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    Netw ork Analysis

    Spe cifying cal ibrationstan dards for the HP 8510ne tw ork analyzer

    Product Note 8510-5A

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    Table of Conten ts

    Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3

    Mea su re men t Er rors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3Measu rem ent Calibr at ion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3

    Ca libr at ion Kit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .4

    Sta nda rd Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5

    Cla ss Ass ignm en t . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5

    Modi fica tio n P roc ed ure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7

    Select St an da rd s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7

    Define S ta nd ar ds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .8

    St an da rd Nu mb er . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9

    St an da rd Type . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9

    C0, Cl, C2 an d C3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9

    Short Circuit Indu ctan ce Lo Ll, L2 an d L3 . . . . . . . . . . . . . . . . . . . . . . . . . .11

    Fixe d or S lidin g . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .12

    Term ina l Im peda nce . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .12Offset Dela y . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .12

    Offset Z0 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .14

    Offset Loss . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .14

    Lower /Minim um Fr equ ency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .15

    Upper/Maximum Frequency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .16

    Coax or Wavegui de . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .16

    Sta nda rd L abels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .17

    Assign Cla sse s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .17

    Sta nda rd Cla sses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .17

    Sll

    A,B,C an d S22

    A,B,C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .18

    Forwa rd Tra nsm ission Mat ch/Thru . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .18

    Reverse Tran smiss ion Mat ch/Thru . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .18

    Isola tion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .19

    Fr equ en cy Respon se . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .19

    TRL T hr u . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .19

    TRL R eflect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .19

    TRL L ine . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .20

    Adap te r . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .20

    St an da rd C las s La bels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .20

    TRL O pt ions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .20

    Ca libr at ion Kit La bel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .21

    En ter Sta nda rds /Classes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .21

    Veri fy Per forma nce . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .21

    User Modified Cal Kits and HP 8510A Specifications . . . . . . . . . . . . . . . .22

    Modification Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .23

    Modelin g a Th ru Adap te r . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .23

    Modeling an Arbitr ar y Imp edan ce . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .23

    Appendix A

    Calibr at ion Kit En tr y Procedur e . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .23

    Appendix B

    Dimen sional Consider at ions In Coaxia l Connectors . . . . . . . . . . . . . . . . . . . . . .27

    2

    Known devices called calibration

    standar ds provide the measurement

    reference for network an alyzer error-

    corr ection. This not e covers m eth ods for

    specifying these standards and

    describes the procedures for t heir u se

    with th e HP 8510 network ana lyzer.

    The HP 8510 network ana lyzer system

    has the capability to make real-time

    error-corrected measur ement s of

    components and devices in a variety of

    transmission media. Fundamentally, all

    tha t is required is a set of known

    devices (standa rds) tha t can be defined

    physically or electrically and u sed to

    provide a reference for the physical

    interface of the test devices.

    Hewlett-Packar d supplies fullcalibration kits in 7mm, 3.5mm an d

    Type-N coaxial interfaces. The HP 8510

    system can be calibrated in other

    interfaces such as other coaxial types,

    waveguide and microstrip, given good

    quality standards t hat can be defined.

    The HP 8510s bu ilt-in flexibility for

    calibration kit definition allows th e user

    to derive a precise set of definitions for a

    particular set of calibration standards

    from precise physical mea surem ents.

    For example, the characteristic

    impedance of a ma tched impedan ce

    airline can be defined from its actu alphysical dimensions (diameter of outer

    and in ner conductors) and electrical

    chara cteristics (skin depth). Although

    the airline is designed to provide perfect

    signal tra nsmission at t he connection

    interface, the dimensions of individual

    airlines will vary somewha t-resulting in

    some reflection due t o the chan ge in

    impedance between t he test port a nd

    the a irline. By defining the a ctual

    impedance of the air line, the resu ltan t

    reflection is chara cterized and can be

    removed th rough measurement

    calibration.

    The scope of this product note includes a

    general description of the capabilities of

    the H P 8510 to accept new cal kit

    descriptions via the MODIFY CAL KIT

    function found in t he H P 8510 CAL

    menu. It does not, however, describe

    how to design a set of physical

    sta ndar ds. The selection and fabrication

    of appropriat e calibrat ion sta ndar ds is

    as varied as t he tra nsmission media of

    the pa rticular a pplicat ion an d is beyond

    the scope of this note.

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    This product note covers measu remen t calibration requiremen ts for

    th e HP 8510B n etwork a na lyzer. All of th e capa bilities described in

    th is note also apply to the H P 8510A with th e following exceptions:

    Response & Isolat ion calibra tion; Short circuit indu ctan ce; classassignments for forward/reverse isolation, TRL Thru, Reflect, Line

    an d Options; and Adapt er Removal.

    Measureme nt Errors

    Measur ement err ors in network an alysis can be separa ted into two

    categories: ran dom and systema tic errors. Both r an dom and

    systemat ic errors ar e vector quan tities. Ran dom errors are n on-

    repeatable measurement variations a nd are usually unpredictable.

    Systematic errors are r epeatable measur ement variations in the t est

    setup.

    Systemat ic errors include misma tch an d leakage signa ls in th e test

    setup, isolation cha ra cteristics between th e reference and test signa lpat hs, an d system frequency response. In most microwave

    measu remen ts, systemat ic errors a re th e most significan t source of

    measu remen t u ncertaint y. The sour ce of th ese errors can be

    at tribut ed to the signal separat ion scheme used.

    The systematic errors present in an S-param eter measurement can

    be modeled with a signa l flowgra ph. Th e flowgra ph m odel, which is

    used for er ror corr ection in t he H P 8510 for t he er rors a ssociated

    with mea sur ing the S -par am eters of a two port device, is shown in

    th e figure below.

    The six systemat ic errors in the forward direction

    ar e directivity, sour ce ma tch, reflection tr acking,

    load ma tch, tran smission tr acking and isolation.

    The r everse error m odel is a m irror image, giving

    a t otal of 12 err ors for t wo-port measu remen ts.

    The pr ocess of removing these systemat ic errors

    from the network ana lyzer S-par amet er

    measurement is called measurement calibration.

    E DF , E DR-Directivity E LF, E LR-Load Ma tch

    E SF , E SR-Source Match E TF, E TR-

    Trans. Tracking

    E RF , E RR-Refl. Tracking E XF, E XR-Isolation

    Measureme nt Calibration

    A more complet e definit ion of mea sur emen t

    calibration using t he HP 8510, an d a description of

    the er ror models is included in t he HP 8510

    operating an d programming man ual. The basic

    ideas a re summ arized here.

    A measur ement calibrat ion is a pr ocess which

    mat hema tically derives th e error model for the

    HP 8510. This err or model is a n a rr ay of vector

    3

    Introduct ion

    Figure 1. HP 8510 Full 2-Port E rror Model

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    coefficients used to esta blish a fixed reference plan e of zero pha se

    shift, zero magnitu de an d kn own impedance. The ar ray coefficients

    ar e comput ed by measu rin g a set of kn own devices conn ected at a

    fixed point an d solving as t he vector difference between t he m odeledand measured response.

