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.

    2

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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.

    3

    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.

    7

    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.

    8

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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.

    10

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    11

    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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    Latin America:Hewlett-PackardLatin American Region Headquar ters5200 Blue La goon Dr ive, 9th F loorMiam i, Florida 33126, U.S.A.(305) 267 4245/4220

    Australia/New Zealand:Hewlett-Packard Australia Ltd.31-41 Joseph Str eetBlackburn, Victoria 3130, Australia1 800 629 485

    Asia Pacific:Hewlett-Packard Asia Pa cific Ltd.17-21/F Sh ell Tower, Times Squ ar e,1 Matheson Str eet, Causeway Bay,

    Hong KongTel: (852) 2599 7777Fa x: (852) 2506 9285

    Data Subject to ChangeCopyrigh t 1997Hewlett-Packard CompanyPrin ted in U.S.A. 11/975956-4373E