.3 2 86.2 2 8 6. 41 . 58

7 nn 2 77.0 276.4 279.2 2 78.7 ? 7ft 27 8. 35 . 80

R0 nnw u • 269. 8 270. 7 271.9 271.8 7 71 3 27 1. 13 . 86

9 00. 262-5 263.7 264.9 265.2 264. 8 264. 24 1.11

1000. 256. 3 257. 1 258.1 258.0 258 .3 257.56 . 84

1100. 249.9 251.0 252. 1 251. 2 252.4 251.33 1.01

1200. 244.4 245.0 246.3 245.4 246.5 245.51 . 89

1300. 238. 1 238. 7 240.2 240.6 240.9 239.73 1.24

1400. 232.6 233.0 234.2 234.9 235.2 234. 00 1. 13 1500. 226.6 226.6 227.9 228.7 229.6 227.89 1. 34

1600. 220.9 221. 1 222.0 222.7 224.2 222. 21 1.33

1700. 215.1 215.0 216.2 216.5 218.6 216. 30 1.46

1800. 210.0 209. 3 210.2 210.7 212.6 21 0. 56 1. 28

1900. 204.4 204. 1 204.4 205.4 207.4 205.16 1.38

2000. 198.4 198.3 198.8 200. 1 201.6 199.47 1.40

STANDARD DEVIATION - DEGREES

FREQUENCY* W ITHIN -LABORATORY *ALL LABS ^ MHZ * LAB 1 LAB 2 LAB 3 LAB 4 LAB 5 * POOLED

200. . 14 . 19 . 10 . 13 .26 .17

300. .10 .22 .21 .17 . 17 .18

400. .05 . 15 .28 .14 .28 .20

500. . 10 . 13 .29 .28 .32 .24

600. . 08 .26 .57 .10 .32 .32

700. . 10 . 14 .19 .25 .32 .21

800, .13 .25 .34 .29 .40 . 30

900. . 17 .32 .47 .14 .49 .35

1000. .14 .26 .31 .26 . 51 .32

1100. .22 .45 .43 -54 .90 .56

1200. .22 .37 .52 .34 .71 .46

1300. .24 .75 .39 .66 .85 .62

1400. . 10 .51 .71 . 38 . 77 .55

1500. . 26 1.08 .76 .34 .89 .74

1600. . 32 . 44 . 97 .29 . 84 .64

1700. .19 .41 1.01 .78 .92 .73

1800. .28 .36 .90 -36 1.20 .72

1900. .22 .87 .82 . 52 1.24 .81

2000. .32 .47 .78 .57 1.28 .76

a Pooled values of wi thin - laboratory standard deviation

are given only when the laboratory variances satisfy

Cochran's test for homogeneity of variance at the II level of significance; i.e., when the largest variance

is less than or equal to 0.6329 times the sum of the

variances

31
appendix

Table P9. Summary of magnitude measurements

MADE BY five LABOPATOPIES ON P.-C NETWORK k USING PARTICIPANT'S TRANSISTOR FIXTURE

MEANS

FREQUENCY* MEAN OF 4 MEASUREMENTS * BETWEEN-LABORATORY

MHZ * LAB 1 LAB 2 LAB 3 LAB 4 LAB 5 * MEAN STD DEV PCT C.V.

200. .294 . 301 . 296 .251 .294 .2873 .0204 7. 10

300. .290 .305 . 301 .28^ .300 .2963 .0086 2.90

400. .282 .313 .303 .309 - 31 0 . 3033 .0125 4. 14

500. .285 . 322 .306 .293 -315 .3042 -0154 5.06

600. .301 .327 .308 . 329 - 323 .3178 -0125 3.92

700. .318 .331 .312 . 296 .333 .3179 .0152 4. 78

800. .321 .338 . 313 .344 .344 .3320 .0143 4.31

900. .323 .343 .318 .367 .353 . 3408 .0205 6. 02

1000. .327 .336 .320 .296 .365 .3289 .0251 7.63

1100. .333 .339 -325 .378 -376 .3504 .0249 7. 10 1200. .346 .337 . 336 .400 .389 .36 17 .0304 8.40

1300. -352 .338 .343 .338 .400 . 3544 .0261 7. 35

1400. .346 -343 .349 .453 .414 . 38 11 .0497 13.05

1500. . 355 . 341 . 345 . 432 . 424 . 37 95 .0447 11.78

1600. .380 . 347 . 348 - 329 .436 .36 82 .0423 11.48

1700. . 394 .356 .359 .476 .446 .40 66 -0534 13. 13

1800. .399 .37o .381 .464 .457 .41 55 .0421 10. 14

STANDARD DEVIATION

FREQUENCY* WITHIN-L ABORATQR

* ALL LABS POOLED ^ MHZ * LAB 1 LAB 2 LAB 3 LAB 4 LAB 5 * STD DEV PCT C-V.

200. .0012 .0015 .0008 .0135 .0010 ***** 2. 13

300. . 0005 .0029 .0000 .0100 .0013 ***** 1.58

400- . 0005 . 0008 .0013 . 0089 .0021 ***** 1.37

500. .0010 .0015 .0000 .0138 .0037 ***** 2. 12 600. .0015 .0022 .0012 . 0244 .0049 ***** 3. 52

700. .0022 .0025 .0043 .0263 .0032 ***** 3. 80

800. .0014 .0005 .0038 . 0197 . 0047 ***** 2.79

900- .0024 .0024 .0005 .0522 .0033 ***** 6. 88

1000. .0017 .0031 .0010 .0404 .0041 ***** 5. 54

1100. .0017 . 0022 .0026 .0349 .0037 ***** 4. 50

1200. .0022 .002 1 .0032 .0446 .0040 ***** 5. 56

1300. . 0008 .0030 .0032 .0689 .0024 * ** ** 8.71

1400. .0022 .0030 .0013 .0546 .0019 ***** 6.43

1500. -0006 .0020 .0014 .0454 .0038 ***** 5.38

1600. -0036 .0022 .0030 .0855 .0037 ***** 10. 41

1700. -0064 .0022 .0050 .0794 .0031 * ** ** 8. 79

1800. - 0062 .0028 . 0075 . 0554 .0025 ***** 6.07

a Pooled values of within - laboratory standard deviation

are given only when the laboratory variances satisfy

Cochran's test for homogeneity of variance at the II level of significance; i.e., when the largest variance

is less than or equal to 0.6329 times the sum of the

variances

32
appendix

Table /^JD. Summary cf phase mfasupemfnts

made by five laboratories on p-c network ^1 usinc participant's transistor fixture.

MEANS - DEGREES

FREQUENCY* MEAN OF 4 MEASUREMENTS * BET WEEN- LABORATORY

MHZ * LAB 1 LAB 2 LAB 3 LAB 4 LAB 5 * M EAN STD DE V 200. 304. 1 304. 7 303. 7 301 . 5 301 .2 303.06 1. 56

300. 279 .

279. 2 279. 3 277.8 275.4 27 8. 22 1

70

400. 256.

