AD534 Data Sheet
Rev. D | Page 12 of 20
FUNCTIONAL DESCRIPTION
Figure 1 shows a functional block diagram of the AD534. Inputs
are converted to differential currents by three identical voltage-
to-current converters, each trimmed for zero offset. The product
of the X and Y currents is generated by a multiplier cell using
Gilbert’s translinear technique. An on-chip buried Zener
provides a highly stable reference, which is laser trimmed to
provide an overall scale factor of 10 V. The difference between
XY/SF and Z is then applied to the high gain output amplifier.
This permits various closed-loop configurations and dramati-
cally reduces nonlinearities due to the input amplifiers, a
dominant source of distortion in earlier designs.
The effectiveness of the new scheme can be judged from the
fact that, under typical conditions as a multiplier, the nonlinear-
ity on the Y input, with X at full scale (±10 V), is ±0.005% of FS.
Even at its worst point, which occurs when X = ±6.4 V, nonlinear-
ity is typically only ±0.05% of FS. Nonlinearity for signals applied
to the X input, on the other hand, is determined almost entirely
by the multiplier element and is parabolic in form. This error is a
major factor in determining the overall accuracy of the unit and
therefore is closely related to the device grade.
The generalized transfer function for the AD534 is given by


21
2121
ZZ
SF
YYXX
AV
OUT
where:
A is the open-loop gain of the output amplifier, typically
70 dB at dc.
X
1
, Y
1
, Z
1
, X
2
, Y
2
, and Z
2
are the input voltages (full scale = ±SF,
peak = ±1.25 SF).
SF is the scale factor, pretrimmed to 10.00 V but adjustable by
the user down to 3 V.
In most cases, the open-loop gain can be regarded as infinite,
and SF is 10 V. The operation performed by the AD534, can
then be described in terms of the following equation:
(X
1
X
2
)(Y
1
Y
2
) = 10 V (Z
1
Z
2
)
The user can adjust SF for values between 10.00 V and 3 V by
connecting an external resistor in series with a potentiometer
between SF and −V
S
. The approximate value of the total
resistance for a given value of SF is given by the relationship:
SF
SF
R
F
S
01
k4.5
Due to device tolerances, allowance should be made to vary R
SF
by ±25% using the potentiometer. Considerable reduction in
bias currents, noise, and drift can be achieved by decreasing SF.
This has the overall effect of increasing signal gain without the
customary increase in noise. Note that the peak input signal is
always limited to 1.25 SF (that is, ±5 V for SF = 4 V) so the
overall transfer function shows a maximum gain of 1.25. The
performance with small input signals, however, is improved by
using a lower scale factor because the dynamic range of the
inputs is now fully utilized. Bandwidth is unaffected by the use
of this option.
Supply voltages of ±15 V are generally assumed. However,
satisfactory operation is possible down to ±8 V (see Figure 7).
Because all inputs maintain a constant peak input capability of
±1.25 SF, some feedback attenuation is necessary to achieve
output voltage swings in excess of ±12 V when using higher
supply voltages.
PROVIDES GAIN WITH LOW NOISE
The AD534 is the first general-purpose multiplier capable of
providing gains up to ×100, frequently eliminating the need for
separate instrumentation amplifiers to precondition the inputs.
The AD534 can be very effectively employed as a variable gain
differential input amplifier with high common-mode rejection.
The gain option is available in all modes and simplifies the
implementation of many function-fitting algorithms such as
those used to generate sine and tangent. The utility of this
feature is enhanced by the inherent low noise of the AD534:
90 µV rms (depending on the gain), a factor of 10 lower than
previous monolithic multipliers. Drift and feedthrough are also
substantially reduced over earlier designs.
OPERATION AS A MULTIPLIER
Figure 15 shows the basic connection for multiplication. Note
that the circuit meets all specifications without trimming.
09675-007
AD534
+V
S
X
1
X
2
SF
Y
1
Y
2
OUT
Z
1
Z
2
–V
S
+15V
–15V
X INPUT
±10V FS
±
12V P
K
Y
INPUT
±10V FS
±
12V P
K
OPTIONAL SUMMING
INPUT, Z, ±10V PK
OUTPUT, ±12V PK =
(X1 – X
2
) (Y1 – Y
2
)
10V
+ Z
2
Figure 15. Basic Multiplier Connection
To reduce ac feedthrough to a minimum (as in a suppressed
carrier modulator), apply an external trim voltage (±30 mV
range required) to the X or Y input (see Figure 3). Figure 10
shows the typical ac feedthrough with this adjustment mode.