    The full 2-port err or model shown in figure 1 is an exam ple of only

    one of th e measu remen t calibrat ions a vailable with t he HP 8510.

    The measu remen t calibrat ion process for the HP 8510 must be one

    of seven t ypes; RESP ONSE , RESPON SE & ISOLATION, S ll 1-

    PO RT, S 22 1-PORT, ONE PATH 2-PORT, FU LL 2-PORT, an d TRL 2-

    PORT. Ea ch of th ese calibrat ion t ypes solves for a differen t set of th e

    systemat ic measu rement errors. A RESPONSE calibration solves

    for t he system atic error ter m for r eflection or t ran smission t racking

    depending on th e S-par am eter which is activated on the HP 8510 at

    the time. RESPONSE & ISOLATION adds correction for crosstalk

    to a simple RESP ONSE calibration. An S 11 l-PORT calibrat ion solvesfor the forward error terms, directivity, source match and reflection

    tr acking. Likewise, the S 22 1-PORT calibra tion solves for t he sa me

    error t erms in th e reverse direction. A ONE PATH 2-PORT

    calibrat ion solves for a ll the forwar d err or term s. FULL 2-PORT and

    TRL 2-PORT calibrat ions include both forward an d r everse error

    terms.

    The type of measu remen t calibra tion selected by the u ser depends

    on th e device to be meas ur ed (ie. 1-port or 2-port device) an d th e

    extent of accuracy enhan cement desired. Furt her, a combinat ion of

    calibrat ions can be u sed in th e measu remen t of a pa rticular device.

    The accur acy of subsequent t est device measu remen ts is dependent

    on th e accura cy of th e test equipm ent , how well the known devices

    ar e modeled an d th e exactness of the err or corr ection model.

    Calibration Kit

    A calibrat ion k it is a set of ph ysical devices called stan da rds . Each

    sta nda rd ha s a precisely known or predicta ble magn itude and ph ase

    resp onse as a fun ction of frequen cy. In order for th e HP 8510 t o use

    th e stan dar ds of a calibrat ion kit, the r esponse of each stan dar d

    mu st be math emat ically defined and th en organ ized into sta nda rd

    classes which corr espond t o the err or models used by t he HP 8510.

    HP current ly supplies calibra tion kits with 7mm (HP 85050B/C/D),3.5mm (HP 85052B/D) and N -type (HP 85054B) coaxial conn ectors.

    To be able to use a par ticular calibration kit, th e known

    char acteristics from each sta ndard in the kit must be entered into

    th e HP 8510 nonvolatile memory. The operating a nd service

    ma nu als for each of th e HP calibration kits conta in th e physical

    char acteristics for each standa rd in the k it and math ematical

    definitions in t he forma t r equired by the HP 8510.

    Waveguide calibration using t he H P 8510 is possible alth ough HP

    does not pr esently supply the waveguide standa rds for a ll frequen cy

    4

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    bands . Calibrat ion in microstrip an d other non-coaxial m edia is

    described in H P Pr oduct Note 8510-8.

    Standard Definit ion

    Sta nda rd Definition is the pr ocess of ma them atically modeling the

    electrical characteristics (delay, attenuation and impedance) of each

    calibrat ion st an dar d. These electr ical char acteristics can be

    ma them atically derived from the ph ysical dimensions an d ma terial

    of each calibrat ion st an dar ds or from its actua l measur ed response.

    A Standa rd Definition table (see Table 1) lists t he pa ra meters th at

    ar e used by the H P 8510 to specify the m ath emat ical model.

    Class Assignmen tClass assignmen t is th e process of organizing calibrat ion st an dar ds

    into a forma t wh ich is compa tible with t he err or models used in

    measurement calibration. A class or group of classes correspond to

    th e seven calibration types used in t he HP 8510. The 17 available

    classes are identified later in t his n ote (see Assign Classes).

    5

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    6

    Table 1. Standard Definitions Table

    Table 2. Stand ard Class Assign men ts

    STANDARD CLASS ASSIGNMENTS

    1.Forward Isolation Standard is also used for Isolation of Response and Isolation calibration.

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    Calibration kit modificat ion provides th e capability t o adapt to

    measu remen t calibrat ions in other conn ector types or to generat e

    more precise error models from existing kits. Provided the

    appr opriate sta nda rds a re ava ilable, cal kit modificat ion can be u sedto establish a r eference plan e in the same tr an smission media as t he

    test devices an d at a specified point , gener ally the point of device

    conn ection/insertion. After calibrat ion, th e resulta nt measu remen t

    system, including a ny ada pters which would reduce system

    directivity, is fully corrected a nd th e systema tic measur ement errors

    ar e ma th ema tically removed. Additiona lly, the modification function

    allows th e user to input more precise physical definitions for the

    sta nda rds in a given cal kit. The process to modify or create a cal kit

    consist s of the following st eps:

    1. Select sta nda rds

    2. Define stan dar ds

    3. Assign class es

    4. Enter standards/classes5. Verify performance

    To fur th er illustra te, an example waveguide calibration kit is

    developed as t he gener al descript ions in MODIF Y CAL KIT process

    are presented.

    Select Standards

    Determine what st an dar ds are necessary for calibration and ar e

    available in the t ra nsmission media of the test d evices.

    Calibration stan dar ds ar e chosen based on the following criteria:

    A well defined r esponse which is mechan ically repeatable an d

    sta ble over typical am bient temper atu res an d conditions. The most

    common coaxial standards are zero-electrical-length short, shielded

    open a nd m at ched load term inations which ideally have fixed

    ma gnitude an d broadband ph ase response. Since waveguide open

    circuits a re genera lly not m odelable, th e types of standa rds typically

    used for waveguide calibrat ion a re a pa ir of offset short s an d a fixed

    or sliding load .

    An independent frequen cy response. To fully calibrate each test

    port (that is to provide the stan dar ds necessary for S 11 or S22 1-PORT

    calibrat ion), th ree stan dar ds are required tha t exhibit distinct phase

    an d/or magn itude at each par ticular frequency within thecalibrat ion ba nd. F or example, in coax, a zero-length short an d a

    perfect sh ielded open exhibit 180 degree ph ase sepa ra tion while a

    ma tched load will provide 40 to 50 dB ma gnitude sepa ra tion from

    both th e short a nd t he open. In waveguide, a pair of offset sh orts of

    correct length provide pha se separ ation.

    Broadband frequency coverage. In broadban d app lications, it is

    often difficult t o find sta nda rds t ha t exhibit a known, suitable

    response over t he ent ire ban d. A set of frequen cy-band ed sta nda rds

    of th e sam e type can be selected in order to cha racterize the full

    measurement band.

    7

    Modif icat ion P rocedu re

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    The TRL 2-PORT calibrat ion requ ires only a single precision

    impedance standa rda t ran smission line. An un known high

    reflection device an d a t hr u conn ection a re su fficient t o complet e

    this technique.