257.1 257.4 263.8 253.3 25 7. 54 3. 89

500. 234. 8 238. 7 238. 5 235.8 234.0 236. 38 2. 14 600. 217.4 223.1 221.3 221.9 217.4 220.22 2. 64

700. 203.4 209. 1 206.6 206.1 202.9 205.61 2. 51

800. 191.0 196.4 195.0 181.8 190.6 190. 97 5. 69

900. 180.4 185.9 184.2 179.2 179.4 181.84 3. 04

1000. 169.6 176. 4 173. 0 170.3 169.7 171.77 2. 92

1100. 158 .8 166.7 162.6 154.6 160.6 160. 67 4. 49

1200. 149. 8 157. 2 153.9 158.6 152.7 154.48 3. 54

1300. 143.6 148. 5 146.9 141.0 145.4 14 5. 06 2. 92

1400. 136.2 139.7 140.5 125.8 138.9 136. 24 6. 05

1500. 126.9 131.3 132.4 131.9 132.7 131.06 2. 37

1600. 119 .9 122.6 123.2 112.9 127.0 12 1. 11 5. 25

1700. 114.5 113.5 114. 0 108. 0 122.3 114.46 5. 12 1800. 109.3 105.6 107.7 121.4 117.3 112.31 6. 71

STANDARD DEVIATION - DEGREES

FREQUENCY* WITHI

-LABORATORY *ALL LABS

MHZ * LAB 1 LAB 2 LAB 3 LAB 4 LAB 5 * POOLED

200. .32 .42 .05 1 . 89 1.00 ****

300. . 19 .43 .21 4.09 1.04  

400. .35 .35 .24 3.45 1.02 ** **

500. .39 .31 .87 3.80 .70  

600. .24 .64 .28 2. 19 .42 «** *

700. .26 . 15 .90 4.09 .24 ****

800. . 53 .28 .41 7.10 .15  

900. .55 .21 .26 4.98 .15 ** **

1000. .32 .36 .17 3.86 .26  

1100. .73 .40 .59 6. 34 .15 ** **

1200. .34 .41 .26 7.69 .37 *«**

1300. .33 .29 .34 2.93 .50  

1400. .48 .45 .30 6. 10 .52 ** **

1500. .43 . 38 .48 11.29 .52 * ** * 1600. .46 .29 .55 4.96 .85 *«**

1700. .67 .22 .56 6.21 .57  

1800. .64 .42 .51 11.60 .29 ** «*

a Pooled values of within-laboratory standard deviation

are given only when the laboratory variances satisfy

Cochran's test for homogeneity of variance at the 1%

level of significance; i.e., when the largest variance

is less than or equal to 0.6329 times the sum of the

variances

33
APPENDIX

Table All. SuMf^ARY of $21 magnitude measureffnts

MADE BY FIVE LABORATORIES ON P-C NETWORK ^ USING PARTICIPANT'S TRANSISTOR FIXTURE,

MEANS

FREQUENCY* MEAN OF 4 MEASUREMENTS * BETWEEN-LABORATORY

Mn Hn 7 * 1 AR 1 1LADA R £_7 1L ARW D ^O tL MA RD 4*T 1LADA R S it M F A M o Tn1 U new U t V pr T r w

^ u u • . 0*tO • ^O R13 nU m O *r 7 A Zi. 7 . oD -> n n ^ A . I> D

D\J\J • • ^L> Q7 AO . D 7 O

c: Q "3 -2 « u UI> o Q 7

*T u u • R 7 H • I? 3 r ^ A • ^ 1 . I? ^ ^J . Of

Ron ^.7 1 • t o ^ m *T t *T . ^ 1 o . ^ 1 J o . OO

600. .418 .428 .419 .424 .42 2 .4223 .0041 .97

700. .373 .377 .367 .374 .376 .37 34 .0040 1.07

800. .331 .334 .331 .333 .336 . 3329 .0024 - .71

900. .293 .297 .297 .297 .295 .29 59 .0019 .64

1000. .26 1 . 260 .266 .267 .264 . 2c40 .0030 1.13

1100. .234 .237 .238 .238 .237 .2370 .0018 . 74

1200. . 210 .212 . 216 .215 .213 .2133 .0022 1.02

1300. .188 . 192 . 195 . 197 .191 . 1926 .0035 1.82

1400. .170 .174 .178 .181 . 175 .1753 .0041 2.37

1500. .153 . 158 . 164 . 166 .160 . 1602 .0050 3.15

1600. .141 .147 . 150 .153 .147 . 14 75 .0046 3. 12 1700. . 129 .134 . 138 . 140 .136 . 13 53 .0043 3.17

1800. .120 .127 . 129 .128 .126 . 1261 .0034 2.72

STANDARD DEVIATION

FREQUENCY* WITHIN-LABORATORY * ALL LABS POOLED

MHZ * LAB 1 LAB 2 LAB 3 LAB 4 LAB 5 * STD OEV PCT C.V

200. .0007 .003 2 .0005 .0014 .001

***** . 26

300. .0016 .0034 .0007 .0009 .0018 .00 20 .33

400. .0005 .0018 .0030 .0007 .0010 ***** .31

500. . 0013 .0020 .0023 .0009 .0018 .0017 .36

600. .0005 . 0027 .0009 .0012 .0013 . 0015 .36

700. .0009 .0009 .0011 .0008 .0014 .00 10 .28

800. .0008 .002 5 .0007 . 0006 .0013 ***** .42

900. .0013 .0027 .0004 .0002 -0013 ***** . 50

1000. . 0008 . 0034 .0021 .0005 .0012 ***** .72

1 100. .0008 .0023 .0024 .0009 .0021 . 0018 .77

1200. .0012 .0018 .0004 .0008 .0006 .0011 .51

1300. .0007 .0010 .0010 .0005 .0010 .0009 .46

1400. .001 1 .0020 .0013 .0010 .0009 . 0013 .74

1500. .0007 .001 5 .0006 .0010 .0008 .0010 .61

1600. .0010 .0018 .0010 .0005 .0005 . 0011 .72

1700. .0012 .001 1 .0003 .0007 .0004 .0008 .61

1800. . 0009 .0012 .0004 .0010 .0007 .0009 .71

a Pooled values of within-laboratory standard deviation

are given only when the laboratory variances satisfy

Cochran's test for homogeneity of variance at the \%

level of significance; i.e., when the largest variance

is less than or equal to 0.6329 times the sum of the

variances

34
appenpix

Table P}2, Supmapy of $21 phase kfasupements

made by five laboratopies on r-c network ^' ijsino participant's transistor fixture.

MEANS - DEGREES

CD cn 1 1 p Mr V & MEAN OF 4 MEASUREMENTS R F T UP P M — 1 A R no A T no V

rin Z. ^ 1LADA R 1L LAD c. LAD D LAD 1 A ft Zi. T- IAD LAD <^ & D ^ Mn P A M t A IN Q T n n d w

9 n n ^ Z y • D J J U • 3 J U . ^V • OD

J UU •

1 J

~7 A i f . ** ^ 1 fl A. ^ i 0 . H 3 i r • 0 :) i 0 • £i ^ 1 A ft AA. • OH- Ann n u Q n A A J Uo . 0 o Uo • U 3 Uo • c. 0 U . i one Q c

• D !-)

c; n n y D . U / V-> • 0

0 Q C Q 9 Q ^ Q <i V J . Do • 600. 0 Q C Q ^1 0 r> . V

9 Q 7 1 9 Q A ^ 0 0 • 0

9 Q A c; 71 nnUU . 277.2 279. 0 279.3 278. 9

9 7 0 A Z 1 0 . 6 ^ f 0 . 6 i • 0 3 800. 270.2 271.3 271.9 272.3 271-7 27 1. 49 .81

