AD650
REV. A
–4–
Figure 2b. Reset Mode Figure 2c. Integrate Mode
Figure 2d. Voltage Across C
INT
The positive input voltage develops a current (IIN = VIN/RIN)
which charges the integrator capacitor C
INT
. As charge builds up
on C
INT
, the output voltage of the integrator ramps downward
towards ground. When the integrator output voltage (Pin 1)
crosses the comparator threshold (–0.6 volt) the comparator
triggers the one shot, whose time period, t
OS
is determined by
the one shot capacitor C
OS
.
Specifically, the one shot time period is:
tOS= COS×6.8 ×103sec/F + 3.0 ×10
–7 sec
(1)
The Reset Period is initiated as soon as the integrator output
voltage crosses the comparator threshold, and the integrator
ramps upward by an amount:
∆V = tOS•
dV
dt
=
t
OS
C
INT
1mA – I
N
()
(2)
After the Reset Period has ended, the device starts another Integration Period, as shown in Figure 2, and starts ramping downward again. The amount of time required to reach the
comparator threshold is given as:
T
I
=
∆
V
dV
dt
=
t
OS/CINT
(1 mA – IIN)
I
N/CINT
= t
OS
1mA
I
IN
–1
(3)
The output frequency is now given as:
f
OUT
=
1
t
OS+TI
=
I
IN
tOS×1 mA
= 0.15
F•Hz
A
VIN/R
IN
COS+ 4.4 ×10
–11
F
(4)
Note that C
INT
, the integration capacitor has no effect on the
transfer relation, but merely determines the amplitude of the
sawtooth signal out of the integrator.
One Shot Timing
A key part of the preceding analysis is the one shot time period
that was given in equation (1). This time period can be broken
down into approximately 300 ns of propagation delay, and a
second time segment dependent linearly on timing capacitor
C
OS
. When the one shot is triggered, a voltage switch that holds
Pin 6 at analog ground is opened allowing that voltage to
change. An internal 0.5 mA current source connected to Pin 6
then draws its current out of C
OS
, causing the voltage at Pin 6 to
decrease linearly. At approximately –3.4 V, the one shot resets
itself, thereby ending the timed period and starting the V/F conversion cycle over again. The total one shot time period can be
written mathematically as:
tOS=
∆VC
OS
I
DISCHARGE
+T
GATE DELAY
(5)
substituting actual values quoted above,
tOS=
–3.4 V × C
OS
–0.5 ×10–3A
+300 ×10
–9
sec
(6)
This simplifies into the timed period equation given above.
COMPONENT SELECTION
Only four component values must be selected by the user. These
are input resistance R
IN
, timing capacitor COS, logic resistor R2,
and integration capacitor C
INT
. The first two determine the
input voltage and full-scale frequency, while the last two are
determined by other circuit considerations.
Of the four components to be selected, R2 is the easiest to define. As a pull-up resistor, it should be chosen to limit the current through the output transistor to 8 mA if a TTL maximum
V
OL
of 0.4 V is desired. For example, if a 5 V logic supply is
used, R2 should be no smaller than 5 V/8 mA or 625 Ω. A larger
value can be used if desired.
R
IN
and COS are the only two parameters available to set the fullscale frequency to accommodate the given signal range. The
“swing” variable that is affected by the choice of R
IN
and COS is
nonlinearity. The selection guide of Figure 3 shows this quite
graphically. In general, larger values of C
OS
and lower full-scale
input currents (higher values of R
IN
) provide better linearity. In
Figure 3, the implications of four different choices of R
IN
are
shown. Although the selection guide is set up for a unipolar configuration with a zero to 10 V input signal range, the results can
be extended to other configurations and input signal ranges. For
a full scale frequency of 100 kHz (corresponding to 10 V input),
you can see that among the available choices, R
IN
= 20 k and
C
OS
= 620 pF gives the lowest nonlinearity, 0.0038%. Also, if
you wish to use the highest frequency that will give the 20 ppm
minimum nonlinearity, it is approximately 33 kHz (40.2 kΩ and
1000 pF).
For input signal spans other than 10 V, the input resistance
must be scaled proportionately. For example, if 100 kΩ is called
out for a 0 V–10 V span, 10k would be used with a 0 V–1 V
span, or 200 kΩ with a ± 10 V bipolar connection.
The last component to be selected is the integration capacitor
C
INT
. In almost all cases, the best value for C
INT
can be calcu-
lated using the equation:
C
INT
=
10
–4
F / sec
f
MAX
(1000 pF minimum)
(7)
When the proper value for C
INT
is used, the charge balance
architecture of the AD650 provides continuous integration of
the input signal, hence large amounts of noise and interference