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PB 1990-2009                                                                                                                                  AN 02



                                                                          DWN & DWV

 MODELING OF ACTIVE COMPONENTS
The fast growth of signal integrity                                       equivalents, as those utilized in the
and EMC problems of digital                                               transmission line simulators, are                          The modeling approach shown in
systems requires very accurate                                            not sufficient to describe the                             this application note is based on the
modeling techniques of active                                             unpredictable dynamic effects of                           primitives offered by the DWN
components, especially regarding                                          real devices.                                              simulator and allows the designer to
their dynamic behavior at high
speed. On the other hand, the
growing complexity of systems
imposes severe goals regarding the                                                                Ctdr
                                                                                                                 coax
simulation speed. As known the
two requirements of speed and                                                                                        Z0                    DUT
accuracy are opposite, so that the
                                                                                                                           R
traditional approach to these                                                                        Vbias                     vcc
problems leads to unsatisfying                                                     TDR                                         gnd
                                                                                                                                             ground plane
results. SPICE models, for
example, are not suitable for the                                                       Fig. 1: Measurement set-up for TDR characterization.
simulation of circuits with more
than few hundred elements,                                                A behavioral or mixed electrical-                          perform very accurate electrical
because the simulation time rises                                         behavioral approach is much more                           simulations with a speed at least
prohibitively       with      circuit                                     effective to face real-world                               two orders of magnitude greater
complexity      and     convergence                                       situations, where the effects of                           than other commercial products1.
problems         could        occur.                                      active parts, lossless or lossy                            This modeling procedure is simple
Furthermore, the results often don't                                      interconnections, EMC constraints,                         and the data can be collected from
reflect the real situations. In fact,                                     and electrical, logical and timing                         several sources. In particular, it is
the parasitic effects introduced by                                       issues      must      be      taken                        possible     to    extract    model
the discontinuities of the package                                        simultaneously into account.                               parameters from datasheet, from
and the pin bouncing (caused by                                                                                                      analog simulations (SPICE, ELDO,
simultaneous output switching)                                            DWN                                 MODELING               etc.) or, better,   directly   from
can often invalidate the results. On                                      APPROACH                                                   TDR               (Time      Domain
the other hand, simple circuital                                                                                                     Reflectometer)       measurements.
1.00 #                                                                                                                               Thanks to this fast experimental
                                                                                                                 #RHO
                                                                                                          D                          approach, the model can take all the
0.80 #
                                                                                                                                     non-linearities of the I/O cells of
0.60 #                                                                                                                               the device into account,
                                                 C
0.40 #

                            B
0.20 #
                 A

-0.00 #



-0.20 #



-0.40 #



-0.60 #



-0.80 #



-1.00 #
                                                                                                                                     1DWN uses a very fast DSP engine that
          0.40       0.60       0.80      1.00       1.20   1.40   1.60   1.80   2.00      2.20    2.40       2.60                   assures high speed without convergence
                                                                                                                TIME[nS]             problems.
                                       Fig. 2: TDR response for a CMOS input