900. 263. 1 263.9 265. 1 265.9 265.1 264.65 1.11

1000. 256. 7 257.8 258. 2 258.9 259.0 25 8. 15 .93

1100. 250.5 251.3 252 .4 252.5 252.7 25 1. 87 . 97

1200. 245. 2 245. 1 246. 7 247. 0 247.5 246.31 1.06

1300. 239.3 239. 1 241.0 241.6 242.0 240. 61 1.32

1400. 234.0 232.9 235. 3 236. 0 236.4 234. 95 1 . 44

1500. 228. 1 227.0 229.2 230.4 230.8 229. 09 1. 58

1600. 222.4 221.3 223. 4 224.3 225.9 223.47 1 .73

1700. 216.6 215.5 217.9 217.7 220. 5 21 7. 63 1 . 86

1800. 211. 7 209.3 212.2 212.1 214.6 212.01 1.88

STANDARD DEVIATION - DEGREES

FREQUENCY* WITHIN-LABORATORY *ALL LABS

MHZ * LAB 1 LAB 2 LAB 3 LAB 4 LAB 5 * POOLED

200. .17 . 26 . 10 .13 .29 .21

300. . 14 . 17 .32 .10 .41 .26

400. . 17 . 10 .29 .13 .28 .21

500. . 33 .25 .24 .10 .40 .28

600, .43 .32 .52 .05 . 29 .36

700. .42 .08 .55 .17 .31 .35

800. .49 . 24 . 05 . 10 .29 .28

900. .68 . 59 .08 .28 . 17 .43

1000. . 70 . 17 .13 .37 .21 ****

1 100. .59 .39 .61 .08 .30 .44

1200. .81 .47 . 64 . 37 .24 .54

1300. .85 . 80 .54 .57 .21 .64

1400. . 97 . 52 .24 .24 .25  

1500. .98 .82 .31 . 14 .32 .61

1600. 1 .45 .47 .43 . 52 .22 ** **

1700. 1. 23 .47 . 34 .22 .28 ****

1800. .88 . 66 .17 .17 .06 .50

a Pooled values of within-laboratory standard deviation

are given only when the laboratory variances satisfy

Cochran's test for homogeneity of variance at the II level of significance, i.e., when the largest variance

is less than or equal to 0.6329 times the sum of the

variances

35
APPENDIX

Table A13. Summary of magnitude measurements

MADE BY THREE^ LABORATORIES ON R-C NETWORK 4 USING COMMON TRANSISTOR FIXTURE.

MEANS

FPEQUENCY* MEAN OF 4 MEASUREMENTS * BETWEEN-LABORATORY

MHZ * LAB 1 LAB 2 LAB 3 * MEAN STD DEV PCT C.V.

200. .29 8 .301 .297 . 2987 .0022 .73

300. .305 .309 .305 .3063 .0023 .76

400. .312 .314 .309 .3118 .0023 .74

500. .315 .321 .312 .3164 ,0046 1.46

600. .312 .323 .310 .3151 .0067 2.13

700. .308 .320 .310 .3128 .0066 2.10

800. .3 02 .318 .312 .3104 .008 1 2.60

900. . 308 .320 .312 .3135 .0061 1.93

1000. .323 .325 .316 .3214 .0048 1.48

1100. . 332 .337 .323 .3306 ,0072 2,19

1200. .337 .351 .336 .3412 .0083 2.44

1300. .339 .361 . 345 .3485 .0111 3.17

1400. .333 .3 64 .3 54 .3504 .0160 4.57

1500. .342 .3 66 .352 .3535 .0118 3.34

1600. .367 .373 .356 . 3654 .008 5 2.32

1700. .375 .379 .367 .3736 .0062 1.65

1800. .3 84 . 398 .3 86 . 3896 .007 6 1 .94

1900. .397 .404 .397 . 3995 .0039 .98

2000. . 393 .423 .402 .4059 .0153 3.78

STANDARD DEVIATION

FREQUENCY* WITHIN-LABORATORY * ALL LABS POOLED ° MHZ * LAB 1 LAB 2 LAB 3 * STD DEV PCT C.V.

200. .0017 .0026 .0005 .0018 .61

300. .0010 . 0008 .0005 .0008 .26

400. .0010 .0022 .0010 .0015 .48

500. .0015 . 0024 .0010 .0017 .54

600. .0022 .0015 .0025 .0021 .67

700. .0033 .0015 .0006 .0021 .68

800. .0017 .0033 .0022 .0025 .81

900. .0018 . 0029 .0013 .0021 .68

1000. .0019 . 0029 .0014 .0022 .68

1100. .0014 .0014 .0010 .0013 .39

1200. .0026 . 0026 .0015 .002 3 .67

1300. .0017 .0019 .0019 .0018 .53

1400. . 0016 . 0047 .0013 ***** .84

1500. .0024 .0037 . 0032 .0031 .89

1600. .0045 .0008 .0031 .0032 .88

1700. .0017 . 0061 .0025 .0039 1 .05

1800. .0034 .0059 .0043 .0047 1 .20

1900. . 0044 .0373 . 0035 ***** 5.45

2000. .0021 .0059 . 0038 .0042 1 .04

a Data from Laboratories 4 and 5 were omitted from this

analysis; Laboratories 1, 2 and 3 used nearly identical

calibration procedures.

b Pooled values of within- laboratory standard deviation

are given only when the laboratory variances satisfy

Cochran's test for homogeneity of variance at the II level of significance; i.e., when the largest variance

is less than or equal to 0.8335 times the sum of the

variances

36
APPENDIX

Table A1^. Summary of phase measurements

MADE BY THREE^ LABORATORIES ON R-C NETWORK ^ USING COMMON TRANSISTOR FIXTURE.

FREQUENCY* MEAN OF

MHZ * LAB 1 200. 303.6

300. 278.9

400. 257.8

500. 240.9

600. 226.9

700. 211.9

800. 197.5

900. 183.9

1000. 172.8

1100. 163.7

1200. 155.2

1300. 148.2

1400. 140.1

1500. 130.6

1600. 123.5

1700. 117.7

1800. 111.8

1900. 106.1

2000. 101.3

MEANS - DEGREES

4 MEASUREMENTS

LAB 2 LAB 3 3 05.4 303. 6 280. 5 279 . 5

2 58.9 258.6

240. 8 240. 7 225.2 224. 9 211.5 211.1

198. 1 198 . 5 185.4 186.4

173. 5 174.5

163.2 163.9

154. 1 155.3

146.9 148. 4 140.0 142.3

132. 5 134.7

125.126.3

117.5 117.6

111.1 111.4

106.9 106.9

102. 1 103.4

* BETWEEN-LABORATORY

* MEAN STO DEV

304.21 1.05

279.62 .82

258.43 .53

240. 83 .08

225.69 1.06

211.50 .36

198.05 .52

185.24 1.29

173.61 .87

163.62 .39

154.89 .64

147.86 .79

140.79 1.29

132.62 2.04

124.98 1.38

117.61 .09

1 1 1 . 43 .38

106.67 .45

102.28 1.07

STANDARD DEVIATION - DEGREES

FREQUENCY* WITHIN-LABORATORY *ALL LABS

MHZ * LAB 1 LAB 2 LAB 3 * POOLED

200. .46 .46 .10 .38

300. .42 .26 .22 .31

400. .44 .53 . 17 .41

500. .22 .25 .73 .46

600. . 14 .19 .38 .26

700. .25 .26 .62 .42

800. .37 .35 .67 .49

900. .48 . 56 . 54 . 53 1000. .24 .24 .68 .44

1100. .19 .35 .81 .52

1200. .24 . 17 .78 ****

1300. .38 .26 .88 .58

1400. .44 .90 . 82 .75

1500. .49 .92 .89 .79

1600. .17 .45 .78 .53

1700. .45 .33 .73 .53

1800. .21 .25 .75 ****

1900. .21 1.78 .84 1. 14

2000. .29 .37 .79 .53

a Data from Laboratories 4 and 5 were omitted from this

analysis; Laboratories 1, 2 and 3 used nearly identical

calibration procedures.

b Pooled values of within-laboratory standard deviation

are given only when the laboratory variances satisfy

Cochran's test for homogeneity of variance at the 1% level of significance; i.e., when the largest variance

is less than or equal to 0.8335 times the sum of the

variances

37
APPENDIX

Table A15. Summary of S21 magnitude measurements

MADE BY THREE^ LABORATORIES ON R-C NETWORK ^ USING COMMON TRANSISTOR FIXTURE.

