HP AN8510 13_Measuring Non Insert Able Devices
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Transcript of HP AN8510 13_Measuring Non Insert Able Devices
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Meas uring Non inse rtable
Devices
Product Note 8510-13
A new techn ique formeasuring componentsusing the HP 8510CNetwork Analyzer
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Introduct ionThe m ajority of devices used in
rea l-world microwave system s ar e
noninsert able because of the connec-tors employed. In the past , these
devices were theoretically not
measur able meaning that fully
tr aceable and verifiable dat a could
not be pr ovided. Now th e HP 8510C
with an S-para meter t est set offers
a new technique tha t provides
accur acy rivaling the best insert able
device measu rem ents. This note
reviews var ious m ethods used to
calibra te th e network an alyzer for
measur ement of noninsertable
devices and compa res th e results
an d uncerta inties of each meth od.
As shown in Figure 1, for a test
device to be insertable, both connec-
tors m ust be of the sam e connector
family, with one connector male,
and t he other female. When the test
device is inserta ble, th en th e mea-
sur ement port s can be connected
together t o establish the t hru
connection during tr ans mission
calibration. The configuration of
the measur ement test setup need
not be changed between tra nsmis-
sion calibra tion and actua lmeas ur ement of the test device.
Figure 1. Classes of Device Un derTest (DUT). For inser table devices,Port 1 connector t ype will mat e withPort 2 connector type. For reversibledevices, the same sex of the sa meconnector family are u sed on both Port1 and Port 2. Transitional devices useconn ectors of different families onPort 1 and P ort 2.
There a re two gener al types of
noninsert able test devices. The first ,
and probably the most prevalent,
is the reversible type of device.
A reversible device is one tha t h as
both connectors of the s am e family
and sex. Note th at devices with
herm aphr oditic connectors, like
precision 7 mm, are both inser ta ble
and reversible. The second cat egory
of noniserta ble devices is th e
tra nsitional type. With t ran sitional
devices, the connectors are of
different families, such as coaxialand wa veguide.
In t erms of measurement accura cy
and convenience, it would be desir-
able if all pur ely coaxial microwave
modules an d cables were configuredto be insert able. In systems using
coaxial cable to inter connect the
modules and subsystem s, it is
comm on for cables to use a ma le
connector on both en ds an d for t he
modules to u se female connectors
on all their port s. Often the design-
er is faced with the sam e measur e-
ment problem due to the fact
th at t he device by natu re is not
insertable becau se it is a coaxial to
waveguide tran sition. These non-
insert able configur at ions lead t o
test ing problems because t he deviceunder test m easurement specifica-
tions ar e seriously compr omised.
Why poorer specifications? Sim ply,
th e device cannot be inserted in t he
measur ement system using the
identical configur at ion in which t he
measur ing system alone was
calibra ted. The difference in s ystem
configur at ion between calibra tion
and measu rement pr oduces an
uncert aint y in the accuracy of the
results tha t can only be treated as
a ra ndom error ha ving an un knownmagnitude and pha se. This must
resu lt in an increa se in the specifi-
cation guardband causing unneces-
sary rejects, increased testing and
ana lysis time, and u ltimately an
increase in the cost of the device.
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Accuracy EnhancementAt microwave frequencies system -
atic effects such a s leaka ge, test
port mismatch, and frequencyresponse will produce uncerta inties
in the mea sur ed data . However, in a
stable measurement environment
these effects are repeatable and
can be measur ed by the net work
analyzer. This process is called
measurement calibrat ion. During
measurement calibrat ion a series
of known devices (stan dar ds) are
connected to the test ports a nd
measu red. The system atic effects
are determined as the difference
between the measur ed and the
known, or modeled, responses ofthe st an dar ds. Now the device
under test is measur ed. The
accuracy enhancement algorithm
uses an err or model of the n etwork
analyzer system to ma themat ically
relate these err ors t o the results of
the device measur ement an d thus
obtain values for the actua l
responses of the DUT.
Under ideal conditions, with per-
fectly known standards, systematic
effects would be complet ely cha ra c-
terized an d rem oved. The accur acyto which these standa rds a re known
establishes h ow well these s ystem-
atic errors can be cha ra cterized an d
removed. In fact, a well esta blished
figure of merit for a calibrat ed
system is the ma gnitude of the
residual systematic errors. These
residua l errors ar e the portion of
the uncorrected systematic errors
tha t r emain because of imperfect
modeling of the a ctual r esponse of
the calibration standar ds.