HDT Copyright                          1990
PB 1990-2009
                                                                                                       behavior of the input circuitry (the
                                                          STF
            1     Tin                              Vout                                                reactive effects of the input gates in
                                                                                    2
                                           1                                                           this particular case). The final value
                 Z0,Td                                                                                 of the transient C (point D) is the
                                           0                               +
                         Bin        -R         0     5 Vin                                             reflection coefficient determined by
                                                                               E1
                                                                                                       the input ohmic resistance of the
                                                                                                       device under test in parallel with
          Fig. 3: Simple CMOS input model including logic level shift.                                 the biasing resistor R. It is possible
                                                                                                       to compensate the error introduced
                                                                                                       by the resistor R with the insertion
as well as its dynamic behavior.                   the package must be kept as short
                                                                                                       of a negative resistor -R in the
The currents flowing through the                   as possible.
                                                                                                       model description, as shown in
model are simulated with accuracy                  The DC biasing of the input is
                                                                                                       Fig.3. Sweeping the bias voltage
and can be used for ground                         obtained via a variable supply
                                                                                                       within the possible operation range
bouncing noise analysis and EMI                    (Vbias). The resistor R is chosen as
                                                                                                       (0V - 5V) there is no practical
verifications. Furthermore, these                  high as possible, in order to provide
                                                                                                       deviation of the behavior shown in
TDR-based models are typically                     a high-impedance path for the
                                                                                                       Fig.2, so that a simple linear model
                                                                                                       is suitable for this situation. The
   .SUBCKT INCMOS 1 2                                                                                  choice       is a mixed          TLM
   * TLM model of package                                                                              (Transmission Line Modeling) and
   TIN 1 0 3 0 Z0=75 TD=200PS                                                                          BTM (Behavioral Time Modeling)
   * input dynamic behavior
                                                                                                       approach. In particular the package
   BIN 3 0 S11=PWL(0 0.2 30PS -0.6 0.6NS -0.5 1.5NS 0.7 2.5NS
   + 0.85 5NS 1.0) Z0=50 TD=0                                                                          effect can be modeled as a short
   * voltage shifter ("0" -> 0V, "1"->1V)                                                              transmission line, while the
   E1 2 0 4 0 PWL(0V 0 2.4V 0 2.6V 1 5V 1)                                                             behavior of the active input is
   .ENDS INCMOS                                                                                        directly modeled by a PWL one-
          Fig. 4: Simple CMOS input model description (DWN syntax).                                    port scattering element (Bin)3. The
                                                                                                       separation of package effects
wideband2 and are suitable for                     reflectometer, but low enough to                    allows the user to simulate the
EMC analysis of even slow                          bias the input at the desired level.                behavior of internal input node so
components.                                        A typical TDR response is shown                     that it is possible to extrapolate
                                                   in Fig.2 where it is possible to
SIMPLE CMOS INPUT
                                                                                            10 VDD
This section is dedicated to the                                                                  Bdvdd
modeling of a CMOS input without                                                        ASvdd
protection diodes. The model is
                                                                                                                       ST F
based         on       experimental                                                      Pvdd                   Vout
reflectometer characterizations of                    1      T in                                       1                                   2
the input stage of the device. The
                                                            Z0,Td                                       0
test-fixture is shown in Fig.1. The                                                                                    Vin         +
                                                                                                            0      5
TDR output pulse (typically a                                       Bin                   Pgnd
                                                                                                                                       E1
voltage step with 250mV amplitude
                                                                                                   Bdgnd
and 25ps rising edge) is fed to the                                                     ASgnd
input pin of DUT package via a
DC-block capacitor and a semi rigid                                                         20   GND
50 coax cable. The realization of
                                                             Fig. 5: CMOS input model including protection diodes and supply pins.
the test-fixture must take all high-
speed issues into account, so that                 identify four sections: the peak                    device responses with other
ground and Vdd supply planes must                  identified by the label A is the                    packages. If this is not required, a
be provided and the interconnection                parasitic effect due to the launch                  whole BTM model can include the
of the device to the fixture must                  cable where it is connected to the                  package effects.
reflect that of real operation. The                device under test.
connection of the launch cable to                  The section B is related to package                 3 The PWL (PieceWise Linear) fitting of
                                                   and package-die bond effects. The                   Bin is easily extracted from the actual
2 Current TDR analysis offers band up to           section C shows the dynamic                         behavior using the MCS (Model Capture
40 GHz.                                                                                                System) facility of DWV.
PB 1990-2009
0.60 #
                                                                                                    clamping diodes for protection
0.40 #                                                                                              against electrical discharge, so an
                                                                               Iclamp=0.2MA         accurate model must take both their
0.20 #
                                                                                                    non-linear and dynamic effects into
-0.00 #                                                                                             account, as shown in Fig.5. In this
                                                                                                    situation it is necessary to introduce
                                                                               Iclamp=1MA
-0.20 #
                                                                                                    the effect of power and ground pins
-0.40 #
                                                                                                    because during the clamping action
                                                                                                    the diode current flows through
                                                                               Iclamp=5MA
-0.60 #
                                                                                                    them.
-0.80 #                                                                        Iclamp=20MA


-1.00 #
      0.00   2.00   4.00   6.00    8.00   10.00        12.00   14.00   16.00   18.00      20.00           V (V)         I(mA)
                                                                                       TIME[nS]
                                                                                                            0.00           0.0
                                              a)                                                            0.50           0.1
 0.60 #

                                                                                                            0.55           0.3
 0.40 #
                                                                                                            0.60           0.9
 0.20 #
                                                                                                            0.65           1.8
                                                                            Iclamp=0.5MA
                                                                                                            0.68           3.8
-0.00 #
                                                                                                            0.70          10.7
-0.20 #
                                                                          Iclamp=1MA                        0.72          25.4
                                                                                                  Tab.1: Example of static charac-
-0.40 #                                                                                           teristic of clamping diode.
-0.60 #
                                                                           Iclamp=5MA               Often each diode has a specific
                                                                                                    static and dynamic behavior.
-0.80 #
                                                                          Iclamp=20MA
                                                                                                    Sometimes the static characteristic
                                                                                                    is available from the datasheet with
-1.00 #
      0.00   0.20   0.40    0.60     0.80    1.00      1.20    1.40    1.60       1.80       2.00
                                                                                                    a format similar to tab.1. Biasing
                                                                                       TIME[nS]     the device at 5.7V (on the DUT
                                              b)                                                    pin) it is possible to test the
Fig. 6: Reflectometer response of protection diodes versus clamping current: a) VDD diode, clamping effect toward the supply,
b) GND diode.                                                                                       while a bias voltage of -0.7V
                                                                                                    tests of the ground clamping diode.
In order to simulate the I/O timing                                                                 By changing the current in
properties of the device it is CMOS                                 INPUT                WITH clamping conditions, it is possible
possible to include in the model the PROTECTION DIODES.                                             to collect a family of reflectometer
input static transfer characteristics                                                               responses for each protection diode.
of the device with output values Usually, a CMOS input has two Fig.6 shows an example of these
shifted to the logical state "0" and
"1". In this way the model is                     0.60 #


directly interfaceable to a core                  0.40 #
block able to model the timing logic
behavior of the component. Fig.4                  0.20 #


shows DWN net list of the model
                                                  -0.00 #
composed by the Bin block and the
transmission line that models the                 -0.20 #

package contribution. The level
                                                  -0.40 #
shifter completes the model. DWN
uses a SPICE-like syntax and this                 -0.60 #

model can become a DWN sub
                                                  -0.80 #
circuit.
Upon the model is completed, it is                -1.00 #

possible to validate it through a                       0.00    0.20    0.40    0.60        0.80   1.00   1.20   1.40   1.60   1.80         2.00