MEANS

FREQUENCY* MEAN OF 4 MEASUREMENTS * BETWEEN-LABORATORY

MHZ * LAB 1 LAB 2 LAB 3 * MEAN STD OEV PCT C. 200. . 649 .650 .650 .6495 .0007 .11

300. .597 .598 .596 . 5969 .0010 .17

400. . 535 .538 .536 .5362 .001 8 .34

500. .478 .475 . 475 .4760 .001 5 .31

600. .427 .424 .419 .4235 .0036 .86

700. . 381 . 377 .372 .3766 .0041 1 .08

800. .338 .339 .332 .3362 . 0033 .98

900. .300 .302 .297 .2996 .0030 .99

1000. .267 .266 . 264 . 2656 .0017 .66

1100. .238 .239 .235 . 2374 .0024 1.02

1200 . .214 .214 .211 .2131 .0015 .70

1300. .192 .192 .1 90 . 1910 .0012 .60

1400. - 173 .172 . 172 .1724 .0008 .49

1500. .157 .156 . 157 . 1566 .0006 .36

1600. . 144 . 144 . 143 . 1437 .0005 .31

1700. . 133 .135 .132 . 1333 . 0013 .97

1800. . 125 .126 .123 . 1248 .0014 1.12

1900. .115 .123 . 1 16 .1183 .0043 3.63

2000. .109 .111 .111 . 1102 .0012 1.11

STANDARD DEVIATION

FREQUENCY* WITHIN-LABORATORY * ALL LABS POOLED ^ MHZ * LAB 1 LAB 2 LAB 3 * STD DEV PCT C.V.

200. .0009 .0056 .0012 ***** .51

300. .0006 .0047 .0008 ***** .46

400. .0007 . 0023 . 0029 .0022 .41

500. .0010 .0011 .0033 .0021 .44

600. .0007 . 0040 .0008 ***** .57

700. .0006 . 0015 .0022 .0016 .42

800. .0006 . 0014 . 0020 .0014 .43

900. .0007 .0003 .0007 .0006 .21

1000. .0005 . 0048 . 0023 .0031 1.16

1100. .0004 .0011 .0019 .0013 .55

1200. .0004 .0021 .0013 .0015 .69

1300. .0002 . 0010 . 0013 .0010 .50

1400. .0003 .0010 .0015 .0010 .61

1500. .0011 . 0014 . 0016 .0014 .87

1600 . .0008 . 0019 . 0017 .0016 1 .09

1700. .0002 .0017 .0020 .0015 1.13

1800. .0002 . 0016 . 0019 .0014 1.14

1900. .0004 .0070 .0018 ***** 3.54

2000. . 0006 . 0021 .0020 .0017 1.55

a Data from Laboratories 4 and 5 were omitted from this

analysis; Laboratories 1, 2 and 3 used nearly identical

calibration procedures .

b Pooled values of within-laboratory standard deviation

are given only when the laboratory variances satisfy

Cochran's test for homogeneity of variance at the II level of significance; i.e., when the largest variance

is less than or equal to 0.8335 times the sum of the

vari ances

38
APPENDIX

Table A16. Summary cp S21 phase measurements

MADE BY THREE^ LABORATORIES ON R-C NETWORK ^ USING COMMON TRANSISTOR FIXTURE,

MEANS - DEGREES

FREQUENCY* MEAN OF 4 MEASUREMENTS * BETk^EEN- LAB ORATOR

MHZ * LAB 1 LAB 2 LAB 3 * MEAN STD DEV

200. 330.7 331. 1 330.9 330. 88 .19

300. 317.5 318.3 317.9 317.89 .43

400. 305.8 306.4 306. I 306. 09 .28

500. 294. 9 295.9 296. 1 295.64 .67

600. 285.6 286. 8 287. 1 286. 50 .80

700. 277.0 278.4 279.2 278.20 1.09

800. 269.8 270. 7 271.9 270.84 1 .04

900. 262.5 263. 7 264.9 263. 73 1.20

1000. 256.3 257. 1 258. 1 257.19 .93

1100. 249.9 251.0 252. 1 250.99 1.13

1200. 244.4 245.0 246. 3 245.22 .97

1300. 238. 1 238. 7 240. 2 239.03 1.10

1400. 232.6 233.0 234.2 233. 29 .8 1 1500. 226.6 226.6 227.9 227.02 .76

1600. 220.9 221. 1 222. 0 221. 37 .60

1700. 215.1 215.0 216. 2 215.44 .64

1800. 210.0 209. 3 210. 2 209.81 .47

1900. 204.4 204. 1 204.4 204. 30 . 20

2000. 198.4 198. 3 198. 8 198. 52 .24

STANDARD DEVIATION - DEGREES

FREQUENCY* W I TH I N-L AB OR ATQR Y *ALL LABS ^ MHZ * LAB 1 LAB 2 LAB 3 * POOLED

200. . 14 . 19 . 10 . 15 300. . 10 .22 .21 .18

400. .05 .15 .28 .18

500. .10 . 13 .29 . 19

600- .08 .26 .57 .36

700. . 10 .14 .19 .15

800. .13 .25 .34 .26

900. .17 .32 .47 .34

1000. .14 . 26 .31 .25

1100. .22 .45 .43 .38

1200. .22 .37 .52 .39

1300. .24 . 75 . 39 .51

1400. .10 .51 .71 .51

1500. .26 1.08 .76 .78

1600. .32 .44 .97 . 64

1700. .19 .41 l.Ol ****

1800. .28 . 36 .90 .58

1900. .22 . 87 . 82 .70

2000. .32 .47 .78 .56

a Data from Laboratories 4 and 5 were omitted from this

analysis; Laboratories 1, 2 and 3 used nearly identical

calibration procedures.

b Pooled values of within-laboratory standard deviation

are given only when the laboratory variances satisfy

Cochran's test for homogeneity of variance at the II level of significance; i.e., when the largest variance