    Define Standards

    A glossar y of sta nda rd definition para meter s used with th e

    HP 8510 is included in th is section. Each par amet er is described

    an d appr opriate conversions a re listed for implement at ion with t he

    HP 8510. To illustrate, a calibration kit for WR-62 rectangular

    waveguide (operat ing frequen cy ra nge 12.4 to 18.0 G Hz) will be

    defined a s sh own in Table 1. Subsequent sections will cont inue t o

    develop this waveguide example.

    Figure 2. Standard Definition Models

    8

    Model for Reflection Stan dard

    (short, open, load or arbitraryImpedance)

    Model for Transm ission Sta ndard(Thru)

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    The ma th emat ical models ar e developed for each st an dar d in

    accorda nce with t he sta nda rd definition para meter s provided by

    th e HP 8510. These stan dar d definition par am eters ar e shown in

    Figure 2.

    Ea ch stan dar d is described using the Sta nda rd Definition Table in

    accorda nce with t he 1 or 2 port m odel. The Stan dar d Definition

    ta ble for a waveguide calibra tion kit is sh own in Table 1. Each

    sta nda rd type (short, open, load, thr u an d arbitr ary impedan ce) ma y

    be defined by th e par am eter s as specified below.

    Standard number and standard type

    Fr inging capa cita nce of an open, or indu ctance of a short, specified

    by a th ird order polynomial

    Load/arbit ra ry impeda nce, which is specified as fixed or sliding

    Termina l resistan ce of an a rbitra ry impedance

    Offsets which a re sp ecified by delay, Z0, R loss Frequency range

    Connector type: coaxial or waveguide

    Label (up t o 10 alphan umeric char acters)

    Standard Number

    A calibration kit m ay cont ain u p to 21 sta nda rds (See Table 1). The

    required n um ber of standa rds will depend on frequency coverage

    an d whether t hru ada pters a re needed for sexed connectors.

    For t he WR-62 waveguide exam ple, four st an dar ds will be sufficient

    to perform th e FULL 2-PORT calibrat ion. Thr ee reflection

    standa rds ar e required, and one tra nsmission sta ndard (a t hru) will

    be sufficient to complete th is calibra tion kit.

    Standard Type

    A stan dar d type m ust be class ified as a short open, load th ru

    or ar bitra ry imp edan ce. The a ssociated models for r eflection

    sta nda rds (short , open, load and ar bitrar y impedan ce) an d

    tran smission sta ndards (thr u) are shown in F igure 1.

    For th e WR-62 waveguide calibrat ion kit, th e 4 stan dar ds ar e a

    1/8 & 3/8 offset short, a fixed mat ched load and a thr u. Stan dar dtypes are entered into the Stan dar d Definition ta ble un der

    STANDARD NUMBERS 1 thr ough 4 a s short, short, load a nd t hru

    respectively.

    Open Circuit Capacita nce: C0 , C 1 , C 2 and C3

    If the st an dar d type selected is an open, the C0 through C3coefficients ar e specified an d t hen used to ma them atically model th e

    pha se shift caused by fringing capa citan ce as a function of

    frequency.

    As a reflection sta nd ar d, an open offers th e adva nt age of broadba nd

    frequen cy covera ge, while offset short s cann ot be used over more

    th an an octa ve. The reflection coefficient ( = pe-je) of a per fect zer o-

    9

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    length -open is 1 at 0 for a ll frequ encies. At m icrowave frequen cies

    however, th e magn itu de an d ph ase of an opens ar e affected by the

    ra diat ion loss a nd capacitive fringing fields, respectively. In

    coaxial transmission media, shielding techniques are effective inreducing the ra diation loss. The magnitud e (p) of an open is

    ass igned to be 1 (zero radia tion loss) for all frequ encies when u sing

    th e HP 8510 St an dar d Type open.

    It is n ot possible to remove fringing capa cita nce, but the resulta nt

    pha se shift can be m odeled as a fun ction of frequency using C 0thr ough C3 (C0 +C l x F + C2 x F

    2 + C 3 x F3,with u nit s of F(Hz), C0(fF),

    C1(10-27F/H z), C2(10

    -36F/Hz2) an d C3(10-45F/Hz3), which a re t he

    coefficients for a cubic polynomia l tha t best fits t he a ctua l

    capa citance of the open.

    A number of meth ods can be used to determin e the fringing

    capacita nce of an open. Three t echniqu es, described her e, involve acalibrat ed reflection coefficient measu remen t of an open sta nda rd

    and subsequent calculation of the effective capacitance. The value of

    fringing capacitance can be calculated from t he mea sur ed pha se or

    rea ctan ce as a function of frequen cy as follows.

    Ceff effective capa cita nce

    measur ed phase shiftf measur ement frequency

    Z0 chara cteristic impedance

    X measu red rea ctance

    This capa cita nce can t hen be modeled by choosing coefficient s to

    best fit the meas ured r esponse when mea sur ed by either met hod 3

    or 4 below.

    1. Fully calibrated 1-PortE sta blish a calibrat ed reference plan e

    using th ree independent sta nda rds (tha t is, 2 sets of banded offset

    shorts a nd load). Measu re th e pha se response of the open a nd solve

    for the capacitance function.

    2. TRL 2-PORTWhen tra nsm ission lines stan dar ds are a vailable,

    th is meth od can be used for a complete 2-port calibrat ion. With

    error-correction applied th e capacitance of th e open can be mea sured

    directly.

    3. Gat ingUse time doma in gating to correct th e measu red response

    of th e open by isolat ing th e reflection due t o the open from the

    source mat ch reflection an d signal pat h leakage (directivity).

    Figure 3 sh ows th e time domain response of th e open at th e end of

    an a irline. Measu re th e gated phase response of th e open at t he end

    of an airline an d a gain solve for t he capacitance function.

    10

    tan( )

    2

    2fZ0

    1

    2fXCeff= =

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    Figure 3. Time domain respon se of open at the en d of an air l ine

    Note

    In some cases (when t he pha se response is linear with respect to

    frequency) the r esponse of an open can be modeled as an equivalent

    incremen ta l length .

    This met hod will serve as a first order appr oximat ion only, but can

    be useful when d ata or stan dar ds for t he above modeling techniques

    ar e not available.

    For th e waveguide example, this pa ram eter is not addressed since

    opens cann ot be made valid stan dar ds in waveguide, due to the

    excessive radiat ion loss and indeterm inan t pha se.

    Short Circuit Inductan ce L0 , L l , L 2 and L3If the st an dar d type selected is a short , th e L0 thr ough L3coefficients ar e specified to model the ph ase s hift caused by th esta nda rds residu al indu ctan ce as a fun ction of frequen cy. The

    reflection coefficient of an ideal zero-lengt h s hort is 1 at 180 at a ll

    frequen cies. At m icrowave frequen cies, however, the r esidua l

    inductan ce can produce additiona l phase sh ift. When th e inductan ce

    is known an d repea table, this ph ase sh ift can be accounted for

    dur ing the calibration.