                                                                                                                                      TIME[nS]
simulation of the measure set-up                  Fig. 7: PWL fitting of a clamping diode reflectometer response: the last sample is
that has been used during the                     extrapolated to -1000m .
characterization (see App.A).
PB 1990-2009
                                                           10     VDD internal                                  available) or directly from V-I
                                      DT F                                                                      measurements and used for Pvdd
                               Vout                                E1                                           and Pgnd (non-linear resistors)
                                                                                                                descriptions;
                                       t                           Pvdd                                         - plot the TDR dynamic behavior
                                                                                                                of both protection diodes in
                 ST F
                                                                  sw1                                           clamping condition (with a suitable
          Vout                                                                                   2
   1                                                                                                            value of clamping current4). The
                                                                  sw2
                                                                                       Z0,T d                   bottom value of the response,
                                                                                Bout
                 Vin                                                                                            always higher than -1000m (for
                                      DT F        Pgnd                                                          typical CMOS protection diodes
                              Vout                                                                              the value ranges from -700m to
                                                                    E2
                                                                                                                -900m ),      is   the    reflection
                                       t
                                                                                                                coefficient related to the ohmic
                                                        20         GND internal
                                                                                                                resistance of the diode. Because
                                                                                                                this resistance has been already
                 Fig. 8: CMOS output behavioral (BTM) model.
                                                                                                                taken into account by the non-
                                                                                                                linear resistor Pvdd and Pgnd, it is
graphs for a CMOS EPROM in DIL                      - extract the package and Bin
                                                                                                               necessary to compensate this effect
package. It is interesting to observe         descriptions as already explained
                                                                                                               during the PWL extraction with the
the different behavior of the two
                                                                                                               related utility MCS of DWV, as
diodes.                                            R( )                                                        shown in Fig.7.
The ground diode shows a very fast
                                                      1M                                                       The dynamic behavior of the VDD
response so that low impedance                                     sw2                    sw1                  and GND path through the supply
levels are reached in about a                          1K                                                      pins is easily modeled in a
nanosecond. On the contrary, the
                                                                                                               behavioral way. This can be
Vdd diode shows a slow transient                       1
                                                                                                               accomplished by means of the two
(several nanoseconds long) before
                                                                          2.5            5                     S-parameter blocks Bdvdd and
it reaches low impedance levels.                                               Vcontrol                        Bdgnd obtained as PWL fittings of
This slow behavior obviously has                 Fig. 9: Static characteristics of the two                     actual TDR behaviors. The two
significant impact in the clamp                  switches.
                                                                                                               series adaptors ASvdd and ASgnd
action, so that, if a voltage
                                                                                                               are used to connect the blocks in
overshoot due to reflections occurs,          for the model of Fig.3;
                                                                                                               series to the supply paths. In fact
it will be effectively clamped only
after the delay observed in the TDR          0.60 #

characterization. This kind of
situation is very common and                 0.40 #


difficult to forecast. This modeling         0.20 #
                                                                                                                                             1MA


approach,      based     on     TDR
measurement, is the best way to              -0.00 #

pinpoint these effects. Furthermore,                                                                                                        2MA


during the modeling, the user gets           -0.20 #


also a lot of information, not                                                                                                             5MA
                                             -0.40 #
supplied by the manufacturer,
concerning the "quality" of the              -0.60 #
                                                                                                                                           10MA

component he is going to use.
                                                                                                                                           20MA
To complete the model shown in               -0.80 #

Fig.5 the following procedure is
suggested:                                   -1.00 #
                                                   0.00           0.20      0.40          0.60       0.80   1.00    1.20    1.40    1.60          1.80        2.00

                                                                                                                                                         TIME[nS]
                                                                Fig. 10: TDR responses for an ECL output versus biasing current.