is less than or equal to 0.8335 times the sum of the var i ances

39
APPENDIX

Table A17. Sumkary of magnitude measurements

MADE BY THREE^ LABORATORIES ON P-C NETWORK ^ USING PARTICIPANT'S TRANSISTOR FIXTURE,

MEANS

FREQUENCY* MEAN OF 4 MEASUREMENTS * BETWEEN-LABORATORY

MHZ * LAB 1 LAB 2 LAB 3 * MEAN STD DEV PCT C. 200. .294 .301 .296 . 2971 .0037 1.26

300. . 290 .305 . 301 . 2988 .0077 2.59

400. .282 .313 .303 . 2994 -0160 5.35

500. .285 .322 .3 06 .3043 .0188 6.18

600. . 30 1 .327 .308 .3121 .0134 4.28

700. .316 .331 .312 .3203 . 009 5 2.97

800. .321 .338 .313 . 3238 .0127 3.93

900. .323 .343 .318 . 3279 .013 1 4.01

1000. .327 .336 .320 .3279 .0080 2.45

1100. .333 .339 .325 .3326 .0069 2.08

1200. . 346 .337 . 336 . 3398 . 0054 1.58

1300 . .352 .338 .343 . 3446 .0068 1.99

1400. . 346 .343 .349 .3462 .0030 .88

1500. .355 .341 .345 . 3472 .0075 2.16

1600. .380 .347 .348 .3584 .0187 5.22

1700. . 394 .356 .359 . 3700 .0213 5.75

1800. .399 .376 .381 .3854 .0120 3.11

STANDARD DEVIATION

FREQUENCY* WITHIN-LABORATORY * ALL LABS POOLED

MHZ * LAB 1 LAB 2 LAB 3 * STD DEV PCT C.V

200. .0012 .0015 .0008 -0012 .40

300. -0005 . 0029 .0000 ***** .56

400. .0005 . 0008 . 0013 -0009 .31

500. -0010 .0015 .0000 .0010 .34

600. .0015 . 0022 . 0012 .0017 .53

700. .0022 .0025 .0043 .0032 .99

800. -0014 . 0005 .0038 ***** .72

900. -0024 . 0024 . 0005 .0020 .59

1000. -0017 . 0031 . 0010 .0021 .64

1100. -0017 .0022 .0026 .0022 .66

1200. -0022 . 0021 . 0032 .0025 .74

1300. .0008 . 0030 . 0032 .0026 .75

1400. .0022 .0030 .0013 .0023 .66

1500. .0006 . 0020 .0014 .0015 .42

1600. .0036 .0022 .0030 . 0030 .83

1700. - 0064 . 0022 .0050 .0049 1.31

1800. .0062 . 0028 . 0075 .0059 1.52

a Data from Laboratories 4 and 5 were omitted from this

analysis; Laboratories 1, 2 and 3 used nearly identical

calibration procedures.

b Pooled values of within-laboratory standard deviation

are given only when the laboratory variances satisfy

Cochran's test for homogeneity of variance at the II level of significance; i.e., when the largest variance

is less than or equal to 0.8335 times the sum of the

variances

40
APPENDIX

Table A18. Summary of phase measurements

MADE BY THREE^ LABORATORIES ON R-C NETWORK ^ USING PARTICIPANT'S TRANSISTOR FIXTURE.

MEANS - DEGREES

FREQUENCY* MEAN OF 4 MEASUREMENTS * BETWEEN- LABORATOR

MHZ * LAB 1 LAB 2 LAB 3 * MEAN STD DEV

200. 304. 1 304.7 303.7 304. 17 .48

300. 279.4 279. 2 279.3 279. 29 .10

400. 256.1 257. 1 257.4 256. 87 .71

500. 234.8 238.7 238. 5 237.33 2.22

600. 217.4 223.1 221 .3 220. 58 2.92

700. 203.4 209. 1 206.6 206. 35 2.86

800. 191 .0 196.4 195. 0 194. 16 2.78

900. 180.4 185.9 184.2 183.52 2.83

1000. 169.6 176.4 173.0 172.98 3.40

1100. 158.8 166.7 162.6 162.72 3.96

1200. 149.8 157.2 153.9 153.67 3.73

1300. 143.6 148.5 146.9 146. 32 2.50

1400. 136.2 139. 7 140.5 138. 82 2.32

1500. 126.9 131. 3 132.4 130.22 2.92

1600. 119.9 122-6 123.2 121.88 1.76

1700. 114.5 113. 5 114.0 114.00 .50

1800. 109.3 105. 8 107.7 107. 61 1.74

STANDARD DEVIATION - DEGREES

FREQUENCY* W ITHI N-LABOR ATGRY *ALL LABS^

MHZ * LAB 1 LAB 2 LAB 3 * POOLED

200. .32 .42 . 05 .31

300. .19 .43 .21 .29

400. .35 .35 .24 . 32

500. .39 .31 .87 .58

600. .24 .64 .28 .42

700. .26 .15 .90 ****

800. .53 .28 .41 .42

900. .55 .21 .26 .37

1000. .32 .36 .17 .29

1100. .73 .40 . 59 . 59

1200. .34 .41 .26 .34

1300. .33 .29 .34 .32

1400. .48 .45 .30 .42

1500. .43 .38 .48 .43

1600. .46 .29 .56 .45

1700. .67 .22 .56 . 52

1800. .64 .42 .51 .53

a Data from Laboratories 4 and 5 were omitted from this

analysis; Laboratories 1, 2 and 3 used nearly identical

calibration procedures.

b Pooled values of within-laboratory standard deviation

are given only when the laboratory variances satisfy

Cochran's test for homogeneity of variance at the 1% level of significance; i.e., when the largest variance

is less than or equal to 0.8335 times the sum of the

vari ances

41

)
APPENDIX

Table A19. Summary of S21 magnitude measurements

MADE BY THREE^ LABORATORIES ON R-C NETWORK ^ USING PARTICIPANT'S TRANSISTOR FIXTURE.

MEANS

FREQUENCY* MEAN OF 4 MEASUREMENTS * BETWEEN-LABORATORY

MHZ * LAB 1 LAB 2 LAB 3 * MEAN STO DEV PCT C.V.

200. .646 .650 .6 49 . 6482 .0022 .35

300. . 593 . 596 . 596 .5951 .0017 .29

400. . 528 .537 .536 . 5336 . 0047 .87

500. .471 .482 .475 .4761 .0056 1.18

600. .418 .428 .419 .4219 .0056 1.32

700. .373 .377 .367 . 3723 .005 1 1 .36

800. . 33 1 . 334 .331 .3319 .001 9 .57

900. . 293 .297 .297 . 2960 . 0026 .87

1000. .261 .260 .266 .2627 .003 1 1.16

1100. . 234 .237 .238 . 2365 . 0022 .93

1200. .210 .212 .21t5 .2127 .0028 1.31

1300. . 188 . 192 .195 .1915 .0036 1 .90

1400. .170 .174 . 178 . 1737 .0040 2.29

1500. .153 .158 .164 . 1584 .0052 3.26

1600. .141 .147 .150 .1458 .004B 3.30

1700. .129 .134 . 138 . 1337 . 0048 3.61

1800. .120 .127 . 129 . 1256 .0047 3.74

STANDARD DEVIATION

FREQUENCY* WITHIN-LABORATORY * ALL LABS POOLED

MHZ * LAB 1 LAB 2 LAB 3 * STD DEV PCT C.V

200 . .0007 .0032 .0005 ***** . 29

300. .0016 . 0034 .0007 .0022 .38

400. .0005 . 0018 . 0030 . 0020 .38

500. .0013 .0020 .0023 .0019 .41

600. .0005 . 0027 .0009 ***** .39

700. .0009 .0009 .0011 . 0009 .25

800. .0008 . 0025 .0007 .0016 .47

900. .0013 . 0027 .00 04 .0017 .59

1000. .0008 . 0034 .0021 .0023 .89

1100. . 0008 . 0023 .0024 .0019 .82

1200. .0012 .0018 . 0004 .0013 .60

1300. .0007 .0010 .00 10 .0009 .48

1400. .0011 . 0020 . 0013 .0015 .87

1500. .0007 .0015 .0006 .0010 .65

1600. . 0010 . 0018 .0010 .0013 .90

1700. .0012 .0011 .0003 .0009 .71

1800. .0009 . 0012 .00 04 .0009 .72

a Data from Laboratories 4 and 5 were omitted from this

analysis; Laboratories 1, 2 and 3 used nearly identical

calibration procedures.

b Pooled values of within- laboratory standard deviation

are given only when the laboratory variances satisfy

Cochran's test for homogeneity of variance at the 1% level of significance; i.e., when the largest variance

is less than or equal to 0.8335 times the sum of the

variances

42
APPENDIX

Table A20. Summary of S21 phase measurements

MADE BY THREE^ LABORATORIES ON R-C NETWORK ^ USING PARTICIPANT'S TRANSISTOR FIXTURE.