    11

    2f (length)c

    (radians) =

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    The ind ucta nce as a fun ction of frequen cy can be modeled by

    specifying t he coefficient s of a th ird-order polynomia l (L0 + L 1 X F +

    L2 X F 2 + L 3 X F3, with u nit s of F(Hz), L0(nH), L1(10

    -24H/Hz),

    L2(10 -33 H/Hz2) an d L3(10 -42H/Hz3).

    For t he wa veguide example, the inductan ce of the offset sh ort

    circuits is n egligible. L0 thr ough L3 ar e set equal to zero.

    Fixed or Sl iding

    If the sta nda rd t ype is specified to be a load or a n a rbitra ry

    impeda nce, then it mu st be sp ecified as fixed or sliding. Selection of

    sliding provides a su b-menu in th e calibrat ion sequ ence for

    mu ltiple slide positions a nd m easur ement . This enables calculation

    of th e directivity vector by ma them atically elimina ting th e response

    due t o a non-ideal term inal impedan ce. A fur th er explana tion of this

    technique is found in th e Measurem ent Ca librat ion section in th e

    HP 8510 Operating an d Programming manua l.

    The load stan dar d #4 in t he WR-62 waveguide calibration kit is

    defined as a fixed load. En ter FIXED in th e ta ble.

    Terminal Impeda nce

    Term ina l impedan ce is only specified for ar bitr ar y impedan ce

    sta nda rds. This a llows definition of only the rea l par t of the

    term inat ing impedan ce in ohms . Selection as t he sta nda rd type

    short , open or load au toma tically ass igns th e t erm ina l imped an ce

    to be 0, or 50 ohm s r espectively.

    The WR-62 waveguide calibrat ion kit exam ple does n ot cont ain an

    arbitrary impedance standa rd.

    Offset Delay

    If the sta nda rd h as electrical length (relative to the calibrat ion

    plan e), a st an da rd is specified to ha ve an offset delay. Offset delay is

    enter ed as th e one-way travel time thr ough an offset th at can be

    obtain ed from the ph ysical length usin g propaga tion velocity of light

    in free space and th e appropriat e permittivity constan t. The

    effective propaga tion velocity equ als cr. See Appendix B for afurt her description of physical offset length s for sexed connector

    types.

    Delay (seconds) =

    = precise measu remen t of offset length in met ers

    r = relative permitt ivity(= 1.000649 for coaxial a irline or air-filled waveguide in st an dar d

    lab condit ions)

    c = 2.997925 X 10 8 m/s

    In coaxial transmission line, group delay is constant over frequency.

    In wa veguide however, group velocity does vary with frequen cy due

    to disper sion as a fun ction of th e cut-off frequ ency.

    12

    r

    c

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    r = relative permea bility constan t of the m edium (equal t o 1.0 inair)

    r = relative permitt ivity const an t of the m edium (equal to 1.000649in air)

    D = inside dia met er of outer condu ctor

    d = out side diameter of inner condu ctor

    The HP 8510 requires tha t th e cha racteristic impedan ce of

    waveguide tran smission line is assigned to be equal to th e SET Z0.

    The chara cteristic impedan ce of oth er tr an smission m edia is not aseasily determined th rough m echa nical dimensions. Waveguide

    impeda nce, for examp le, var ies as a function of frequen cy. In su ch

    cases, norma lized impedance measur ement s ar e typically made.

    When calibrat ing in wa veguide, the im peda nce of a ma tched load is

    used a s th e impedan ce reference. The impedan ce of th is load is

    ma tched th at of th e waveguide across frequen cy. Normalized

    impedance is achieved by entering SE T Z0 and OFFSET Z0 to 1 ohm

    for each standard.

    Offset Z0 equal to system Z0 (SET Z0) is the a ssigned convention in

    th e HP 8510 for m atched waveguide impedance.

    Offset LossOffset loss is used t o model th e ma gnitu de loss due to skin effect of

    offset coaxial t ype sta nda rds only. The value of loss is enter ed int o

    th e sta nda rd definition ta ble as gigohm s/second or ohms/nan osecond

    at 1 GHz.

    The offset loss in gigohms/second can be calculat ed from th e

    measu red loss at 1 GHz an d the ph ysical length of th e part icular

    sta nda rd by the following equat ion.

    where:dB lOSS | 1GHZ =measured insertion loss at 1 GHZ

    Z0 = offset Z0l = physical lengt h of th e offset

    The H P 8510 calculates th e skin loss as a fun ction of frequen cy as

    follows:

    Offset Loss XG

    s 1GHzf(GHz)Offset Loss

    Gs

    =

    Offset Loss =G

    s 10 log10(e)1GHz

    dBloss 1GHzc r Z0

    14

    Z0 = In = 59.9585 In12

    (D)d

    r r (D)d

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    For all offset st an dar ds, including shorts or opens, enter th e one

    way skin loss. The offset loss in wa veguide should a lways be

    assigned zero ohm s by the HP 8510.

    Ther efore, for t he WR-62 waveguide st an dar d definit ion t able, offset

    loss of zero ohm /sec is ent ered for all four st an dar ds.

    Lower/Minimum Frequency

    Lower frequency defines t he m inimum frequency at which t he

    sta nda rd is to be used for th e purposes of calibrat ion.

    Note

    When defining coaxial offset st an dar ds, it ma y be necessary to use

    ban ded offset short s to specify a sin gle stan dar d class . The lower

    an d upper frequency par am eters should be used to indicat e the

    frequency range of desired response. It sh ould be noted th at loweran d upper frequency serve a du al purp ose of separa ting banded

    sta nda rds wh ich compr ise a single class as well as defining th e

    overall app licable frequency ran ge over which a calibrat ion kit m ay

    be used.

    In wa veguide, this m ust be its lower cut -off frequen cy of th e

    prin cipa l mode of propa gat ion. Waveguide cut off frequ encies can be

    foun d in m ost waveguide t extbooks. The cut off frequ ency of the

    fundam enta l mode of propagat ion (TE 10) in r ecta ngular waveguide is

    defined as follows.

    f = c

    2a

    c = 2.997925 X 1010 cm/sec.

    a = inside width of waveguide, lar ger dimen sion in cm

    As referen ced in offset delay, the m inimu m frequen cy is used t o

    compute the dispersion effects in waveguide.

    For t he WR-62 waveguide examp le, the lower cut off frequ ency is

    calcula ted as follows.

    f = c = 2.997925 X 1010 cm/s = 9.487 GHz

    2a 2 X 1.58 cm

    c = 2.997925 X 1010 cm/sa = 1.58 cm

    The lower cut-off frequ ency of 9.487 GHz is ent ered in to th e ta ble for

    all four WR-62 waveguide stan dar ds.