                                                    - determine the static input                               the series adaptor connects the one-
                                              characteristic of the DUT in normal
                                              and clamping conditions. The data
                                              can be extracted from datasheet (if                              4 It is suggested to increase the clamping
                                                                                                               current up to its maximum limits.
PB 1990-2009
                                                                                                              performed by two switches
                                                                        Pout         AS         Tout     2
                                            DTF                                                               controlled by the output voltage
          Vout STF                   Vout                                                    Z0,Td            itself.    The      two     switches,
   1
                                                                 Eout                     Bout                implemented by voltage controlled
                    Vin                        t
                                                             +                                                resistors, have low impedance when
                                                                                                              closed in order to not affect the
                                                    20         GND
                                                                                                              output impedance value. Fig. 9
                    Fig. 11: ECL output behavioral model
                                                                                                              shows suggested static transfer
                                                                                                              characteristics that could be used to
                                                                                                              control the switch resistance. The
port element placed at its third port                pin bouncing phenomena, as it will                       current flowing from VDD to the
between        the     two     nodes                 be discussed later.                                      load during the 0->1 transition and
corresponding to its remaining                                                                                from the load to GND during the 1-
ports.                                               CMOS OUTPUT.                                             >0 transition is accurately modeled.
The TDR dynamic behavior of the                                                                               Because the switches transitions are
diodes in clamping conditions                        Typically, the outputs of a CMOS                         not abrupt, also the current feed
takes      into      account     the                 driver act as linear resistor until a                    through between power and ground
contributions of all the elements                    determined output current level is                       during the transitions is modeled, a
present along the signal path and,                   reached. Increasing the current                          typical effect of CMOS circuitry.
in particular, the package effect of                 level, the output enters the                             The two dynamic characteristics are
the input pin, the diode                             saturation region, where           its                   modeled          directly        from
capacitance, the on-chip power and                   resistance grows.                                        measurements of the output voltage
ground rails and the bonding and                     Other non-linear effects are                             transient with the driver unloaded,
package effects of the power pins.                   introduced by the output clamp                           using PWL fitting. The non-linear
If the diode is a "good diode" (that                 diodes. The proposed model                               resistors represent the static
means that the low impedance                         accepts logic levels (0,1) as input                      characteristics of the output stage in
condition is achieved in less than 1                 and the first STF block (Static                          both     normal      and    clamping
ns), its intrinsic dynamic effect is                 Transfer Function) shifts the                            conditions.
negligible compared with the                         incoming (logic levels) signal to the                    The Bout block models the dynamic
                                                                                                              behavior of the output in normal
                                                                                                              operating condition.
   VDD         AS
                                                                                                              A description of the package
                                                                                                              completes the model.
        Bvdd                                                                                     out1
                          in1   IN                                        OUT
                                                                                                              ECL OUTPUT
                          in2        IN                                        OUT               out2
                                                         Timing/logic
                                                           CORE
                                                                                                              An ECL device presents a strong
                                          IN                                    OUT
                                                         (logic levels)                                       non-linearity     of    the    output
                                                                                                              resistance at low current levels. In
                                                                                                              fact,    the     ECL     output    is
                      inm                      IN                                         OUT          outn
        Bgnd                                                                                                  implemented by a bipolar emitter
                                                                                                              follower that has low output
  GND
                                                                                                              resistance (normally less than 10
            AS
                                                                                                              at 10mA biasing) for normal
Fig. 12: Complete device model including logic/timing behavior and simultaneous                               operating current. During the 1-> 0
switching noise effect.
                                                                                                              transition there are situations in
power and ground distribution                        desired output levels. The two                           which the output transistor goes
effects, so that the blocks Bdvdd                    dynamic transfer functions (DTF)                         near cut-off and its output
and Bdgnd can be obtained from                       model the actual behavior of the                         impedance greatly increases. Fig.10
the measured dynamic behavior of                     output waveform without load.                            shows the reflectometer response of
the power pins5. This model                          The dynamic behavior of the                              an ECL output with different
allows accurate simulation of the                    clamping diodes is taken into                            biasing current for both "1" and "0"
                                                     account by the dynamic model of                          logic states. It is possible to point
                                                     the power pins, as discussed in the                      out the sensitivity of the ohmic
                                                     previous section. The switching                          resistance (given by the right-end
5 Extracted from TDR characterizations of            between the two logical states is                        steady-state responses) versus the
the power pins.                                                                                               current.
PB 1990-2009
The dynamic behavior is usually                output drivers affects the input                times (~1 hour). The wide-
the same for both "0" and "1" logic            stage operation.                                bandwidth models are also suitable
states6 as well as the static output           The core sections model the                     for EMC analysis and in very high-
characteristics. The model structure           internal logical functions of the               speed applications involving the
is shown in Fig.11.                            device which can be represented by              use of new packaging and
The static transfer function                   logical functions (AND, OR, etc).               interconnection technologies, like
translates the signal from the logic           The logic behavior can be modeled               the MCMs (Multi-Chip Modules).
input levels to ECL output levels.             in DWN using voltage controlled
The dynamic transfer function has              switches.                                       APPENDIX A
been represented by a PWL fitting              With a correct introduction of
of the output waveform (driver                 delays along the input, core, or                This     section    describes   the
unloaded). The non-linear resistor             output sections, the macro model                validation of the device model that
is described using the V-I static
characteristic of the output. The
                                                                 E1=Vcs        Ctdr      sw1
Bout and package models are
                                                                                                                      Model
extracted with the same procedure                               +
                                                            1                                                         under
described in the previous sections.                                                                                    test
The pin #20 can be connected                                                  td=50ns                    sw2
directly to GND or to other                            +
                                                            25mV/25ps
circuitry taking pin bouncing                   Vtdr                                                      Cs=1pF
                                                                                        Bias
effects into account.
                                                                55ns      t
PIN BOUNCING EFFECT                                             Fig. 13: Simulation scheme for model validation.