FREQUENCY* MEAN OF

MHZ * LAB 1 200. 330.5

300. 317.4

400. 305.8

500. 295.0

600. 285.9

700. 277.2

800. 270.2

900. 263.1

1000. 256.7

1100. 250.5

1200. 245.2

1300. 239.3

1400. 234.0

1500. 228.1

1600. 222.4

1700. 216.6

1800. 211.7

MEANS - DEGREES

4 MEASUREMENTS

LAB 2 1l_ MARLI _J^ 331. 3 330. 9 318. 4 317.8

306. 6 306 . 0 296. 3 287. 1 286. 7

2 79. 0 279.3

271. 3 271.9

263. 9 265. 1 257. 8 258.2

251. 3 252.4

245. 1 246.7

239. 1 241.0

232. 9 235.3

227. 0 229.2

221. 3 223.4

215. 5 217.9

209. 3 212.2

* BETWEEN-LABORATORY

* MEAN STD DEV

330.90 .36

317.89 .53

306.14 .38

295.72 .70

286. 57 .59

278. 50 1.14

271.14 .86

264.06 .99

257.61 .77

251.37 .95

245.69 .87

239.82 1.03

234.10 1.18

228.09 1.10

222.40 1.04

216.67 1.20

211.08 1.52

STANDARD DEVIATION - DEGREES

FREQUENCY* WITHIN-LABORATORY *ALL LABs'' MHZ * LAB 1 LAB 2 LAB 3 * POOLED

200. .17 . 26 .10 . 19

300. . 14 . 17 .32 .23

400. .17 .10 .29 .20

500. .33 .25 .24 .28

600. .43 .32 .52 .43

700. .42 . 08 .55 .40

800. .49 .24 .05 .32

900. .68 .59 .08 .52

1000. .70 . 17 . 13

1100. .59 .39 .61 .54

1200. .81 .47 .64 .65

1300. .85 .80 .54 .74

1400. .97 .52 . 24 .65

1500. .98 .82 .31 .76

1600. 1.45 . 47 .43 ****

1700. 1.23 .47 .34 . 78

1800. .88 .66 .17 .64

a Data from Laboratories 4 and 5 were omitted from this

analysis; Laboratories 1, 2 and 3 used nearly identical

calibration procedures

b Pooled values of within- laboratory standard deviation

are given only when the laboratory variances satisfy

Cochran's test for homogeneity of variance at the 1% level of significance; i.e., when the largest variance

is less than or equal to 0.833S times the sum of the

variances

\ 43
APPFNPiy

Table t2] . Summary of S-papameteps of transistor 2N?960(f)

MEASURED IN PART I C I P/^NT ' S TRANSISTOR FIXTURE

Data FROM FIVE LABORATORIES

MEAN VALUES, 5 LABORATOFIES

FREQUENCY SI 1 S21 S12 S22

MHZ MAG PHASE MAG PHASE MAG PHASE MAG PHASE

200. .513 311.9 3.19 104.8 .121 59. 8 .667 326. 5 300. .430 301. 3 2.38 91.4 . 160 55.4 .621 320.2

40 0. .380 294.4 1.93 80.9 . 195 51.3 .5 98 312. 9 500. .317 285. 9 1.64 72 .2 .224 47.4 .576 305. 5 600. .299 275.8 1.44 64. 8 . 249 43.6 .5 67 298. 5 70 0. .274 271 1.30 57.9 .265 40. 9 .550 292. 1 800. .229 257. 0 1.18 51.5 .284 37.7 .5 46 286.1

900. .249 250.3 1.09 46.2 .292 35. 3 .552 279. 5 1000. .230 251.8 1.02 40.9 .304 33.5 .551 273.9

1100. .199 232 .9 .96 36 .0 .312 31.3 .553 267.3

1200. .232 229. 6 .90 31.6 .317 29.6 .561 261.3

1300. . 199 231. 5 .85 27.6 .322 28.7 .565 256. 3 140 0. .191 2 03. 5 .8 1 24.3 .327 27.7 .5 68 251.3

1500. .229 209. 1 .78 20.9 . 329 27.5 .5 83 246.6

1600. .195 214.7 .74 18 .4 .335 2 7. 1 .591 243. 1 1700. . 192 183. 3 .71 15.7 .336 26.6 .5 93 237.4

1800. .234 188.4 .68 13.2 .340 26.3 .6 10 231. 8

BETWEEN-LABORATORY STANDARD DEVIATION

Sll S21 S12 S22

FREQUENCY MAG PHASE MAG PHASE MAG PHASE MAG PHASE

MHZ PCT DEG PCT DEG PC T DEG PCT DEG

2 00. 9.33 2.12 6.61 2 . 48 1. 07 1 .25 3. 98 1. 05

3 00. 3.32 . bS 3.69 97 2. 63 .85 2. 34 2. 27

400. 8.01 3.41 2.83 52 1. 48 .36 2. 78 1. 57

500. 7.83 2. 16 2.17 46 1. 73 .91 2. 25 1. 25

600 . 7 .06 2.11 1.90 78 1. 97 .91 2. 94 1. 95

700. 6. 50 7. 36 1. 72 90 2. 78 1.39 4. 79 2. 64

8 00. 21. 79 7.69 1.87 27 2. 44 .48 5. 70 2. 36

900. 9. 64 6.43 1.89 32 2. 15 .60 4. 70 2. 26

10 00. 8 .43 13.15 2.49 40 2. 39 .47 4. 80 1. 97

1100. 24. 12 14.85 2.o2 41 3. 16 .51 6. 49 2. 31

1200. 23.44 8.41 2.61 64 2. 26 1.05 5. 20 2. 72

13 00. 7.38 17.95 2. 16 35 3. 6b .83 6. 68 1. 98

1400. 13. 82 31.47 2.95 34 3. 60 .41 8. 91 2. 05

1500. 28 .91 9.52 2.56 37 3. 48 .27 7. 56 1. 80

1600. 3.91 22.96 2.85 47 3. 66 .41 6. 08 1. 33

1700. 8. 69 34. 19 3. 23 52 4. 04 .61 5. 54 2. 06

1800. 45.88 9.02 3.42 1. 18 2. 97 1.07 2. 59 2. 73

a Relative standard deviation of S-parameter magnitude

measurements; standard deviation of phase measurements.

44
/iPPFNDiy

Table PH, Sufimary of S-papai^etfrs of tpansistop 2f!?96n(F)

MEASURED IN PARTICIPANT'S TRANSISTOR FIXTURE

V^P = 5V, = 2.5 mA

Data from thpee^ laboratories

MEAN VALUES, 3 LABORATORIES

r rv t UU tiN U T Sll S21 S12 S22

MU 7 MAP DLJ A C r n t

U A P n A r n A b t U A P n A b

D U A C C r H AC) t n Ab PHASE

111 9 •3D . I J i U D • V 19 1 . 1 <C i An 9 A 7Q 326. 3 inn J. 1 ^ Jul . H G 1 Q 1 A rt • i o U 5 D . 3