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    Upper/Maximum Frequency

    This specifies the maximum frequency at wh ich th e stan dar d is

    valid. in broadban d applicat ions, a set of banded st an dar ds ma y be

    necessa ry to provide consta nt resp onse. For examp le, coaxial offsetsta nda rds (ie. 1/4 offset sh ort) ar e gener ally specified overban dwidth s of an octa ve or less. Ban dwidth specificat ion of

    sta nda rds, using minimum frequency and maximu m frequency,

    enables th e HP 8510 to cha racterize only the specified band du ring

    calibrat ion. Fur ther, a submenu for band ed standa rds is ena bled

    which r equires th e user t o completely cha ra cterize the curr ent

    measu remen t frequency ra nge. In waveguide, this is the upper

    cutoff frequen cy for t he wa veguide clas s an d mode of propa gat ion.

    For th e fun dam enta l mode of propagation in rectangular waveguide

    th e ma ximum upp er cutoff frequen cy is twice th e lower cutoff

    frequen cy an d can be calculat ed as follows.

    F(upper) = 2 X F(lower)

    The u pper frequency of a waveguide stan dar d m ay a lso be specified

    as t he ma ximum operat ing frequency as listed in a textbook.

    The MAXIMUM F REQUE NCY of the WR-62 waveguide cal kit is

    18.974 GHz and is ent ered into the st an dar d definition t able for all

    four standa rds.

    Coax or Wave guide

    It is n ecessary t o specify wheth er t he st an dar d selected is coaxial or

    waveguide. Coaxial tra nsmission line ha s a linear pha se response as

    Waveguide tra nsm ission line exhibits dispersive pha se response a s

    follows.

    where

    Selection of WAVEGUIDE compu tes offset dela y u sing t he

    disper sive response, of recta ngu lar wa veguide only, as a function of

    frequency as

    This empha sizes th e importa nce of ent ering fco as t he LOWE R

    FRE QUEN CY.

    1-(fco/f)2Delay (seconds) Linear Delay=

    1-(/co)2g

    =

    2(radians)

    g=

    2 2f(delay)(radians)

    ==

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    Selection of COAXIAL ass um es linea r resp onse of offset dela y.

    Note

    Mathematical operations on measurements (and displayed data)after calibration a re n ot corrected for dispersion.

    En ter WAVEGUIDE into th e sta nda rd definition table for all four

    standards.

    Standa rd Labels

    Labels ar e entered thr ough th e ti t le menu an d may conta in up t o 10

    chara cters. Sta nda rd Labels are enter ed to facilitat e menu dr iven

    calibrat ion. Labels that describe and different iate each sta nda rd

    should be used. This is especially tru e for m ultiple stan dar ds of th e

    same t ype.

    When sexed connector standards are labeled, male (M) or female (F),th e designa tion refers t o the test port conn ector sexnot t he

    conn ector sex of th e stan dar d. Furt her, it is recommended th at t he

    label include inform ation car ried on th e stan dar d such as th e serial

    nu mber of the pa rticular st an dar d to avoid confusing multiple

    standa rds which a re similar in appearan ce.

    The labels for the four stan dar ds in th e waveguide example are;

    #1-PSHORT1, #2-PSHORT2, #3-PLOAD, and #4-THRU.

    Assign ClassesIn t he pr evious section, Define St an dar ds, the char acteristics of

    calibrat ion st an dar ds were derived. Class assignment organ izes

    th ese stan dar ds for compu tat ion of the var ious err or models used incalibrat ion. The HP 8510 requires a fixed nu mber of sta nda rd

    class es to solve for th e n ter ms u sed in th e err or models (n = 1, 3 or

    12). That is, the n um ber of calibration error t erms r equired by the

    HP 8510 to cha ra cterize the mea sur ement s ystem (1-Port, 2-Port,

    etc.) equals the number of classes utilized.

    Standard Classes

    A single Stan dar d Class is a sta nda rd or group of (up to 7)

    sta nda rds th at compr ise a single calibrat ion step. The standa rds

    within a single class ar e assigned to locations A th rough G as listed

    on the Class Assignments t able. It is importa nt to note th at a class

    mu st be defined over t he ent ire frequency ran ge that a calibration is

    made, even th ough several separat e standa rds ma y be required to

    cover the full measu remen t frequency ra nge. In th e measur ement

    calibrat ion process, the order of stan dar d measu remen t within a

    given class is not import an t un less significant frequency overlap

    exists am ong the standa rds used. When two standa rds ha ve

    overlapping frequency bands, the last st an dar d to be measu red will

    be used by th e HP 8510. The order of sta nda rd measu rement

    between different classes is n ot restr icted, although t he H P 8510

    requires th at a ll sta nda rds th at will be used with in a given class ar e

    measu red before proceeding to th e next class. Stan dar ds ar e

    organized into specified classes which ar e defined by a Sta nda rds

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    Class Assignment ta ble. See Table 2 for the class assignmen ts t able

    for the waveguide calibration kit.

    S 11 A,B,C and S 22 A,B,C:S 11 A, B,C and S22 A,B,C correspond to th e S11 and S 22 reflection

    calibrat ions for port 1 an d port 2 res pectively. These th ree classes

    ar e used by th e HP 8510 to solve for the syst emat ic errors;

    directivity, source match, and reflection tracking. The three classes

    us ed by t he 7mm cal kit ar e labe led sh ort , open, an d loads .

    Loads refers t o a group of sta nd ar ds wh ich is r equired to complet e

    th is stan dar d class. A class ma y include a s et of sta nda rds of which

    th ere is more tha n one acceptable selection or m ore th an one

    sta nda rd required to calibrate th e desired frequency ra nge.

    Table 2 cont ains th e class a ssignment for the WR-62 waveguide cal

    kit. Th e 1/8 offset sh ort (stan dar d #1) is assigned to S 11A. The 3/8

    offset sh ort (stan dar d #2) is assigned to S 11B. The mat ched load(standa rd #3) is assigned to S11C.

    Forward Transm ission Match and Thru

    Forward Tra nsm ission (Match a nd Th ru) classes corr espond t o the

    forwar d (port 1 to port 2) tran smission a nd r eflection measu rement

    of th e delay/thr u stan da rd in a FU LL 2-PORT or ONE-PATH

    2-PORT calibration. During measu remen t calibration the r esponse

    of th e mat ch sta nda rd is u sed to find th e systemat ic Load Ma tch

    error term. Similarly the response of the t hru standa rd is used to

    characterize transmission tracking.

    The class assignment s for t he WR-62 waveguide cal kit ar e as

    follows. The th ru (stan dar d #4) is as signed t o both FORWARDTRANSMISSION an d F ORWARD MATCH.

    Reverse Transmission Match an d Thru

    Reverse Tran smission (Match a nd Th ru) classes correspond t o the

    reverse tr an smission a nd r eflection measu remen t of the delay/thru

    standa rd. For S-param eter test sets, this is the port 2 to port 1

    tr an smission path . For the reflection/tra nsm ission test sets, the

    device is reversed and is measur ed in the sa me man ner u sing the

    forwar d tr an smission calibration.