All the models proposed for input              allows accurate electrical, timing              has been created using the
and output sections of the device              and logic simulation at the same                behavioral approach. The model is
are suitable for simulations that              time.                                           validated through a simulation of
take the simultaneously switching                                                              the same measure set-up that has
noise into account. The model of a             CONCLUSION                                      been       used       for        device
complex I/O section of a device                                                                characterization. The model is
with package effects is shown in               The effects of high-speed operation             validated by direct comparison of
Fig.12.                                        of active devices are very complex              the simulated waveforms with the
All the I/O models are coupled by              and involve several phenomena.                  actual ones. A very fast step (25ps)
the dynamic behavior of the power              The only way to get accurate                    simulates the TDR pulse. Due to the
and ground rails on chip, by the               models is through experimental                  decoupling capacitor connected to
bonding wires and the package                  characterization that can take all the          the TDR, the initial transient during
itself. The Bdvdd and Bdgnd                    effects into account, pinpointing               the simulation could be very long.
elements are used once and replace             unusual operation modes that often              In fact, the TDR step must be only
all the dynamic models of the                  occur. DWN & DWV allow direct                   activated after the initial transient is
clamping diodes for both input and             utilization of the experimental                 exhausted and when the device is
output models (with the exception              measures to build very accurate and             biased at the proper operating point.
of "slow" diodes, as previously                reliable models without resorting to            Fig.13 shows a scheme that can be
mentioned). The power and ground               circuital equivalent.                           used for the simulation of TDR
coupling allows a good simulation              In this way the user is able to build           responses. At time 0 the switch sw1
of the pin bouncing effect in both             up his own library of DWN models                is open and the switch sw2 is
normal and clamping operating                  of active and passive components.               closed. The bias generator can be a
conditions. It is interesting to point         These models can be utilized for                current generator with very high
out that the macro model (that is              fast and accurate simulation of                 internal impedance or a voltage
described as a sub circuit using the           digital systems both in the pre-                generator with an internal resistor
SPICE-like syntax of DWN)                      layout and in the post-layout phase             greater than 10k . The circuit is
couples the input section of the               of the design. In order to automate             designed in order to use a current
device with the output one. As a               this type of analysis, DWN &                    generator for current greater than
consequence, the noise due to the              DWV are interfaced to the most                  100µA (for example validating
                                               popular CAD/CAE environments                    clamping diodes) and a voltage
                                               through a specific tool (PRESTO)                generator for current lower than
6 In fact, a unique transistor is active for   allowing accurate and exhaustive                100µA (for example testing
both the logical states.                       simulation of PCB boards in short
PB 1990-2009
elements with very high input
impedance). The values of the
current or voltage bias can be
positive or negative (source or
sink). After 50ns the device is
biased at the correct operating point
and the generator E1 copies the
voltage present at the pin of the
model. At this time, the two
switches change condition and a
step of 25mV amplitude and 25ps
rise time is fed to the model. The
amplitude of the signal at the test
point 1 multiplied by 80 (because
of the 25mV step) gives the
reflectometer     response     scaled
between -1000m and +1000m in
order to provide a direct
comparison to the TDR measure.

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Modeling Active Components for Fast and Accurate Simulation