Error Mode lVector error correction techniques
can grea tly redu ce the effects of
directivity, crosstalk, source ma tch,and frequen cy response errors a s
well as t he mismat ch u ncerta inties
caused by the vector int era ction of
the input and output impedance of
the DUT with t he imperfect
source and load mat ch of the
measuring system. The HP 8510
12-term calibration and measur e-
ment model provides the h ighestaccur acy in comm on use t oday
(Figur e 2). This 12-term err or model
is used in both t he FULL 2-PORT
and th e TRL 2-PORT calibration
types offered in th e HP 8510C.
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Figu re 2. 12-Term Erro r Model. The m ost sophisticated l2-term error m odel isrequired to account for t ran smission a nd reflection signal pa th r esponse andleakages, source and load mismat ch effects in tra nsmission measur ements, an dthe effect of an imperfect t ermina tion in reflection m easur ements.
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The Ideal CaseThe ideal case for m easur ement of a
2-port device provides best accuracy
an d complete tr aceable and verifi-able data (Figur e 3). This calibra -
tion pr ocedure uses an S-para meter
test set to measure an insertable
device. Steps 1 and 2 mea sur e
separ ate er ror ter ms for directivity,
source mat ch, and r eflection signal
pat h frequen cy response for both
test ports. Transm ission isolation is
measur ed with both ports t erminat-
ed. In step 3, the test ports are
connected together t o ma ke th e
thru a nd then measure separate
error term s for forward and r everse
load m atch and tra nsmission signalpat h frequency response.
Since the Port 1 and P ort 2 connec-
tion to accomplish th e thr u is th e
same a s will be used during the
meas ur ement , all error coefficientscan be obtained directly.
With the device connected, step 4,
the st imulus is applied to Port 1
and the forward par ameters, Sat
and Sol, are measu red. Then the
stimu lus is applied to Port 2 an d
the reverse parameter s, 522 and
Sir, are m easured. These measured
values, along with th e error t erms,
are used in the accuracy enhance-
ment algorithm to find the a ctual
device parameters with greatly
reduced uncerta inty.
In this application the thru does
not actua lly repr esent a ny specific
device, or th e special case of an
absence of any device at all. Thisis a basic principle of tran smission
measurement calibrat ion. The
tr ans mission reference is a zero-
length, zero-loss t ra nsm ission line.
Essen tially, Port 1 of the t est set is
connected directly to Port 2 of the
test set, then the ports ar e separat-
ed and t he device to be tested is
insert ed. Past pr actice has allowed
complete performance verification
with verifiable and t ra ceable speci-
fications only when t his is th e case.
If the device under test is notinsertable, then it is necessary to
use some sort of thr u device in order
to accomplish th e conn ection for
measurement of tran smission
response and load ma tch. This is
the pr oblem. With t he 12-term
calibrat ion procedur e, the thr u
connection is used to measur e the
tra nsmission signal path frequency
response and t he impedan ce of the
retu rn port . But what good does it
do to measu re th e frequency
response and load match error
terms when th e wrong adapter isinsta lled? During calibration, the
thru device is measured but it is
removed or chan ged for the a ctual
device measurement.
Due to impr ovement s in the
hardwar e and calibrat ion t ech-
niques, ther e are ways t o achieve
measurement results with accura cy
very near t o that wh ich is achiev-
able with t he ideal inserta ble case.
Now we will exam ine common
techniques for m easurement of
noninsert able devices and th e newHP 8510C adapter removal method.
4
Figure 3. Ideal Case-2-Port Cal. Measurem ent of insert able devise using anS-param eter (two-path ) test set is the ideal case. All error terms can be measu redwith th e correct t est port connectors in place, and the device under test does notrequire physical reversal.
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Case 2
Mode ling the N on -Zero
ThruIf the char acterist ics of the thr u
device are k nown, acceptable m ea-
sur ement s can be made by modeling
the effect that t he thr u device has
upon m easurement of the system
err ors. In this met hod the difference
between t he connection used for
tr ans mission calibrat ion an d for
conn ection of th e DUT is m odeled
into a delay/thru t ype standard of
the H P calibrat ion kit definition by
specifying the insertion loss, electri-
cal length, an d impedance chara c-
terist ics of the thr u. If th e
delay/thr u model is exact, then th e
effect of the chan ge to the t est port s
is removed from th e error ter ms.