    The class assignment s for t he WR-62 waveguide cal kit ar e as

    follows. The th ru (Sta nda rd #4) is assigned to both RE VERSE

    TRANSMISSION a nd REVERSE MATCH.

    Isolation

    Isolat ion is simply the leakage from port 1 to port 2 intern al to th e

    test set.

    To determine th e leaka ge signals (crosstalk), each port sh ould be

    term inat ed with m atched loads while measu ring S21 and S 12.

    The class assignment s for forwar d an d reverse isolation ar e both

    loads (stan dar d #3).

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    Frequency Response

    Fr equen cy Response is a single class wh ich corr esponds t o a one-

    term error corr ection tha t char acterizes only the vector frequency

    response of the test configuration. Transmission calibration typicallyuses a th ru an d reflection calibrat ion t ypically uses eith er a n open

    or a short.

    Note

    The F requency Response calibration is not a simple frequen cy

    norma lizat ion. A normalized response is a m at hema tical comparison

    between measur ed data a nd stored data . The import an t difference

    is, th at wh en a st an dar d with non-zero phase, such as an offset

    short, is remeasu red a fter calibration using Fr equency Response,

    th e actua l pha se offset will be displayed, but its norma lized

    response would display zero phas e offset (measu red r esponse m inus

    stored response).

    Therefore, th e WR-62 waveguide calibrat ion kit class assignment

    includes standard #1, standard #2 and stan dard #4.

    TRL Thru

    TRL Thru corr esponds to the m easur ement of th e S-par am eters of a

    zero-length or short t hr u conn ection between port 1 a nd port 2. The

    Thru , Reflect an d Line classes are used exclusively for th e th ree

    step s of th e TRL 2-PORT calibrat ion. Typically, a delay/thr u with

    zero (or very sm all) Offset Delay is specified as t he TRL Th ru

    standard.

    TRL Reflect

    TRL Reflect correspond s to th e S11 and S 22 measu remen t of a highlyreflective 1-port d evice. The Reflect (typically an open or s hort

    circuit) mu st be t he sa me for port 1 an d 2. The reflection coefficient

    ma gnitu de of th e Reflect should be close to 1 but is n ot specified.

    The p ha se of th e Reflection coefficient need only be a ppr oxima tely

    specified (within +/ - 90 degrees).

    TRL Lin e

    TRL Line corr esponds t o the measu remen t of th e S-par am eters of a

    short t ran smission line. The impedance of this line deter mines th e

    reference impeda nce for the subsequent error-corrected

    measu remen ts. The insertion pha se of the Line n eed not be precisely

    defined but m ay not be th e same a s (nor a mu ltiple of pi) th e pha se

    of th e Thru .

    Adapter

    This class is used t o specify the a dapt ers u sed for the a dapt er

    removal process. The stan dar d num ber of th e adapt er or ada pters to

    be cha ra cterized is entered int o the class a ssignment. Only an

    estim at e of th e ada pter s Offset Delay is requ ired (within +/ - 90

    degrees). A simple way to estima te t he Offset Delay of an y ada pter

    would be as follows. Per form a 1-port calibra tion (Response or S 111-PORT) an d then conn ect th e adapt er to the test port. Termina te

    the a dapter with a short circuit an d th en measur e the Group Delay.

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    If the sh ort circuit is not a n offset sh ort, the ada pter s Offset Delay

    is simply l/2 of the m easu red d elay. If the sh ort circuit is offset, its

    delay must be subt ra cted from the m easur ed delay.

    Ea ch adapt er is specified as a single delay/thru st an dar d and u p to

    seven stan dar ds nu mbers can be specified into the a dapt er class.

    Standa rd Class Labels

    Sta nda rd Class labels are enter ed to facilitat e menu -driven

    calibration. A label can be any user-selected term which best

    describes th e device or class of devices th at th e opera tor sh ould

    conn ect. Predefined labels exist for ea ch class. Thes e labels ar e

    S 11A, S 11B, S 11C, S22A, S 22B, S22C, FWD TRANS, F WD MATCH, RE V

    TRANS, REV MATCH, RESP ONSE , FWD ISOLATION, REV

    ISOLATION, THRU, REF LECT, LINE an d ADAPTER.

    The class labels for the WR-62 waveguide calibration kit ar e asfollows; S llA an d S 22APSHORT1; S llB and S 22BPSHORT2; S llC and

    S 22CPLOAD; FWD TRANS, FWD MATCH, REV TRANS an d RE V

    MATCHPTHRU; and RESPONSERESPONSE.

    TRL Option s

    When performin g a TRL 2-PORT calibrat ion, certain options may be

    selected. CAL Z is used to specify whet her skin -effect-relat ed

    impeda nce varia tion is to be used or n ot. Skin effect in lossy

    tr an smission line sta nda rds will cause a frequency-dependent

    variat ion in impedance. This variation can be compensa ted when

    th e skin loss (offset loss) and t he m echan ically derived impeda nce

    (Offset Z0) are sp ecified an d CAL Z0: SYSTEM Z0 selected. CAL Z0:

    LINE Z0 specifies tha t t he impedan ce of the line is equal to th eOffset Z0 at all frequencies.

    The ph ase r eference can be specified by the Th ru or Reflect du ring

    th e TRL 2-PORT calibrat ion. SET REF: THRU corr esponds to a

    reference plane set by Thr u st an dar d (or t he ra tio of the physical

    lengths of th e Thru a nd Line) and SET REF : REFLE CT corr esponds

    to the Reflect sta nda rd.

    LOWBAND FRE QUENCY is u sed to select t he m inimum frequency

    for coaxial TRL calibra tions. Below th is frequen cy (typically 2 to

    3 GHz) S 11 and S 22 1-PORT calibrat ions can be used. Un like

    MINIMUM FRE QUENCY, th is frequency may be n eglected du ring

    calibrat ion. In th at case th e TRL sta nda rds would be used over th e

    full frequ ency ra nge. To achieve specified per form an ce in a coaxial

    interface, TRL stan dar ds sh ould only be used down to the low-band

    frequen cy. Note: The resu lta nt calibrat ion is a sin gle cal set

    combining the TRL and conventional l-PORT calibrations.

    Calibration Kit Label

    A calibra tion kit la bel is selected t o describe th e conn ector type of

    th e devices to be measu red. If a new label is not generat ed, the

    calibrat ion k it label for th e kit previously cont ained in th at

    calibrat ion k it regist er (CAL 1 or CAL 2) will rem ain . The

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    predefined labels for t he t wo calibration kit registers a re:

    Calibration kit 1 Cal 1 HP 85050B

    7mm B.1

    Ca libr a tion k it 2 Ca l 2 H P 85052B

    3.5mm B. 1

    Again , cal kit la bels should be chosen t o best describe the calibra tion

    devices. The B.1 default suffix corr esponds to t he kits m echan ical

    revision (B) and mathematical revision (1).