A 90 319. 1 9 Q 1 1 i Q 1 oU£3 A Q • V

c 1 Q

i> i • i . AHA 6 UU 312. 1 .331 285. 1

11 .63 72.4 . 223 47. 5 .5 82 304. 9 60 0. .299 276.9 1 .43 65.0 .247 43.4 .572 297. 9 700. . 283 268.4 1 . 30 58.2 .262 41.2 . 5 66 290. 9 800. .258 261.0 1 .17 51 .6 .285 37.7 .563 285. 2 900. .249 254.3 1 .09 46. 1 .291 35.2 .566 278. 8 1000. .240 248.2 1 .02 40.8 .302 33.3 .568 273. 3 1100. .227 242.0 .96 36 .2 . 309 31.3 .5 75 267. 2 1200. .215 235.6 .90 31.8 .315 29.6 .5 80 261. 6 1300. .2 06 227. 9 .85 27.7 .320 28.6 .588 256. 4 1400. .204 221 . 5 .81 24.2 .324 27. 7 .598 252. 2 1500. .200 215.9 .78 20.9 .326 2 7.5 .6 09 247. 5 1600. .194 210. 3 .74 18. 5 .331 27.4 .6 12 243. 5 1700. .182 203.0 .72 15.9 .329 27. 1 .6 12 238. 8 1800. .176 194. 1 .68 13.8 .335 26.9 .617 233. 6

between-laboratopy standard deviation*^

Sll S21 S12 S22

FREQUENCY MAG PHASE MAG PHASE MAG PHASE M AG PHASE

MHZ pct DEG PCT DEG PCT DEG PCT DEG

200. 6.38 1.50 8.19 2 .40 .57 1 .07 2. 31 1.44

300. 3.57 .40 3.06 1 . 15 1.98 1 .18 2. 26 1.24

400. 4.28 .76 2.09 . 70 1.19 .50 3. 02 1.10

5 00. 5.83 .45 2.02 . 50 1.83 1 .12 1. 98 1. 32

600. 5.45 .69 1.71 1 . 03 2.41 1 .25 3. 01 2.33

7 00. 5. 12 .90 1.15 1 . 02 3.09 1 .81 2. 41 2. 95

800. 3.76 1.08 1.51 . 10 2.91 .40 4. 64 2.78

9 00. 3.79 .50 1.55 .40 2.49 .79 4. 16 2. 83

1000. 5. 79 .90 2.63 .45 2.80 .56 3. 11 2.56

1100. 6.70 1.37 3.08 .42 3.59 .72 2. 96 2.81

1200. 7.27 2.93 3.53 .65 2.83 1 .35 2. 40 3. 16 1300. 6.81 2.80 2.98 . 47 4.93 1 .15 2. 93 2.72

1400. 5.19 2.05 4. 12 . 44 4. 87 .53 3. 11 1.69

1500. 1 .32 1.50 3.49 .45 4.67 .35 3. 86 1. 00

16 00. 3.65 .98 3.73 . 60 4. 73 .23 3. 04 . 70

1700. 6.24 3.37 4.36 .56 4.45 .23 2. 46 .95

1800. 3.70 5.89 4.42 . 84 3.06 .53 2. 63 1. 12

a Data from Laboratories 4 and 5 were omitted from this

analysis; Laboratories 1, 2 and 3 used nearly identical

calibration procedures.

b Relative standard deviation of S-parameter magnitude

measurements; standard deviation of phase measurements.

45
APPENDIX

Table A23. Summary of S-parameters of transistor 2N709(g)

MEASURED IN PARTICIPANT'S TRANSISTOR FIXTURE.

^CE

= Ie = 2.5 mA

A. Data from five laboratories

MEAN VALUESt 5 LAbORATORIES

FREQUENCY SI I S21 S 12 S22

MHZ MAG PHASE MAG PHASE MAG PHASE MAo PHASE

200. .361 281.9 2.13 91.4 . 062 5t. 1 . 769 338.7

3U0. .339 265. 0 1.50 78.5 .07b 52.8 .759 332.9

400. .332 252. 6 1. 18 68.3 .091 51.3 .762 325.8

500. .325 237.3 .97 58.6 . 102 50.6 .7o7 318.4

600. .347 226. 3 . 83 51 .2 . 109 50.8 .770 310.9

700. .34o 216.8 .73 44.2 .113 52.7 .7 62 303. 8 800. .3b4 204.0 .64 37.6 .120 54.3 . 769 296.9

900. .388 198. 3 .57 33.0 .125 5 7.4 .7 79 289.6

1000. .371 191.5 .51 28.6 .133 62. 1 . 7c37 28 3. 2 BET WE EN-LABOR AT UK

STANDARD DEVIATION a Sll S 21 S12 S22

FREQUENCY MAG PHASE MAG PHASE MAG PHASE MAG PHASE

MHZ PCT DEG PCT U£G PCT DEG PCT DEG

2 00. 10.25 1.82 3.4 5 1.61 1.43 1.37 2. 25 .64

3 00. 1.13 1.54 2.58 .72 2.54 1.01 .97 1.70

400. 2.59 4.68 2.08 . 78 1.53 .85 1. 38 1.21

500. 5.52 2.03 1.34 .99 1.51 1.35 1. 69 . 90

600. 4.01 1.83 .83 1.24 1.55 1.63 1. 59 1.43

700. 5.41 1.37 1.28 I. 7b 1. 50 2.15 3. 83 1.83

dUO. 1 .80 8.21 1.34 . 96 2.06 .72 3. 64 l.8t) 9 00. 5.89 2. b3 2.30 1. 30 1.91 .99 3.07 2. 12

I )00. 9.06 1.80 3.24 1. 73 1.04 1 .<t6 4. 83 2.57

B. Data from three'' laboratories

MEAN VALUES, 3 LABORATORIES

FREQUBJCY Sll S21 S12 S22

MHZ MAG PHASE MAG PHASE MAG PHASE MAG PHASE

20 0. .379 282.9 2.10 92.3 .061 54.6 .777 338.7

300. .340 266. 5 1. 50 78.9 . 078 52.9 .762 332.4

400. .329 251.4 1.18 68.5 .091 51.2 .7 60 325.6

500. .332 238. 5 .97 59.2 .101 50.9 .771 318.6

600. .341 227. 1 .83 51.7 . 108 51.3 .770 311.2

700. .354 217.0 .73 45.1 .114 53.4 .771 30 3.9

800. .364 208. 5 .64 38.0 . 121 54.7 .777 297.2

900. .375 200.1 .58 33.6 .125 57.8 .7 84 290.2

1000. . 380 192. 5 .52 29.2 .132 62.6 .798 284.1

BETWEEN-LABORATORY STANDARD DEVIATION^

Sll S21 S12 522

FREQUENCY MAG PHASE MAG PHASE MAG PHASE MAG PHASE

MHZ PCT DEG PCT DEG PCT DEG PCT DEG

2 00. 2 .25 1.85 3.47 1.11 .91 1 .30 .97 .86

300. 1 .48 1.17 1.23 . 51 1.84 1 .39 . 75 1. 01 400. 3 .00 .78 1.25 .80 .88 1 .00 1. 79 .59

500. 2 . 80 1.80 .92 . 59 1.44 1 .76 2.16 .81

6 00. 2 .77 1.80 .69 1.29 1.56 1 .87 2.21 1. 76

700. 1 .27 1.10 .48 1.69 1.61 2 .69 3. 19 2. 16

800. 1 .92 .46 1.33 .25 2.12 .32 3. 23 2.06

900. 1 .48 .46 1.56 .87 2.53 .21 3. 06 2.31

1000. 1 .45 .23 3.37 . 68 1.39 .98 4.63 2.36

a Relative standard deviation of S-parameter magnitude

measurements; standard deviation of phase measurements.

b Data from Laboratories 4 and 5 were omitted from this

analysis; Laboratories 1, 2 and 3 used nearly identical

calibration procedures

46
appendix

Table A2^. Summary of S-parameters of transistor 2N918(a)

measured in participant's transistor fixture.