This technique can be very effective
if the magnitude, phase, and
impedance of the thr u connection is
modeled very a ccur ately, but ma y
not pr ovide su fficient corr ection of
the actua l effect of th e non-zero
thru u pon the magnitude and phase
of th e forwar d an d reverse load
ma tch term s. This will produce
errors in t he measu rement of lowloss devices.
Case 3
Complete Noninsertable
CalibrationThe m ost complete an d effective
calibrat ion procedure for nonin-
sert able devices is called adapter
removal. This technique (Figure 6)
requires an adapter that has the
sam e connector types a s th e device
under test a nd calibration stan -
dar ds for both connector t ypes. The
electr ical length of the ada pter
need only be specified within 1/4
wavelength a t ea ch frequency. The
current Hewlett-Packard Type-N,
3.5 mm , and 2.4 mm calibration kits
ar e supplied with t he in-fam ily
ada pters a lready defined for u se in
the adapter removal procedure. In
order to use any oth er ada pter, such
as a waveguide to coaxial tr ans i-
tion, the adapt er mu st be specified
as described in the box inset,
Specify the a dapt er, on pa ge 8.
The adapter removal algorithm uses
the r esults of the two cal sets a long
with th e nominal electr ical length of
the adapt er to compute t he actualS-para meters of the adapter. This
data is used to generate a separ ate
thir d cal set in which th e forwar d
and reverse match and tr acking
terms a re as if Port 1 an d Port 2
could actually be connected. This
is possible because th e actua l
S-para meters of the adapt er are
measu red with great accur acy,
allowing the effects of the ada pter
to be completely rem oved when th e
third cal set is generated.
6
Figure 6. Adapte r Removal Calibration. A 2-Port calibration (either F ULL 2-PORT or TRL 2-PORT) for each port , along with kn owledge of the nomin al lengthof the adapter, allow complete removal of the effects of the adapter from the errorcoefficient set.
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Perform the 2-PortCalibrationsTwo 2-Port calibrations ar e per-
form ed, first with t he ada pterconnected to Port 2, then with th e
ada pter connected to Port 1. The
resu lt of each calibration is stored
in a separ ate cal set. Note th at both
of th ese calibra tions are per form ed
using t he ideal zero-length, zero-
loss t hr u connection.
If the device ha s a waveguide port
and a coaxial port , there is an addi-
tional considera tion. For a typical
waveguide calibrat ion t he SET Z 0function u nder t he CAL menu is set
to 1; for th e typical coax calibra tionthe SET Z 0 function is set t o 50.
Be certain that the correct value
is enter ed before beginning ea ch
calibrat ion an d, if the Smith char t
is used, for impedance measu re-
ment a t th e appropriate ports of
the DUT.
Modify and Sa vethe New Cal SetWhen th e calibrat ions a re complete,
press CAL, MORE, MODIFY CAL
SET, then ADAPTER REMOVAL.
Now press CAL SET for PORT 1and specify the cal set u sed to store
the Port 1 calibration results; then
press CAL SET for PORT 2 and
specify the cal set u sed to store th e
Port 2 calibration result s. Next
specify the cal k it which contains
the definition of the adapt er by
pressing t he softkey labeled with
the cal kit n am e. Finally, press
MODIF Y & SAVE then specify a
separ at e cal set to contain th e new
err or coefficients. Th e er ror coeffi-
cients will be computed a nd st ored,
corr ection is tur ned on, and err or-corr ected data is displayed.
Verify th e CalibrationFollowing th e mu ltiple calibrat ions
and the a dapter r emoval procedure,
verify th e a ccur acy of the calibra-tions and the adapter removal algo-
rithm by measur ing the adapter.
Because th e adapter used during
calibrat ion has been math ematical-
ly removed from t he er ror coeffi-
cient set, the m easurement should
accurat ely represent t he actual
response of the a dapt er. This step
serves as a verificat ion of the
calibrat ion. If unexpected phas e
variat ions show up in the response
of the a dapt er (such as shown in
par t B of Figure 7) it is a sign th at
the electrical delay of the a dapt erwas n ot specified closely enough in
the cal kit definition.
Fortu nat ely, if the adapt er length
ha s n ot been s pecified corr ectly, it
is not necessar y to repeat th e two
2-Port calibrat ions. Simply chan ge
the ada pter offset delay specifica-
tion in the cal kit definition t o the
correct value and then repeat th e
menu sequence under adapter
removal.