  • 1. PB 1990-2009 AN 02 DWN & DWV MODELING OF ACTIVE COMPONENTS The fast growth of signal integrity equivalents, as those utilized in the and EMC problems of digital transmission line simulators, are The modeling approach shown in systems requires very accurate not sufficient to describe the this application note is based on the modeling techniques of active unpredictable dynamic effects of primitives offered by the DWN components, especially regarding real devices. simulator and allows the designer to their dynamic behavior at high speed. On the other hand, the growing complexity of systems imposes severe goals regarding the Ctdr coax simulation speed. As known the two requirements of speed and Z0 DUT accuracy are opposite, so that the R traditional approach to these Vbias vcc problems leads to unsatisfying TDR gnd ground plane results. SPICE models, for example, are not suitable for the Fig. 1: Measurement set-up for TDR characterization. simulation of circuits with more than few hundred elements, A behavioral or mixed electrical- perform very accurate electrical because the simulation time rises behavioral approach is much more simulations with a speed at least prohibitively with circuit effective to face real-world two orders of magnitude greater complexity and convergence situations, where the effects of than other commercial products1. problems could occur. active parts, lossless or lossy This modeling procedure is simple Furthermore, the results often don't interconnections, EMC constraints, and the data can be collected from reflect the real situations. In fact, and electrical, logical and timing several sources. In particular, it is the parasitic effects introduced by issues must be taken possible to extract model the discontinuities of the package simultaneously into account. parameters from datasheet, from and the pin bouncing (caused by analog simulations (SPICE, ELDO, simultaneous output switching) DWN MODELING etc.) or, better, directly from can often invalidate the results. On APPROACH TDR (Time Domain the other hand, simple circuital Reflectometer) measurements. 1.00 # Thanks to this fast experimental #RHO D approach, the model can take all the 0.80 # non-linearities of the I/O cells of 0.60 # the device into account, C 0.40 # B 0.20 # A -0.00 # -0.20 # -0.40 # -0.60 # -0.80 # -1.00 # 1DWN uses a very fast DSP engine that 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60 assures high speed without convergence TIME[nS] problems. Fig. 2: TDR response for a CMOS input HDT Copyright 1990
  • 2. PB 1990-2009 behavior of the input circuitry (the STF 1 Tin Vout reactive effects of the input gates in 2 1 this particular case). The final value Z0,Td of the transient C (point D) is the 0 + Bin -R 0 5 Vin reflection coefficient determined by E1 the input ohmic resistance of the device under test in parallel with Fig. 3: Simple CMOS input model including logic level shift. the biasing resistor R. It is possible to compensate the error introduced by the resistor R with the insertion as well as its dynamic behavior. the package must be kept as short of a negative resistor -R in the The currents flowing through the as possible. model description, as shown in model are simulated with accuracy The DC biasing of the input is Fig.3. Sweeping the bias voltage and can be used for ground obtained via a variable supply within the possible operation range bouncing noise analysis and EMI (Vbias). The resistor R is chosen as (0V - 5V) there is no practical verifications. Furthermore, these high as possible, in order to provide deviation of the behavior shown in TDR-based models are typically a high-impedance path for the Fig.2, so that a simple linear model is suitable for this situation. The .SUBCKT INCMOS 1 2 choice is a mixed TLM * TLM model of package (Transmission Line Modeling) and TIN 1 0 3 0 Z0=75 TD=200PS BTM (Behavioral Time Modeling) * input dynamic behavior approach. In particular the package BIN 3 0 S11=PWL(0 0.2 30PS -0.6 0.6NS -0.5 1.5NS 0.7 2.5NS + 0.85 5NS 1.0) Z0=50 TD=0 effect can be modeled as a short * voltage shifter ("0" -> 0V, "1"->1V) transmission line, while the E1 2 0 4 0 PWL(0V 0 2.4V 0 2.6V 1 5V 1) behavior of the active input is .ENDS INCMOS directly modeled by a PWL one- Fig. 4: Simple CMOS input model description (DWN syntax). port scattering element (Bin)3. The separation of package effects wideband2 and are suitable for reflectometer, but low enough to allows the user to simulate the EMC analysis of even slow bias the input at the desired level. behavior of internal input node so components. A typical TDR response is shown that it is possible to extrapolate in Fig.2 where it is possible to SIMPLE CMOS INPUT 10 VDD This section is dedicated to the Bdvdd modeling of a CMOS input without ASvdd protection diodes. The model is ST F based on experimental Pvdd Vout reflectometer characterizations of 1 T in 1 2 the input stage of the device. The Z0,Td 0 test-fixture is shown in Fig.1. The Vin + 0 5 TDR output pulse (typically a Bin Pgnd E1 voltage step with 250mV amplitude Bdgnd and 25ps rising edge) is fed to the ASgnd input pin of DUT package via a DC-block capacitor and a semi rigid 20 GND 50 coax cable. The realization of Fig. 5: CMOS input model including protection diodes and supply pins. the test-fixture must take all high- speed issues into account, so that identify four sections: the peak device responses with other ground and Vdd supply planes must identified by the label A is the packages. If this is not required, a be provided and the interconnection parasitic effect due to the launch whole BTM model can include the of the device to the fixture must cable where it is connected to the package effects. reflect that of real operation. The device under test. connection of the launch cable to The section B is related to package 3 The PWL (PieceWise Linear) fitting of and package-die bond effects. The Bin is easily extracted from the actual 2 Current TDR analysis offers band up to section C shows the dynamic behavior using the MCS (Model Capture 40 GHz. System) facility of DWV.