Note that the Y input is a factor of 10 lower than the X input
and should be used in applications where null suppression is
critical.
The high impedance Z
2
terminal of the AD534 can be used to
sum an additional signal into the output. In this mode, the
output amplifier behaves as a voltage follower with a 1 MHz
small signal bandwidth and a 20 V/µs slew rate. This terminal
should always be referenced to the ground point of the driven
system, particularly if this is remote. Likewise, the differential
inputs should be referenced to their respective ground poten-
tials to realize the full accuracy of the AD534.
A much lower scaling voltage can be achieved without any
reduction of input signal range using a feedback attenuator as
shown in Figure 16. In this example, the scale is such that V
OUT
=
Data Sheet AD534
Rev. D | Page 13 of 20
(X
1
– X
2
)(Y
1
– Y
2
), so that the circuit can exhibit a maximum
gain of 10. This connection results in a reduction of bandwidth
to about 80 kHz without the peaking capacitor C
F
= 200 pF. In
addition, the output offset voltage is increased by a factor of 10
making external adjustments necessary in some applications.
Adjustment is made by connecting a 4.7 MΩ resistor between
Z
1
and the slider of a potentiometer connected across the
supplies to provide ±300 mV of trim range at the output.
09675-008
AD534
+V
S
X
1
X
2
SF
Y
1
Y
2
OUT
Z
1
Z
2
–V
S
+15V
90k
10k
–15V
X INPUT
±10V FS
±12V P
K
Y INPUT
±10V FS
±12V P
K
OPTIONAL PEAKING
CAPACITOR C
F
= 200pF
OUTPUT, ±12V PK =
(X
1
– X
2
) (Y
1
– Y
2
)
(SCALE = 1V)
Figure 16. Connections for Scale Factor of Unity
Feedback attenuation also retains the capability for adding a
signal to the output. Signals can be applied to the high impedance
Z
2
terminal where they are amplified by +10 or to the common
ground connection where they are amplified by +1. Input signals
can also be applied to the lower end of the 10 kΩ resistor, giving
a gain of −9. Other values of feedback ratio, up to ×100, can be
used to combine multiplication with gain.
Occasionally, it may be desirable to convert the output to a
current into a load of unspecified impedance or dc level. For
example, the function of multiplication is sometimes followed
by integration; if the output is in the form of a current, a simple
capacitor provides the integration function. Figure 17 shows
how this can be achieved. This method can also be applied in
squaring, dividing, and square rooting modes by appropriate
choice of terminals. This technique is used in the voltage
controlled low-pass filter and the differential input voltage-to-
frequency converter shown in the Applications Information
section.
0
9675-009
AD534
+V
S
X
1
X
2
SF
Y
1
Y
2
OUT
Z
1
Z
2
–V
S
X INPUT
±10V FS
±12V PK
Y INPUT
±10V FS
±12V PK
I
OUT
(X
1
– X
2
) (Y
1
– Y
2
)
10V
1
RS
INTEGRATOR
CAPACITOR
(SEE TEXT)
CURRENT-SENSING
RESISTOR, RS, 2k MIN
Figure 17. Conversion of Output to Current
OPERATION AS A SQUARER
Operation as a squarer is achieved in the same fashion as the
multiplier except that the X and Y inputs are used in parallel.
The differential inputs can be used to determine the output
polarity (positive for X
1
= Y
l
and X
2
= Y
2
, negative if either one
of the inputs is reversed). Accuracy in the squaring mode is
typically a factor of 2 better than in the multiplying mode and
the largest errors occurring with small values of output for
input below 1 V.
If the application depends on accurate operation for inputs that
are always less than ±3 V, the use of a reduced value of SF is recom-
mended as described in the Functional Description section.
Alternatively, a feedback attenuator can be used to raise the
output level. This is put to use in the difference-of-squares
application to compensate for the factor of 2 loss involved in
generating the sum term (see Figure 20).
The difference of squares function is also used as the basis for a
novel rms-to-dc converter shown in Figure 27. The averaging
filter is a true integrator, and the loop seeks to zero its input. For
this to occur, (V
IN
)
2
− (V
OUT
)
2
= 0 V (for signals whose period is
well below the averaging time constant). Therefore, V
OUT
is
forced to equal the rms value of V
IN
. The absolute accuracy of
this technique is very high; at medium frequencies and for
signals near full scale, it is determined almost entirely by the
ratio of the resistors in the inverting amplifier. The multiplier
scaling voltage affects only open-loop gain. The data shown is
typical of performance that can be achieved with an AD534K,
but even using an AD534J, this technique can readily provide
better than 1% accuracy over a wide frequency range, even for
crest factors in excess of 10.