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Figure 7. Measu remen t of AdapterAfter Adapter Remo val. Par t A showsthe insertion phase of the ada pter afteradapt er removal. Par t B shows unex-pected phase tra nsitions which will bepresent if the electrical delay of theadapt er is not specified within 1/4wavelength at each frequency.
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Spec ify the AdapterIt is importa nt t o recognize th at t he
nominal electr ical delay of th e ada pter
mu st be k nown within 1/4 wavelengthat ea ch measur ement frequency. The
electrical delay of the ada pter mu st be
known because the adapter removal
cal-culat ions include tak ing a squar e root
of a complex number. In order to deter-
mine t he correct sign of the r oot, th e
algorithm u ses the adapter length t o
place the result in the correct quadrant.
The a dapt er s electrical length mu st be
enter ed into one of the H P 8510 cal kit
definitions.
Measure the AdapterMeasur e th e nominal electrical delay of
th e ada pter as follows:
1. With Port 1 configured so that t he
ada pter ma y be connected, perform a
simple Sat Response calibration at Port
1 desire a sh ort circuit.
2. Connect the adapter to Port 1 and
terminate th e adapter with a short
circuit.
3. Measur e the electr ical delay of the
adapter. Select PHASE, RESPONSE
MENU , ELECTRICAL DELAY,
th en a djust electr ical delay to achieve
a flat t ra ce. If th e adapt er is a wave-
guide device, select waveguide d elay
an d enter t he corr ect cutoff frequency.
One-half the meas ured electrical
delay value is the actu al nominal
length of th e adapt er. If the short
circuit used to terminate the adapter
is offset, rem ember t o subtra ct itselectrical length from the
measurement.
Modify the Cal Kit
Next, m odify one of th e cal kits t o
include this adapter definition as follows:
1. Select th e cal kit to include the
ada pter d efinition by pressing CAL ,
MORE, MODIFY .
2. Refer to th e cal kit St an dar d Assign-
ment ta ble in th e cal kit manua l and
choose an un used st an dar d, 20 forinstance. Press DEFINE STAN-
DARD , then enter 20, x1, then select
the sta ndard type by pressing
DELAY/THRU .
3. Ent er th e electr ical delay of the ada pt-
er by pressing SP ECIFY OFFS ET,
OFFS ET DE LAY, then entering the
value for electrical delay measured
above. If the a dapt er is a wa veguide
device, pr ess WAVEGUIDE , then
press MINIMUM FREQUE NCY
an d ent er t he cutoff frequen cy. Pr essSTD OFFSET DONE .
4. Next, enter a descriptive label for th e
adapter by pressing LABEL STAN-
DARD then using the knob and th e
Title menu. Pr ess TITLE DON E.
Now press STD DONE (DEFINED).
(It is not necessa ry to specify an y
oth er char acteristics of th e adap ter
except Offset Delay, Minimu m a nd
Maximum Fr equency, an d Coax or
Waveguide.)
5. Now press SP ECIFY CLASS ,
MORE, MORE, then SPECIFY:
ADAPTER and enter the s tandard
number of the adapt er, 20, x1.
Press CLASS DONE .
6. Enter an a ppropriate class label by
pressing LABEL CLASS, MORE,
MORE, ADAPTER then using the
Title menu .
7. Enter a n appr opriate label for th ecalibration kit by pressing LABEL
KIT an d defining the title using the
Title menu .
8. Finally, press KIT DONE (MODI-
FIED) to save th is new cal kit
definition
This cal kit is now ready to be used in
the adapter removal procedure.
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Results Using AdapterRemovalThe following plots sh ow compar -
isons of results obtained with va ri-ous techniques. Figure 8 is a way to
verify tha t th e adapter removal
algorith m works corr ectly. Fir st,
part (a) shows a 7 mm beaded air
line measured using the standar d
full 2-Port calibrat ion. The S21Frequency domain magnitude is a
typical r esponse for this type of
device. The S11 time band pass
domain measurement clearly shows
the internal beads that support th e
center conductor. Next, par t (b)
shows th e resu lts of two, 2-port
calibra tions combined us ing theadapter removal procedure, then
the sam e air line is measured.
Par t (c) shows measu rement of
the 7 mm to 7mm adapter used
in this sequence. It was m ade up
of a 7 mm to 3.5 mm m ale adap ter
connected t o a 3.5 mm fema le to
7 mm a dapter. Notice that it has
generally poorer retu rn loss and
a more complex intern al str ucture
than the air line.