^CE "^E " 2.5 m/^

A. Data from five laboratories

MEAN VALUESf 5 LABORATORIES

FREQUENCY Sll S21 S12 S22

MHZ MAG PHASE MAG PHASE MAG PHASE MAG PHASE

200. .4 8o 308.4 2.37 100.5 .052 64.2 .8 71 348.4

300. .421 293. 5 1.71 89.2 . 068 61.1 .856 34 5.4

400. .374 281.3 1.38 80.5 .083 58.4 .8 50 341. 8 500. .315 266. 8 1.16 72. 1 . 094 57.0 .848 338. 1 600. .298 252.9 1.01 65.1 .105 55.4 .8 42 333.9

70 0. .267 242. 3 .91 58.8 .112 55.6 .8 22 330. 3 800. .248 222.9 .82 51.8 . 121 54. 8 .820 326.4

900. .256 214.6 .75 47.1 .127 55.0 .8 23 322.2

1000. .222 206. 8 . 69 41. 5 .133 57.0 .8 18 318.3

BETWEEN -LABORATORY STANDARD DEVIATION

Sll 521 S12 S22

FREQUENCY MAG PHASE MAG PHASE MAG PHASE MAG PHASE

MHZ pct DEC PCT DEG PCT DEG PCT DEG

2 00. 8.47 1.58 4.95 1. 99 2.13 1 .30 1 . 36 .69

3 00. 2. 13 1.26 4.55 . b6 2.9t) . 93 . 77 1. 22 400. 4.58 3.39 4.18 .68 1.84 .76 1. 15 1. 03

500. 8. 52 1. 14 3. 27 . 88 1.88 1 .09 1. 65 1.04

6 00. 5 .02 2.72 2.72 1. 14 2. 13 1.32 1. 56 1. 12 700. 8.03 4.36 3.31 1.66 1.21 2.59 3. 19 1.35

8 00. 8.73 12.82 2.75 . 87 1.79 1 .05 1. 90 1. 19

9 00. 7.86 6.26 3.05 1.40 1.28 .85 1. 96 1. 36

1000. 18. 07 5. 87 3. 82 1. 31 1. 84 .70 3. 06 1.29

B. Data from three laboratories

MEAN VALUES, 3 LABORATORIES

FREQUENCY Sl 1 S21 S12 S22

MHZ MAG PHASE MAG PHASE MAG PHASE MAG PHASE

200. .505 308. 0 2.33 101.6 .051 6 4.7 8 76 348. 1 300. .425 294.4 1.71 89. 7 . 068 61.3 858 344.7

40 0. .368 280. 4 1.37 80.8 .082 58.4 847 341.4

500. .327 267. 3 1. 15 72.7 . 093 57.4 8 52 337. 8 600. .297 254.6 1.01 65.8 .103 55.8 8 43 333. 5 700. .277 241. 8 .91 59.8 .112 56.3 8 29 329.6

800. .257 230. 1 .82 52.3 .121 55.2 8 23 325. 8 900. .247 218.9 .75 48.0 .126 55. 1 8 24 321. 8 1000. .235 207. 9 .69 42.2 . 133 57.4 8 25 318.2

BETWEEN-LABORATORY STANDARD DEVIATION ^ Sll S21 S12 S22

FREQUENCY MAG PHASE MAG PHASE MAG PHASE MAG PHASE

MHZ PCT DEG PCT DEG PCT DEG PCT DEG

200. 1. 54 1.01 5. 50 1.30 .91 1 .46 . 69 . 70

300. 1 .87 .76 3. 18 .47 1 .46 1 .18 . 79 .92

400. 4.02 .23 3. 02 .72 .41 1 .07 1.29 1. 18

5 00. 5.90 .95 2. 82 . 30 1 . 59 1 .21 2. 13 1. 14

6 00. 6.42 1.46 2. 68 1.01 1 .97 1 .65 2. 15 . 50

700. 4- 80 2.31 2. 03 1.34 .49 3 .41 3. 03 1.01

8 00. 5.07 1.75 2. 44 .72 2 .02 1 .31 2. 09 .21

9 00. 6.08 2.00 2. 52 . 86 .51 1 .07 2. 69 . 86

1000. 6.81 2.99 2. 49 1. 07 1 . 37 .46 2. 94 .80

a Relative standard deviation of S-parameter magnitude

measurements ; standard deviation of phase measurements

b Data from Laboratories 4 and 5 were omitted from this

analysis; Laboratories 1, 2 and 3 used nearly identical

calibration procedures

47
REFERENCES

1. Sawyer, D.E., Rogers, G.J., and Huntley, L.E., Measurement of Transit Time

and Related Transistor Characteristics, Air Force Weapons Laboratory Report

AFWL-TR-73-54 (October 1973). Available from National Technical Information

Service, Springfield, Virginia 22151, Accession No. 914528.

2. Oliver, B.M. and Cage, J.M., EZectronio Measurements and Instrumentation,

pp. 673-678. (McGraw-Hill, New York, 1971).

3. Kerns, D.M., Definitions of v, i, Z, Y, a, b, X , and S, Proa. IEEE 55,

892-900 (1967) .

4. Dixon, W.J. and Massey, F.J., Introduction to Statistical Analysis,

pp. 105-107, 147 (McGraw-Hill, New York, 1951).

5. Kerns, D.M. and Beatty, R.W., Basic Theory of Waveguide Junctions and

Introductory Microwave Network Analysis, pp. 73-83 (Pergamon Press, New York, 1967.)

48
(S-114A (REV. 7-73)

U.S. DEPT. OF COMM. 1. pi |i| |( ..\ | [o^ ( )]< Ki:POK|- 2. Cov 't Acccs.sion BIBLIOGRAPHIC DATA N<>. SHEET NBS SP-400-5

•rri Li- AND suivi n 1.1 Semiconductor Measurement Technology:

Measurement of Transistor Scattering Parameters

5. Pub! leat ion D.ite January 1975

6. Performing Organization ( ode

AU'I'HOR(S)

George J. Rogers, David E. Sawyer, Ramon L. Jesch

8. Performing Organ. Report No.

PKKI-ORMINC, ORCANIZATION NA.MK AND ADDRESS

NATinNAI BUREAU OF STAhJDARDS

DEPARTMENT OF COMMERCE

WASHINGTON, D.C. 20234

10. Proieet/Task/W'ork- Unit No.

11. C'ontraet /Grant No. AFWL PO-73-068

. Sponsoring Organization Name and C omplete Address (Street, City. State, ZIP)

Air Force Weapons Laboratory (ELF)

Kirtland Air Force Base

New Mexico, 87117

13. Type of Rejiort & Period Covered Final

9/1/72 to 7/1/73

14. Sponsoring Ageney ( ode

. sui^pli-:mi-ntary noti-;s Also supported by the National Bureau o£ Standards, project 4252128.

. abstract (A 200-word or less factual summary of most significant information. If document includes a significant

bibliography or literature survey, mention it here.) Results of an interlaboratory comparison of transistor scatteringparameter measurements are reported for transistor types 2N709, 2N918

and 2N3960 . From these results it is estimated that, for such devices,

between- laboratory variability of transistor S-parameter measurements

in the frequency range between 200 and 2000 MHz could be held to a maximum relative sample standard deviation of 7.5 percent in the measure

ment of magnitude and a maximum sample standard deviation of 8 degrees

in the measurement of phase of s,, and 3.5 degrees in the measurement

of phase of other S parameters. This could be done if all participants

were required to use the same calibration procedure and to limit their

test signal to a level that would assure small-signal operation. In a separate study, the equivalent circuit of high-frequency probes used in

characterizing the parameters of integrated circuits was evaluated by

measuring S parameters at the input connectors with the probe tips in

j contact with known loads. These measurements revealed a resonance

I which would limit the usefulness of the probes for measurements in the

' vicinity of 1.2 GHz. Work is underway to determine design changes

i needed to eliminate this resonance.

KHY WORDS (six to twelve entries; alphabetical order; capitalize only the first letter of the first key word unless a proper name; separated by semicolons ) Electronics; high-frequency probes; interlaboratory

comparison; scattering parameters; S parameters; transistors

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