  • 3. PB 1990-2009 0.60 # clamping diodes for protection 0.40 # against electrical discharge, so an Iclamp=0.2MA accurate model must take both their 0.20 # non-linear and dynamic effects into -0.00 # account, as shown in Fig.5. In this situation it is necessary to introduce Iclamp=1MA -0.20 # the effect of power and ground pins -0.40 # because during the clamping action the diode current flows through Iclamp=5MA -0.60 # them. -0.80 # Iclamp=20MA -1.00 # 0.00 2.00 4.00 6.00 8.00 10.00 12.00 14.00 16.00 18.00 20.00 V (V) I(mA) TIME[nS] 0.00 0.0 a) 0.50 0.1 0.60 # 0.55 0.3 0.40 # 0.60 0.9 0.20 # 0.65 1.8 Iclamp=0.5MA 0.68 3.8 -0.00 # 0.70 10.7 -0.20 # Iclamp=1MA 0.72 25.4 Tab.1: Example of static charac- -0.40 # teristic of clamping diode. -0.60 # Iclamp=5MA Often each diode has a specific static and dynamic behavior. -0.80 # Iclamp=20MA Sometimes the static characteristic is available from the datasheet with -1.00 # 0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00 a format similar to tab.1. Biasing TIME[nS] the device at 5.7V (on the DUT b) pin) it is possible to test the Fig. 6: Reflectometer response of protection diodes versus clamping current: a) VDD diode, clamping effect toward the supply, b) GND diode. while a bias voltage of -0.7V tests of the ground clamping diode. In order to simulate the I/O timing By changing the current in properties of the device it is CMOS INPUT WITH clamping conditions, it is possible possible to include in the model the PROTECTION DIODES. to collect a family of reflectometer input static transfer characteristics responses for each protection diode. of the device with output values Usually, a CMOS input has two Fig.6 shows an example of these shifted to the logical state "0" and "1". In this way the model is 0.60 # directly interfaceable to a core 0.40 # block able to model the timing logic behavior of the component. Fig.4 0.20 # shows DWN net list of the model -0.00 # composed by the Bin block and the transmission line that models the -0.20 # package contribution. The level -0.40 # shifter completes the model. DWN uses a SPICE-like syntax and this -0.60 # model can become a DWN sub -0.80 # circuit. Upon the model is completed, it is -1.00 # possible to validate it through a 0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00 TIME[nS] simulation of the measure set-up Fig. 7: PWL fitting of a clamping diode reflectometer response: the last sample is that has been used during the extrapolated to -1000m . characterization (see App.A).
  • 4. PB 1990-2009 10 VDD internal available) or directly from V-I DT F measurements and used for Pvdd Vout E1 and Pgnd (non-linear resistors) descriptions; t Pvdd - plot the TDR dynamic behavior of both protection diodes in ST F sw1 clamping condition (with a suitable Vout 2 1 value of clamping current4). The sw2 Z0,T d bottom value of the response, Bout Vin always higher than -1000m (for DT F Pgnd typical CMOS protection diodes Vout the value ranges from -700m to E2 -900m ), is the reflection t coefficient related to the ohmic 20 GND internal resistance of the diode. Because this resistance has been already Fig. 8: CMOS output behavioral (BTM) model. taken into account by the non- linear resistor Pvdd and Pgnd, it is graphs for a CMOS EPROM in DIL - extract the package and Bin necessary to compensate this effect package. It is interesting to observe descriptions as already explained during the PWL extraction with the the different behavior of the two related utility MCS of DWV, as diodes. R( ) shown in Fig.7. The ground diode shows a very fast 1M The dynamic behavior of the VDD response so that low impedance sw2 sw1 and GND path through the supply levels are reached in about a 1K pins is easily modeled in a nanosecond. On the contrary, the behavioral way. This can be Vdd diode shows a slow transient 1 accomplished by means of the two (several nanoseconds long) before 2.5 5 S-parameter blocks Bdvdd and it reaches low impedance levels. Vcontrol Bdgnd obtained as PWL fittings of This slow behavior obviously has Fig. 9: Static characteristics of the two actual TDR behaviors. The two significant impact in the clamp switches. series adaptors ASvdd and ASgnd action, so that, if a voltage are used to connect the blocks in overshoot due to reflections occurs, for the model of Fig.3; series to the supply paths. In fact it will be effectively clamped only after the delay observed in the TDR 0.60 # characterization. This kind of situation is very common and 0.40 # difficult to forecast. This modeling 0.20 # 1MA approach, based on TDR measurement, is the best way to -0.00 # pinpoint these effects. Furthermore, 2MA during the modeling, the user gets -0.20 # also a lot of information, not 5MA -0.40 # supplied by the manufacturer, concerning the "quality" of the -0.60 # 10MA component he is going to use. 20MA To complete the model shown in -0.80 # Fig.5 the following procedure is suggested: -1.00 # 0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00 TIME[nS] Fig. 10: TDR responses for an ECL output versus biasing current. - determine the static input the series adaptor connects the one- characteristic of the DUT in normal and clamping conditions. The data can be extracted from datasheet (if 4 It is suggested to increase the clamping current up to its maximum limits.
  • 5. PB 1990-2009 performed by two switches Pout AS Tout 2 DTF controlled by the output voltage Vout STF Vout Z0,Td itself. The two switches, 1 Eout Bout implemented by voltage controlled Vin t + resistors, have low impedance when closed in order to not affect the 20 GND output impedance value. Fig. 9 Fig. 11: ECL output behavioral model shows suggested static transfer characteristics that could be used to control the switch resistance. The port element placed at its third port pin bouncing phenomena, as it will current flowing from VDD to the between the two nodes be discussed later. load during the 0->1 transition and corresponding to its remaining from the load to GND during the 1- ports. CMOS OUTPUT. >0 transition is accurately modeled. The TDR dynamic behavior of the Because the switches transitions are diodes in clamping conditions Typically, the outputs of a CMOS not abrupt, also the current feed takes into account the driver act as linear resistor until a through between power and ground contributions of all the elements determined output current level is during the transitions is modeled, a present along the signal path and, reached. Increasing the current typical effect of CMOS circuitry. in particular, the package effect of level, the output enters the The two dynamic characteristics are the input pin, the diode saturation region, where its modeled directly from capacitance, the on-chip power and resistance grows. measurements of the output voltage ground rails and the bonding and Other non-linear effects are transient with the driver unloaded, package effects of the power pins. introduced by the output clamp using PWL fitting. The non-linear If the diode is a "good diode" (that diodes. The proposed model resistors represent the static means that the low impedance accepts logic levels (0,1) as input characteristics of the output stage in condition is achieved in less than 1 and the first STF block (Static both normal and clamping ns), its intrinsic dynamic effect is Transfer Function) shifts the conditions. negligible compared with the incoming (logic