9
Figure 8. 7 mm Bead less Airline Comparisons. Measur ements of this deviceusing (a) the sta ndar d full 2-Port calibrat ion a nd (b) the adapt er rem oval calibrat ionshow corresponding results in both th e frequency and t he t ime domains. Very closeagreement is shown even though the ada pter is generally poorer quality than t hedevice under t est. Pa rt (c) shows the S11 frequency and t ime band pass domainmeasurements of the adapter.
(a) Frequency and Time Band Pass Res ults , Standard Ful l 2-PortCalibrations.
(b) Frequency and Time Ban d P ass Resu lts , Adapter Removal Cal ibration.
(c) Frequency and Time Band Pass Results , Adapter used in (b)
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Figure 9 compar es measur ements of
a low-loss 3.5 mm r eversible device
ma de by connecting 7 mm t o 3.5
mm female adapters to the air lineused in Figur e 8. For th e first four
plots, the a ir line is measu red after
switching between t he very equal,
high qua lity 3.5 mm ma le to female
an d female to female ada pters in
th e HP 85052B 3.5 mm calibrat ion
kit. In th e second set of four plots,
the sa me device is measur ed using
the a dapter r emoval with the 3.5
mm female to female ada pter. Since
th e test device is stable and the
adapters are h igh quality, there ar e
only minor differences between th e
two sets of results. In pa rt icular,note th e difference in th e time
domain traces obtained using
adapter removal where t he load
ma tch effects a re not rem oved as
well using the swap equa l adapter
technique.
A technique n ot shown here was
investigated t hat involved a combi-
na tion of a 2-port calibration an d a
simpler 1-port calibrat ion t o mea-
sure an d remove the adapt er.
Compa rison of test resu lts showed
that the load mat ch term in th ereverse dir ection was typically 6 dB
worse tha n th e HP 8510C adapter
removal procedure. Further investi-
gation showed this 2-port/1-port
procedure no better th an using the
swap ada pter t echnique with good
adapters and tha t the results were
str ongly affected when the ada pterexhibited poor m at ch. The HP 8510C
ada pter r emoval procedur e shows
no such dependence upon the
adapter match.
Note tha t th e HP 8510C adapter
removal procedure pr oduces a fully
error-corrected measurement of the
2-port device. The mea sur ement
resu lts of th e HP 8510C ada pter
removal procedure ar e tra ceable
to the extent th at the calibration
sta nda rds us ed for both of the
2-port calibrat ions ar e tra ceable.The actual un certa inties of the m ea-
surement a fter the adapter removal
procedure can be determ ined using
the sta ndard techniques applied to
2-port calibrat ions. It is n ecessar y
to factor in th e errors du e to inaccu-
ra cies of the calibrat ion sta ndar ds
once for each calibration.
In some applicat ions th e adapt er
removal procedur e ma y be less con-
venient sin ce two 2-port calibra-
tions ar e requir ed. However,adapt er rem oval can pr ovide a new
level of confidence even if you
choose to use the less a ccur at e tech-
nique of swap equal ada pters t o
measure the device under test.
Becaus e adapt er r emoval provides
an exact measurement of the
adapters, you obtain a realistic
value for the difference between
their length , loss an d impedance.
So, for mea sur ement s tha t do not
require verifiable accuracy, ada pter
removal ma y allow you t o use less
accurate calibration methods in theactual device measurement but
with a better idea of the actual
effects of the n on-zero thr u.
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Figure 9. Comparin g Calibration Metho ds. Compar ison of results m easur ing a3.5 mm r eversible device (port 1 female port 2 fema le) using a two-path test set:(a) shows switching between high qua lity adapter s; (b) shows new a dapter removalprocedure. Since the switched ada pters a re equa l, there is little difference betweenthe results.
(a) Results after SwappingBetween Equal Adapters.
(b) Results after AdapterRemoval Procedure.
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For more informat ion aboutHewlett-Packard test and measure-m e n t p r o d u c t s , a p p l ic a t i o n s , s e r -v i ce s , and for a current sa l e s
of f i ce l i s t ing , v i s i t our web s i t e ,http://www.hp.com/go/tmdir. Youcan also contact one of the followingc e n t e r s a n d a s k f o r a t e s t a n dmeasurement sales representative .
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Data Subject to ChangeCopyrigh t 1997Hewlett-Packard CompanyPrin ted in U.S.A. 11/975956-4373E