OPERATION AS A DIVIDER
Figure 18 shows the connection required for division. Unlike
earlier products, the AD534 provides differential operation on
both numerator and denominator, allowing the ratio of two
floating variables to be generated. Further flexibility results
from access to a high impedance summing input to Y
1
. As with
all dividers based on the use of a multiplier in a feedback loop,
the bandwidth is proportional to the denominator magnitude,
as shown in Figure 14.
AD534
+V
S
X
1
X
2
SF
Y
1
Y
2
OUT
Z
1
Z
2
–V
S
+15V
–15V
X INPUT
(DENOMINATOR)
±10V FS
±12V PK
Z INPUT
(NUMERATOR)
±10V FS
±12V PK
OPTIONAL
SUMMING
INPUT
±10V PK
+
OUTPUT, ±12V PK =
10V (Z
2
– Z
1
)
(X
1
– X
2
)
+ Y
1
09675-010
Figure 18. Basic Divider Connection
Without additional trimming, the accuracy of the AD534K and
AD534L is sufficient to maintain a 1% error over a 10 V to 1 V
denominator range. This range can be extended to 100:1 by
simply reducing the X offset with an externally generated trim
voltage (range required is ±3.5 mV maximum) applied to the
unused X input (see Figure 3). To trim, apply a ramp of +100 mV
to +V at 100 Hz to both X
1
and Z
1
(if X
2
is used for offset adjust-
ment; otherwise, reverse the signal polarity) and adjust the trim
voltage to minimize the variation in the output
Because the output is near 10 V, it should be ac-coupled for
this adjustment. The increase in noise level and reduction in
bandwidth preclude operation much beyond a ratio of 100 to 1.
AD534 Data Sheet
Rev. D | Page 14 of 20
As with the multiplier connection, overall gain can be introduced
by inserting a simple attenuator between the output and Y
2
terminal. This option and the differential ratio capability of the
AD534 are used in the percentage computer application shown
in Figure 24. This configuration generates an output propor-
tional to the percentage deviation of one variable (A) with
respect to a reference variable (B), with a scale of 1% per volt.
OPERATION AS A SQUARE ROOTER
The operation of the AD534 in the square root mode is shown
in Figure 19. The diode prevents a latching condition, which
may occur if the input momentarily changes polarity. As shown,
the output is always positive; it can be changed to a negative
output by reversing the diode direction and interchanging the X
inputs. Because the signal input is differential, all combinations
of input and output polarities can be realized, but operation is
restricted to the one quadrant associated with each combination
of inputs.
AD534
+V
S
X
1
X
2
SF
Y
1
Y
2
OUT
Z
1
Z
2
–V
S
+15V
–15V
Z INPUT
±10V FS
±12V PK
REVERSE THIS
AND X INPUTS
FOR NEGATIVE
OUTPUTS
R
L
(MUST BE
PROVIDED)
OPTIONAL
SUMMING
INPUT
X
, ±10V PK
+
09675-011
OUTPUT, ±12V PK =
10V (Z
2
– Z
1
) + X
2
Figure 19. Square-Rooter Connection
In contrast to earlier devices, which were intolerant of capacitive
loads in the square root modes, the AD534 is stable with all
loads up to at least 1000 pF. For critical applications, a small
adjustment to the Z input offset (see Figure 3) improves
accuracy for inputs below 1 V.
UNPRECEDENTED FLEXIBILITY
The precise calibration and differential Z input provide a degree
of flexibility found in no other currently available multiplier.
Standard multiplication, division, squaring, square-rooting
(MDSSR) functions are easily implemented while the restriction
to particular input/output polarities imposed by earlier designs
has been eliminated. Signals can be summed into the output,
with or without gain and with either a positive or negative
sense. Many new modes based on implicit function synthesis
have been made possible, usually requiring only external
passive components. The output can be in the form of a current,
if desired, facilitating such operations as integration.

AD534JDZ

Mfr. #:
Manufacturer:
Analog Devices Inc.
Description:
Special Purpose Amplifiers PREC IC Multiplier
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