levels) signal to the The Bout block models the dynamic behavior of the output in normal operating condition. VDD AS A description of the package completes the model. Bvdd out1 in1 IN OUT ECL OUTPUT in2 IN OUT out2 Timing/logic CORE An ECL device presents a strong IN OUT (logic levels) non-linearity of the output resistance at low current levels. In fact, the ECL output is inm IN OUT outn Bgnd implemented by a bipolar emitter follower that has low output GND resistance (normally less than 10 AS at 10mA biasing) for normal Fig. 12: Complete device model including logic/timing behavior and simultaneous operating current. During the 1-> 0 switching noise effect. transition there are situations in power and ground distribution desired output levels. The two which the output transistor goes effects, so that the blocks Bdvdd dynamic transfer functions (DTF) near cut-off and its output and Bdgnd can be obtained from model the actual behavior of the impedance greatly increases. Fig.10 the measured dynamic behavior of output waveform without load. shows the reflectometer response of the power pins5. This model The dynamic behavior of the an ECL output with different allows accurate simulation of the clamping diodes is taken into biasing current for both "1" and "0" account by the dynamic model of logic states. It is possible to point the power pins, as discussed in the out the sensitivity of the ohmic previous section. The switching resistance (given by the right-end 5 Extracted from TDR characterizations of between the two logical states is steady-state responses) versus the the power pins. current.
  • 6. PB 1990-2009 The dynamic behavior is usually output drivers affects the input times (~1 hour). The wide- the same for both "0" and "1" logic stage operation. bandwidth models are also suitable states6 as well as the static output The core sections model the for EMC analysis and in very high- characteristics. The model structure internal logical functions of the speed applications involving the is shown in Fig.11. device which can be represented by use of new packaging and The static transfer function logical functions (AND, OR, etc). interconnection technologies, like translates the signal from the logic The logic behavior can be modeled the MCMs (Multi-Chip Modules). input levels to ECL output levels. in DWN using voltage controlled The dynamic transfer function has switches. APPENDIX A been represented by a PWL fitting With a correct introduction of of the output waveform (driver delays along the input, core, or This section describes the unloaded). The non-linear resistor output sections, the macro model validation of the device model that is described using the V-I static characteristic of the output. The E1=Vcs Ctdr sw1 Bout and package models are Model extracted with the same procedure + 1 under described in the previous sections. test The pin #20 can be connected td=50ns sw2 directly to GND or to other + 25mV/25ps circuitry taking pin bouncing Vtdr Cs=1pF Bias effects into account. 55ns t PIN BOUNCING EFFECT Fig. 13: Simulation scheme for model validation. All the models proposed for input allows accurate electrical, timing has been created using the and output sections of the device and logic simulation at the same behavioral approach. The model is are suitable for simulations that time. validated through a simulation of take the simultaneously switching the same measure set-up that has noise into account. The model of a CONCLUSION been used for device complex I/O section of a device characterization. The model is with package effects is shown in The effects of high-speed operation validated by direct comparison of Fig.12. of active devices are very complex the simulated waveforms with the All the I/O models are coupled by and involve several phenomena. actual ones. A very fast step (25ps) the dynamic behavior of the power The only way to get accurate simulates the TDR pulse. Due to the and ground rails on chip, by the models is through experimental decoupling capacitor connected to bonding wires and the package characterization that can take all the the TDR, the initial transient during itself. The Bdvdd and Bdgnd effects into account, pinpointing the simulation could be very long. elements are used once and replace unusual operation modes that often In fact, the TDR step must be only all the dynamic models of the occur. DWN & DWV allow direct activated after the initial transient is clamping diodes for both input and utilization of the experimental exhausted and when the device is output models (with the exception measures to build very accurate and biased at the proper operating point. of "slow" diodes, as previously reliable models without resorting to Fig.13 shows a scheme that can be mentioned). The power and ground circuital equivalent. used for the simulation of TDR coupling allows a good simulation In this way the user is able to build responses. At time 0 the switch sw1 of the pin bouncing effect in both up his own library of DWN models is open and the switch sw2 is normal and clamping operating of active and passive components. closed. The bias generator can be a conditions. It is interesting to point These models can be utilized for current generator with very high out that the macro model (that is fast and accurate simulation of internal impedance or a voltage described as a sub circuit using the digital systems both in the pre- generator with an internal resistor SPICE-like syntax of DWN) layout and in the post-layout phase greater than 10k . The circuit is couples the input section of the of the design. In order to automate designed in order to use a current device with the output one. As a this type of analysis, DWN & generator for current greater than consequence, the noise due to the DWV are interfaced to the most 100µA (for example validating popular CAD/CAE environments clamping diodes) and a voltage through a specific tool (PRESTO) generator for current lower than 6 In fact, a unique transistor is active for allowing accurate and exhaustive 100µA (for example testing both the logical states. simulation of PCB boards in short
  • 7. PB 1990-2009 elements with very high input impedance). The values of the current or voltage bias can be positive or negative (source or sink). After 50ns the device is biased at the correct operating point and the generator E1 copies the voltage present at the pin of the model. At this time, the two switches change condition and a step of 25mV amplitude and 25ps rise time is fed to the model. The amplitude of the signal at the test point 1 multiplied by 80 (because of the 25mV step) gives the reflectometer response scaled between -1000m and +1000m in order to provide a direct comparison to the TDR measure.