    Note

    To prevent confusion, if any standard definitions in a calibration kit

    ar e modified but a new kit label is not ent ered, the default label will

    appear with th e last cha racter replaced by a *. This is not the case

    if only a class is redefined with out chan ging a sta nda rd d efinition.

    The WR-62 waveguide calibra tion kit can be labeled simply

    P BAND.

    Enter Stan dards/Classes

    The specificat ions for t he Sta nda rd Definition table an d Sta nda rd

    Class Assignment s table can be ent ered into the HP 8510 through

    front p an el menu-driven ent ry or under pr ogram cont rol by an

    externa l cont roller. The procedure for entr y of standa rd definitions,

    sta nda rd labels, class assignmen ts, class labels and calibration kit

    label is described in Appen dix A.

    Note

    DO NOT exit the calibration kit modification process without saving

    th e calibration kit definitions in th e appropriate r egister in t he

    HP 8510. Fa ilure to save th e redefined calibration kit will result in

    not saving th e new definitions and th e original definitions for tha t

    register will rem ain . Once th is process is complet ed, it is

    recommen ded tha t th e new calibration kit should be saved on ta pe.

    Verify Performanc e

    Once a measu remen t calibrat ion using a pa rticular calibrat ion kit

    ha s been gener at ed, its perform an ce should be checked before

    ma king device measu remen ts. To check th e accur acy that can be

    obta ined using t he n ew calibration kit, a device with a well defined

    frequency response (preferably unlike any of th e stan dar ds used)should be measur ed. It is importa nt to note tha t th e verification

    device must n ot be one of th e calibrat ion st an dar ds. Calibrat ed

    measu remen t of one of the calibration stan dar ds is merely a

    measu re of repeat ability.

    A perform an ce check of waveguide calibra tion kit s is often

    accomplished by measur ing a zero length short or a sh ort at t he end

    of a straight section of waveguide. The measured response of this

    device on a polar display should be a dot at 1 180. The deviationfrom the k nown is an indication of th e accur acy.

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    To achieve a more complete verification of a particular measurement

    calibration, (including dynamic accuracy) accurately known

    verificat ion sta nda rds with a diverse magnitu de and ph ase response

    should be used. NBS traceable or HP sta nda rds ar e recommended toachieve verifiable measu remen t accur acy. Fu rt her, it is

    recommen ded tha t verification sta nda rds with kn own but different

    pha se and ma gnitude response tha n an y of the calibra tion

    sta nda rds be u sed to verify performa nce of the HP 8510.

    As n oted previously, the resulta nt accur acy of the H P 8510 when

    used with a ny calibration kit is dependent on how well its sta nda rds

    ar e defined an d is verified thr ough measu remen t of a device with

    tr aceable frequen cy response.

    The pu blished Measu remen t Specifications for t he H P 8510Network Analyzer syst em include calibrat ion with HP calibrat ionkits such as th e HP 85050B. Measur ement calibrations made withuser defined or modified calibration kits ar e not su bject t o the H P8510 performa nce specifications a lthough a procedure similar to th e

    sta nda rd verification pr ocedure m ay be used.

    Modeling A Thru Adapter

    The MODIFY CAL KIT fun ction allows more pr ecise definition of

    existing sta nda rds, such as t he th ru. For exam ple, when m easur ing

    devices with t he sa me sex coaxial conn ectors, a set of th ru

    sta nda rds to ada pt n on-inserta ble devices on each end is needed.

    Var ious t echniqu es ar e used t o can cel th e effects of th e th ru

    ada pters. H owever, using th e modify cal kit function to mak e aprecise definition of the th ru ' enables th e HP 8510 to mat he-

    ma tically remove th e att enua tion and ph ase sh ift du e to the thr u'

    ada pter. To model corr ectly a th ru of fixed length , accura te ga uging

    (see OFFSET DELAY) and a precise measurement of skin-loss

    at tenu at ion (see OFFSE T LOSS) are requ ired. The chara cteristic

    impedance of th e th ru can be foun d from th e inner an d outer

    condu ctor diameter s a nd th e perm ittivity of the dielectric (see

    OFFSET Z0).

    Modeling An Arbitrary Impeda nce Standa rd

    The arbitr ar y impedan ce sta nda rd allows the user to model th e

    actu al resp onse of an y one port pas sive device for u se as a

    calibrat ion st an dar d. As previously stat ed, the calibration isma them atically derived by comparing th e measu red response to the

    known response which is modeled th rough th e stan dar d definition

    ta ble. However, when th e known r esponse of a one-port sta nda rd is

    not pu rely reflective (short/open) or per fectly ma tched (load) but th e

    response has a fixed real impedan ce, then it can be modeled as a n

    ar bitrar y impedance. A load type sta nda rd h as a n a ssigned

    term inal impedance equa l to the system Z0. If a given load h as a n

    impedance which is oth er tha n th e system Z0, th e load itself will

    produ ce a syst ema tic error in solving for t he dir ectivity of th e

    measu remen t system dur ing calibration. A portion of the incident

    22

    Use r Modified Cal Kits and HP 8510 Spe cif ications

    Modif icat ion Examp les

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    signal will be reflected from th e misma tched load an d su m t ogether

    with th e actual leakage between th e reference and test chan nels

    within t he m easur ement system. However, since this r eflection is

    systemat ic an d predictable (provided th e term inat ing impedance isknown) it m ay be ma them atically removed. The calibra tion can be

    improved if th e stan dar ds term inal impedan ce is entered int o the

    definition t able as an arbitr ar y impedance rath er th an as a load.

    A procedure similar to tha t u sed for m easur ement of open circuit

    capacita nce (see meth od #3) could be used t o make a calibrat ed

    measurement of the terminal impedance.

    Calibration kit specificat ions can be entered into the H P 8510 using

    th e HP 8510 tape dr ive, a disc drive conn ected t o the system bus, by

    front p an el ent ry or th rough program contr ol by an externa lcontroller.

    Disc/Tape Proc edu re

    This is an importa nt featu re since th e HP 8510 can int erna lly store

    only two calibration kits at one time while mu ltiple calibrat ion k its

    can be stored on a single tape or disc.

    Below is th e generic procedure t o load or store calibra tion kit s from

    an d to th e ta pe drive or disc interface.

    To Load Calibration Kits from a Tape or Disc into the HP 8510

    1. Insert th e calibration data t ape into the HP 8510 network

    an alyzer (or connect compa tible disc drive to system bu s).

    2. Pr ess t he DIS C/TAPE k ey; select STORAGE IS : TAPE or DIS C;

    th en pr ess t he following CRT-displayed softk eys:

    LOAD

    CAL KIT 1-2

    CAL KIT 1 or CAL KIT 2 (This selection d eter min es which of the

    HP 8510 non-volatile registers th at th e calibrat ion k it will be loaded

    into.)

    FILE #_ or FILE N AME.

    3. To verify that the correct calibration kit was loaded into th e

    instrument, press the CAL key. If properly loaded, the calibrationkit label will be shown under CAL 1 or CAL 2 on the CRT

    display.

    To Store Calibration Kits from th e HP 8510 onto a Tape or D isc

    1. Insert an initialized calibration data tap e into the HP 8510

    network an alyzer or conn ect compa tible disc drive to th e system

    bus.

    2. Pr ess t he DIS C/TAPE k ey; select STORAGE IS : DISC or TAPE;

    th en pr ess th e following CRT displayed softk eys:

    STORE

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    Appen dix ACalibrat ion Kit Entry P rocedu re

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    CAL KIT 1-2

    CAL KIT 1 or CAL KIT 2 (This selection d eter min es which of the

    HP 8510 non-volatile calibrat ion kit r egisters is to be st ored.)

    FILE #_ or FILE N AME.

    3. Examine Directory to verify th at file has been stored. This

    completes th e sequence to store a calibra tion k it onto the t ape or

    disc.

    To gener at e a new cal kit or modify an existin g one, eith er front

    pan el or pr ogra m contr olled entry can be used.

    In t his guide, procedur es have been given to define sta nda rds a nd

    ass ign class es. This section will list th e steps r equir ed for front

    panel entry of the standa rds a nd a ppropriate labels.

    Front Pan el Procedu re: (P-Band Waveg uide Exam ple)

    1. Prior t o modifying or gener at ing a cal kit , store one or both of th e

    cal kits in t he H P 8510s non-volat ile memory to a t ap e or disc file.

    2. Select CAL menu , MORE.

    3. Prep ar e to modify cal kit 2: press MODIFY 2.

    4. To define a standard: press DEFINE STANDARD.

    5. Ena ble sta nda rd n o. 1 to be modified: press 1, X1.

    6. Select sta nda rd type: SHORT.

    7. Specify an offset: SPECIF Y OFF SE TS.

    8. En ter th e delay from Table 1: OFFSE T DELAY, 0.0108309, ns.

    9. Ent er t he loss from Table 1: OFF SE T LOSS, 0, X1.

    10. Ent er the Z0 from Table 1: OFFSE T Z0, 50, X1.

    11. En ter th e lower cut off frequ ency: MINIMU M FRE QUE NCY,

    9.487 GHz.

    12. Ent er th e upper frequ ency: MAXIMUM FRE QUEN CY,

    18.97 GHz.

    13. Select WAVEGUI DE.

    14. Pr epare t o label the new stan dar d: PRIOR MENU, LABEL

    STANDARD, ERASE TITLE.

    15. Enter PSH ORT 1 by using th e knob, SELECT LETTER soft key

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    an d SPACE soft key.

    16. Complete t he t itle entry by pressing TITLE DONE .

    17. Complete the standard modification by pressing STANDARD

    DONE (DEFINE D).

    Sta nda rd #1 ha s now been defined for a 1/8 P-band wa veguideoffset sh ort. To define th e rem aining st an dar ds, refer t o Table 1 an d

    repea t st eps 4 -17. To define sta nda rd #3, a m at ched load, specify

    fixed.

    The front pan el procedure t o implement th e class assignmen ts of

    Table 2 for th e P-ban d waveguide cal kit a re a s follows:

    1. Prep ar e to specify a class: SPE CIFY CLASS.

    2. Select st an dar d class S 11A.

    3. Inform th e HP 8510A to use sta nda rd n o. 1 for the S 11A clas s of

    calibrat ion: l, X1, CLASS DONE (SPECIF IED).

    4. Chan ge the class label for S 11A: LABEL CLASS, S 11A, ERASE

    TITLE.

    5. Ent er t he label of PSH ORT 1 by using the kn ob, the SE LECT soft

    key an d th e SPACE soft key.

    6. Complete t he label en try procedure: TITLE DONE , LABEL

    DONE.

    Follow a similar procedure t o enter the r emaining sta nda rd classes

    and labels shown below:

    Fin ally, cha nge t he cal kit label as follows:

    1. Pr ess LABEL KIT.

    2. Ent er t he t itle P BAND.

    3. Pres s TITLE DONE, KIT DONE (MODIFI ED). The messa ge CAL

    KIT SAVED should appear.

    This complet es th e ent ire cal kit modificat ion for front pa nel ent ry.

    An example of progra mm ed modificat ion over th e HP -IB bus

    th rough an externa l controller is shown in th e Intr oduction To

    Pr ogra mming s ection of th e Operat ing an d Service manu al (Section

    III).

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    This appen dix describes dimensiona l considera tions and required

    conventions u sed in determ ining th e ph ysical offset length of

    calibration standards in sexed coaxial connector families.

    Pr ecise measur ement of the physical offset length is required t o

    determ ine th e OFFS ET DELAY of a given calibrat ion st an dar d. The

    physical offset length of one an d two port sta nda rds is a s follows.

    One port sta nda rdDistan ce between calibrat ion p lane an dterminating impedance.

    Two port stan dar dDista nce between the Port 1 an d Port 2

    calibration planes.

    The definition (location) of th e calibrat ion plan e in a calibrat ion

    sta nda rd is dependent on the geometry an d sex of the conn ector

    type. The calibrat ion plan e is defined a s a p lan e which is

    perpendicular t o the a xis of the condu ctor a nd either coincident

    with, or a t a fixed distance from, the outer condu ctor m at ing

    sur face. This mat ing surface is located at th e conta ct points of the

    outer condu ctors of th e test port an d the calibration stan dar d.

    To illustr at e th is, consider t he following conn ector type int erfaces:

    7mm Coaxial Connector Interface

    The calibrat ion pla ne is located coincident to both th e inn er a nd

    outer condu ctor m ating surfaces as sh own. Un ique to th is conn ector

    type is th e fact tha t th e inn er an d out er conductor ma ting surfaces

    ar e located coincident as well as ha ving h erma phr oditic (sexless)

    conn ectors. In all oth er coaxial conn ector fam ilies th is is not th e

    case.

    26

    Appen dix BDimen sional Considerat ions In Coaxial Conn ectors

    Standard Standard ClassClass Numbers Label

    S 11B 2 PSHORT 2

    S 11C 3 PLOAD

    S 22A 1 PSHORT 1

    S 22B 2 PSHORT 2

    S 22C 3 PLOAD

    FWD TRANS 4 THRU

    FWD MATCH 4 THRU

    REV TRANS 4 THRU

    REV MATCH 4 THRU

    RESPONSE 1,2,4 RESPONSE

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    Note

    During measu remen t calibrat ion using th e HP 85054 N-type

    Calibra tion Kit, sta nda rd la bels for th e opens an d short s indicate

    both t he sta nda rd type an d the sex of th e calibration test port. Thesex (M or F ) indicates t he sex of th e test p ort, NOT th e sex of th e

    standard.

    The calibration plane in other coaxial types sh ould be defined at one

    of th e condu ctor inter faces to provide a n ea sily verified referen ce for

    physical length measurements.

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